Her Majesty’s Nautical Almanac Offi ceastro.ukho.gov.uk/nao/publicat/e_ukaa13.pdf · PREFACE This...

The UK Air Almanac 2013Her Majesty’s Nautical Almanac Offi ce

AP16022013 Edition

THE UK

AIR ALMANACFOR THE YEAR

2013

Prepared by

S.A. Bell

C.Y. Hohenkerk

D.B. Taylor

J.A. Whittaker

Her Majesty’s Nautical Almanac Office

The United Kingdom Hydrographic Office

2012

The UK Air Almanac, 2013 TEX ukaa13 20121001

c© Crown Copyright 2012This publication is protected by international copyrightlaw. No part of this publication may be reproduced, storedin a retrieval system or transmitted in any form or by anymeans, electronic, mechanical, photocopying, recording orotherwise without the prior written permission of The UKHydrographic Office, Admiralty Way, Taunton, SomersetTA1 2DN, United Kingdom.

NOTE

Every care is taken to prevent errors in the production ofthis publication. As a final precaution it is recommendedthat the sequence of pages in this copy be examined onreceipt. If faulty, it should be returned for replacement.


PREFACE

This is the sixteenth edition of The UK Air Almanac, which is prepared by HM NauticalAlmanac Office, United Kingdom Hydrographic Office, under the supervision of S.A. Bell,C.Y. Hohenkerk, D.B. Taylor and J.A. Whittaker. It contains data useful for the planningof activities where the level of illumination is important, particularly aircraft movements,and is produced to the general requirements of the Royal Air Force. From edition 2011onwards, it is published only in electronic form.

This volume can be regarded as an abridged version of The Air Almanac, which is nolonger published in the United Kingdom. For the purposes of continuity this publicationretains the designation Air Publication 1602. The UK Air Almanac contains informationon the times of rising and setting of the Sun and Moon as well as twilight times in atabular form for latitudes between N 72◦ and S 60◦. Graphical methods for determiningthis information at altitudes of up to 60 000 feet and at high latitudes are also provided.The illumination of the Moon and times of meridian passage of the Sun are tabulated.Standard times are also given for many places around the world. We would welcome anysuggestions for improving the content of this volume.

IAN MONCRIEFF CBE

Chief Executive, UK Hydrographic Office

The United Kingdom Hydrographic OfficeAdmiralty WayTauntonSomerset, TA1 2DNEngland

September 2012


THE UK AIR ALMANAC, 2013

Typeset using TEX


LIST OF CONTENTS

PageCalendar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

Explanation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Aim and Principle

1. Object . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32. Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

Risings, Settings and Twilights3. General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34. Sunrise, Sunset, Twilight . . . . . . . . . . . . . . . . . . . . . . . 35. Moonrise and Moonset . . . . . . . . . . . . . . . . . . . . . . . . 56. Sunlight and Moonlight Graphs . . . . . . . . . . . . . . . . . . . . 57. Corrections for Height of Observer . . . . . . . . . . . . . . . . . . 78. Percentage of the Moon Illuminated . . . . . . . . . . . . . . . . . . 99. Standard Times . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

10. Conversion of Arc to Time . . . . . . . . . . . . . . . . . . . . . . 911. Interpolation of Moonrise and Moonset . . . . . . . . . . . . . . . . 9

Sunrise, Sunset Times (even pages) . . . . . . . . . . . . . . . . . . . . . . 10

Civil Twilight Times (odd pages) . . . . . . . . . . . . . . . . . . . . . . . 11

Moonrise, Moonset Times . . . . . . . . . . . . . . . . . . . . . . . . . . 26

Rising, Setting and Depression GraphsLatitudes 72◦, 70◦, 68◦ . . . . . . . . . . . . . . . . . . . . . . . . . 62Latitudes 66◦, 64◦, 62◦ . . . . . . . . . . . . . . . . . . . . . . . . . 63Latitudes 60◦, 58◦, 56◦ . . . . . . . . . . . . . . . . . . . . . . . . . 64Latitudes 54◦, 52◦, 50◦ . . . . . . . . . . . . . . . . . . . . . . . . . 65Latitudes 45◦ – 0◦ . . . . . . . . . . . . . . . . . . . . . . . . . . . 66Table 1 — Meridian Passage and Declination of the Sun at 12h UT . . . . . . 67Tables 2 and 3 — Depression of Sun at Various Heights . . . . . . . . . . . 67

Semiduration of Sunlight, Twilight, latitudes N65◦ – N90◦ . . . . . . . . . . . . 69Semiduration of Moonlight, latitudes N65◦ – N90◦

January – April . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70May – August . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71September – December . . . . . . . . . . . . . . . . . . . . . . . . . 72

Percentage of the Moon Illuminated . . . . . . . . . . . . . . . . . . . . . . 73

Standard TimesList I — Places Fast on UTC . . . . . . . . . . . . . . . . . . . . . . 74List II — Places Normally Keeping UTC . . . . . . . . . . . . . . . . . 76List III — Places Slow on UTC . . . . . . . . . . . . . . . . . . . . . 76

Conversion of Arc to Time . . . . . . . . . . . . . . . . . . . . . . . . . 78

Interpolation of Moonrise and Moonset for Longitude . . . . . . . . . . . . . . 79

Publications of HM Nautical Almanac Office . . . . . . . . . . . . . . . . . . 80

World Map of Time Zones . . . . . . . . . . . . . . . . . . . . . . . Last page


HMNAO @ UKHO British Crown Copyright 2012

CALENDAR, 20132

DAYS OF THE WEEK AND DAYS OF THE YEAR

JAN. FEB. MAR. APR. MAY JUNE JULY AUG. SEPT. OCT. NOV. DEC.

Day Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr Wk Yr

1 Tu. 1 F. 32 F. 60 M. 91 W. 121 Sa. 152 M. 182 Th. 213 Su. 244 Tu. 274 F. 305 Su. 335

2 W. 2 Sa. 33 Sa. 61 Tu. 92 Th. 122 Su. 153 Tu. 183 F. 214 M. 245 W. 275 Sa. 306 M. 336

3 Th. 3 Su. 34 Su. 62 W. 93 F. 123 M. 154 W. 184 Sa. 215 Tu. 246 Th. 276 Su. 307 Tu. 337

4 F. 4 M. 35 M. 63 Th. 94 Sa. 124 Tu. 155 Th. 185 Su. 216 W. 247 F. 277 M. 308 W. 338

5 Sa. 5 Tu. 36 Tu. 64 F. 95 Su. 125 W. 156 F. 186 M. 217 Th. 248 Sa. 278 Tu. 309 Th. 339

6 Su. 6 W. 37 W. 65 Sa. 96 M. 126 Th. 157 Sa. 187 Tu. 218 F. 249 Su. 279 W. 310 F. 340

7 M. 7 Th. 38 Th. 66 Su. 97 Tu. 127 F. 158 Su. 188 W. 219 Sa. 250 M. 280 Th. 311 Sa. 341






















29 Tu. 29 F. 88 M. 119 W. 149 Sa. 180 M. 210 Th. 241 Su. 272 Tu. 302 F. 333 Su. 363

30 W. 30 Sa. 89 Tu. 120 Th. 150 Su. 181 Tu. 211 F. 242 M. 273 W. 303 Sa. 334 M. 364

31 Th. 31 Su. 90 F. 151 W. 212 Sa. 243 Th. 304 Tu. 365



EXPLANATION 3

AIM AND PRINCIPLE

1. Object. The object of The UK Air Almanac is to provide in a convenient formastronomical data required for the planning of activities, in particular aircraft movements,where the amount of daylight, the duration of twilight, and the position and phase of theMoon are important.

2. Layout. This annual volume contains tabular data for the rising and setting of theSun and Moon and times of civil twilight, for latitudes N 72◦ to S 60◦. The times of thephenomena are given to the nearest minute which is sufficient for most purposes. For thepolar regions this information is presented graphically. Tables and graphs for determiningcorrections to the times of these phenomena due to the height of the observer are alsogiven. A brief explanation of the use of this volume is included.

RISINGS, SETTINGS AND TWILIGHT

3. General. The tables give the UT times of the phenomena at suitable intervals oflatitude, for the Greenwich meridian; times for other dates and locations may be obtainedby interpolation. At rising and setting, the times given are those at which the upper limbof the body is coincident with the horizon; corrections have been made for semidiameter,parallax (ignored for the Sun) and atmospheric refraction (34′). At civil twilight the Sunis 6◦ below the horizon.

In high latitudes the Sun or Moon may be above or below the horizon all day, orcivil twilight may last all night. The following symbols indicate the occurrence of theseconditions:

Sun or Moon remains continuously above the horizon;

Sun or Moon remains continuously below the horizon;//// Twilight lasts all night; i.e., the Sun is less than 6◦ below the horizon at midnight, and

it is always lighter than at the beginning of morning or end of evening civil twilight.

For polar regions times of rise, set and twilight may be obtained from the semidurationgraphs pages 69 and 70-72.

4. Sunrise, Sunset, Twilight. The UT times of the sunrise and sunset , and the beginningand end of civil twilight, for latitudes N72◦ to S60◦, for the Greenwich meridian, aretabulated on pages 10-25, at an interval of three days. The UT of these phenomena,they may be taken, without significant error, to be the Local Mean Time (LMT) of thephenomena for any other meridian, since UT = LMT at Greenwich. To obtain the UT ofa phenomenon at a particular place, the longitude must be converted to time (by meansof the table on page 78 or otherwise) and applied (east −, west +) to the LMT thus:

UT = LMT − east (+west) longitudeUsually it will be sufficiently accurate to use the times given for the nearest tabular date,or, to find the following or preceding phenomenon it is sufficiently accurate to add orsubtract 24h, changing the Greenwich date by one day.

Examples. The UT of beginning of morning twilight and sunrise for longitude E 135◦ 39′,and of sunset and end of evening twilight for longitude W115◦ 13′, are required in latitudeN 33◦ 20′ on 1998 January 1.

Twilight Sunrise Sunset TwilightPage 4, nearest date Jan. 2 h m h m h m h mLatitude N 33◦ 20′ 06 37 07 04 17 04 17 31Longitude (page 78) E 135◦ 39′ −9 03 −9 03 W115◦ 13′ +7 41 +7 41

21 34 22 01 00 45 01 12



EXPLANATION4

Extracts from The UK Air Almanac,1998, for use with the examples givenin the Explanation.

PageSunrise and Sunset 10

Civil twilight 11

Moonrise and moonset 26

Sunlight and twilight 69

Semiduration of moonlight 70

Dec. JanuaryLat.30 2 5

Sunrise

◦ h m h m h mN 40 07 22 07 22 07 22

35 07 08 07 08 07 0930 06 55 06 56 06 57

N 20 06 34 06 35 06 36

Sunset

N 40 16 44 16 46 16 4935 16 58 17 00 17 0230 17 10 12 14

N 20 17 31 17 33 17 35

Dec. JanuaryLat.30 2 5

Morning Civil Twilight

◦ h m h m h mN 40 06 51 06 52 06 52

35 39 40 4130 29 30 30

N 20 06 10 06 11 06 12

Evening Civil Twilight

N 40 17 14 17 17 17 1935 26 28 3030 36 38 40

N 20 17 55 17 57 17 58

JanuaryLat.1

Moonrise

◦ h m mN 56 09 54+ 17N 54 09 48 18· · ·S 10 08 14+ 29S 20 08 02 30

Moonset

N 56 19 29+ 39N 54 19 35 38· · ·S 10 21 00+ 26S 20 21 09 24

1JANUARY

16 1FEBRUARY

16 1MARCH

16 1APRIL

16 1MAY

16 1JUNE

16 1JULY

oN70 N70

o

oN75 N75

o

oN80 N80

o

oN85 N85

o

0h2h 4h 6h 8h 10h

12h

SEMIDURATION OF SUNLIGHT

SUN BELOW

HORIZON

SUN ABOVE

HORIZON

12:05 12:10 12:1412:14 12:10 12:05 12:00 11:5711:57 12:00

1JANUARY

16 1FEBRUARY

16 1MARCH

16 1APRIL

16 1MAY

16 1JUNE

16 1JULY

oN70 N70

o

oN75 N75

o

oN80 N80

o

oN85 N85

o

DURATION OF TWILIGHTNO TWILIGHT

CONTINUOUS TWILIGHT

OR SUNLIGHT

OR SUNLIGHT

0h

50m

1h

1 20h m

2h

3h

6h

4h

1h

2h

2 48h m

8h

3h

JANUARY 5 10 15 20 25 30

oN70 N70

o

oN75 N75

o

oN80 N80

o

oN85 N85

o

0h 0h

2h 2h4h 4h 4h6h 6h8h 8h10h 10h

12h 12h

6h 12h18h 0h

MOON BELOW

HORIZON

MOON ABOVE

HORIZON

SEMIDURATION OF MOONLIGHT



EXPLANATION 5

The degree of illumination at the beginning of morning and end of evening civil twilight(in good conditions and in the absence of other illumination) is such that the brighteststars are just visible, and terrestrial objects can be easily distinguished.

Civil twilight begins and ends when the Sun is 6◦ below the horizon; this is an arbitrarycondition, and other depressions of the Sun consistent with the degrees of illuminationrequired should be used for planning purposes. Different levels of illumination can bedefined to correspond to other depressions and, in particular, nautical twilight begins andends when the Sun is 12◦ below the horizon. The degree of illumination at the beginningand end of nautical twilight (in good conditions and in the absence of other illumination)is such that general outlines of ground objects are visible, although the horizon is probablyindistinct, all detailed operations have become impossible and all the navigational starscan be seen.

The graphs on pages 62-66 enable the times to be found for any twilight whichcorresponds to a depression of the Sun of less than 12◦.

5. Moonrise and Moonset. The UT times of moonrise and moonset for latitudes N72◦to S60◦, for the Greenwich meridian, are tabulated daily on pages 26-61.

Since the interval between successive moonrises or moonsets varies (and is generallygreater than 24h), times of rise or set must be interpolated from their tabular values on themeridian of Greenwich to the meridian of the observer. Interpolation from UT to LMTmay be accomplished by using the half-daily differences (“Diff.”) tabulated in the shadedcolumn, and the table “Interpolation of Moonrise, Moonset for Longitude”, printed onpage 79. The table is entered with Diff. and longitude, and the reduction to LMT, selectedwithout interpolation, is applied to the tabular UT with the same sign as the Diff. forwest longitudes and with the opposite sign for east longitudes. This interpolation cannotbe made in extreme conditions, when a symbol (*) is given in the shaded column.

It may happen that an interpolated time so found is for the day before or after thatrequired, in which case the time on the date required can be determined by adding, orsubtracting, twice the Diff. and advancing, or decreasing, the date by a day. Each monththere will be one day (near last quarter) on which there is no moonrise, and another(near first quarter) on which there is no moonset; when this happens for the Greenwichmeridian, the time of the next phenomenon is listed twice, the first time with a valuegreater than 24h to indicate that the phenomenon occurs on the following day. This isdone to provide a starting point for the calculation of the times of the phenomena inother longitudes.

Examples . The UT of moonrise and moonset are required for (i) latitude N 55◦ 00′,longitude E 173◦ 37′ and (ii) latitude S 15◦ 10′, longitude W53◦ 37′, on 1998 January 1.

(i) Moonrise (i) Moonset (ii) Moonrise (ii) Moonset1998 Jan. 1 (page 4) d h m m d h m m d h m m d h m mLatitude N 55◦ 00′ Jan. 1 09 51 18 Jan. 1 19 32 39 S 15◦ 10′ Jan. 1 08 08 30 Jan. 1 21 05 25Table (page 79) E 173◦ 37′ − 20 − 40 W53◦ 37′ + 10 + 08LMT Jan. 1 09 31 Jan. 1 18 52 Jan. 1 08 18 Jan. 1 21 13Long. (page 78) E 173◦ 37′ − 11 34 − 11 34 W53◦ 37′ + 3 34 + 3 34UT Dec.31 21 57 Jan. 1 07 18 Jan. 1 11 52 Jan. 2 00 47Twice Diff. + 36 − 50UT + or − 1 day Jan. 1 22 33 Dec.31 23 57

The example (ii) Moonset shows that no moonset occurs in this position on January 1.

6. Sunlight and Moonlight Graphs. The graphs on pages 69 and 70-72 give dataconcerning the rising and setting of the Sun and Moon and the duration of twilight forhigh latitudes. Graphs are given instead of tables for high latitudes because they give aclearer picture of the phenomena and of the attainable accuracy in any given case. In



EXPLANATION6

the regions of the graph that are difficult to read accurately, the phenomenon itself isgenerally uncertain.

The graph Semiduration of Sunlight gives for latitudes north of N 65◦ the number ofhours from sunrise to meridian passage or from meridian passage to sunset. There iscontinuous daylight in an area marked “Sun above horizon”, and no direct sunlight in anarea marked “Sun below horizon”. The figures near the top indicate, for several convenientdates, the local mean times of meridian passage; with the aid of the intermediate dotsthe LMT on any given day may be obtained to the nearest minute. The LMT of sunrisemay be found by subtracting the semiduration from the time of meridian passage, andthe time of sunset by adding.

Examples. On March 10 in latitude N 78◦ the semiduration of sunlight (page 4) is about5h 00m. The time of meridian passage is 12h 10m, and hence the LMT of sunrise is 07h 10m,and of sunset 17h 10m. In latitude N 80◦ the Sun is continuously below the horizon untilabout February 20, and is continuously above the horizon after April 15.

The graph Duration of Twilight gives the interval from the beginning of morning civiltwilight (Sun 6◦ below the horizon) to the time of sunrise or from the time of sunset tothe end of evening civil twilight. In a region marked “No twilight or sunlight” the Sunis continuously below the horizon by more than 6◦. In a region marked “Continuoustwilight or sunlight” the Sun never goes lower than 6◦ below the horizon.

Adjacent to a region marked “No twilight or sunlight” is a region in which the Sun iscontinuously below the horizon, but so near to the horizon during a portion of the daythat there is twilight. This area is denoted by the shaded region in the example given onpage 4. The value given by the graph in this region is the interval from the beginning ofmorning twilight to meridian passage of the Sun, or from meridian passage to the end ofevening twilight, the total duration of twilight being twice the value given by the graph.

Examples . On March 10 in latitude N 78◦ the graph indicates the duration of twilight(page 4) as about 1h 45m. Applying this to the time of sunrise, 07h 10m, found in thepreceding example, the beginning of morning twilight is 05h 25m LMT. In latitude N 80◦there is no sunlight or twilight till about February 6, there is twilight but no sunlight fromFebruary 6 until February 20, sunlight and twilight till March 31, continuous twilight orsunlight till April 15, and then continuous sunlight. In latitude N 80◦ on February 14twilight begins at about 09h and ends at about 15h LMT.

The graphs Semiduration of Moonlight give for the Moon the same data as the graphSemiduration of Sunlight gives for the Sun. The scale near the top gives the LMT ofmeridian passage. In addition, the phase symbols are placed on the graphs to show theday on which each phase occurs. Since the times of meridian passage and the semidurationchange more rapidly from day to day for the Moon than for the Sun, special care will berequired in reading the graphs accurately.

For most purposes in these high latitudes a rough idea of the time of moonrise ormoonset is all that is required and this may be obtained by a glance at the graph.

Example. On 1998 January 21, the phase is found from page 4 to be near last quarter,and the Moon crosses the meridian at 06h LMT. In latitude N 74◦ the semiduration ofmoonlight taken for the time of meridian passage is 4 hours, giving moonrise at 02h LMTon January 21 and moonset at 10h on January 21.

If greater accuracy is required it is necessary to read the graph for the UT of eachphenomenon at the desired meridian. The dates indicated on the graph are for 00h UT,and intermediate values of the UT may be located by estimation.



EXPLANATION 7

Example. It is required to improve the results obtained in the preceding example,assuming the observer to be in longitude W90◦ (6h) west.

The values found previously were:d h d h

Time of meridian passage 1998 Jan. 21 06 LMT = Jan. 21 12 UTSemiduration of moonlight 04Time of moonrise Jan. 21 02 LMT = Jan. 21 08 UTTime of moonset Jan. 21 10 LMT = Jan. 21 16 UT

Returning to the graph (page 4) with these three values of the UT, the following resultsare obtained:

d h m d h m

Time of meridian passage 1998 Jan. 21 06 10 LMT = Jan. 21 12 10 UTSemiduration for moonrise 03 30Time of moonrise Jan. 21 02 40 LMT = Jan. 21 08 40 UTSemiduration for moonset 03 00Time of moonset Jan. 23 09 10 LMT = Jan. 21 15 10 UT

7. Corrections for Height of Observer. The times of sunrise, sunset and twilight givenon pages 10-25 are for an observer on the ground (at sea level). The correspondingtimes for an observer above the ground will be earlier for morning and later for eveningphenomena. The graphs on pages 62-66 and Tables 2 and 3 on pages 67 and 68 enablethese times to be found for heights up to 60 000 feet.

For a series of latitudes the graphs give the hour angle (HA) of the Sun when itreaches a particular depression; an auxiliary diagram on each page provides a correctionto the depression to allow for the difference between the latitude of the observer and thatof the diagram. The HA is determined by the intersection of the curve correspondingto declination with the level of depression, corrected, if necessary, for the differenceof latitude; the time of reaching this depression is then obtained by applying the HA(subtract for rising, add for setting) to the time of meridian passage (Mer. Pass.). Table 1on pages 67 and 68 gives the LMT of the Sun’s Mer. Pass., together with the Sun’s Dec.at 12h UT on each day.

When the declination curve is completely above the depression required, it is “light”all night; when the declination curve is completely below the depression required, it is“dark” all day.

At a particular height above ground level the Sun will rise or set when, referred to theground point vertically below, it reaches a particular depression below the horizon. Table2 on pages 67 and 68 gives the depression of the Sun at rising or setting as seen fromvarious heights. Owing to the corrections for refraction and semidiameter, the depressionat rising and setting for an observer on the ground (at sea level) is 0◦.8.

The duration of twilight (i.e., the time between sunset and a particular level of illu-mination) will rapidly diminish as the height increases. It is difficult, however, to givenumerical values to the depressions corresponding to illuminations at various heightsassociated with particular twilights at ground level, owing both to limitations of physicaltheory and to the variety of practical applications. A particular level of illuminationwill, however, always be associated at a particular height with a particular value of thedepression; once the user has determined, from experience, the depression correspondingto the height and the conditions of illumination he requires, the times can be found fromthe graphs in the same way as for rising and setting.

The graphs are used as follows:

(a) From Table 1 on pages 67 and 68 take out the Mer. Pass. and Dec. of the Sun forthe day concerned.



EXPLANATION8

(b) Decide on the value of the depression d to be used, from Table 2 on pages 67 and68 for sunrise or sunset, or from experience (Table 3 or other tables) for “twilight”conditions.

(c) Using the graph for the nearest latitude, determine the hour angle corresponding tothe declination of the Sun (from step (a)) and to the depression d (from step (b)).Except in high latitudes and in extreme conditions this hour angle will be within about10m of that for the actual latitude.

(d) Subtract the hour angle obtained in step (c) from the time of Mer. Pass. obtainedfrom step (a) to give the time of rising, and add to give the time of setting.

In high latitudes, extreme conditions, and for greater accuracy , a further step (c′) isrequired; this is necessary because, in such conditions, a small change of latitude maycorrespond to a large change of hour angle. In fact, a change of 1◦ in latitude maymake a change of 11

2hours in time, or make the difference between the phenomenon

taking place or not.

(c′) From the small auxiliary graph, on each page of graphs, find the correction Δd witharguments difference of latitude (i.e., the actual latitude minus that of the graph used)and hour angle as found in step (c); apply the correction Δd to the depression d togive the corrected depression. With this corrected depression re-enter the graph anddetermine the corrected hour angle corresponding to the same declination (from step(a)).

For latitudes up to 42◦ the maximum error caused by the complete neglect ofinterpolation for latitude is 12m, but this is increased to 15m for latitudes up to 52◦.

It will be seen that Δd is small for hour angles near 6h and, moreover, for suchhour angles a change in depression corresponds to only a small change in hour angle.Corrections can be ignored for hour angles from 4h and 8h , giving rise to a maximumerror of 8m. For hour angles between 0h and 4h and between 8h and 12h, it suffices to takeΔd as numerically equal to the change of latitude — of opposite sign near 0h and of thesame sign near 12h. If this simplification is adopted, the maximum errors that can occurat various hour angles, for a change of latitude of 1◦, are given in the following table.

Hour angle (hours) 0 2 4 8 10 12Maximum error (minutes) 0 3 7 7 3 0

If errors of up to 10m cannot be accepted, the simplest method, for all except extremecases, is to determine values of the hour angle for the next larger and next smaller latitudeand interpolate between them; in extreme cases, i.e., for hour angle near 0h and 12h, theonly accurate method is to modify the depressions as indicated above.

Thus, if accurate times are required, one of the following procedures should be adopted:

1. Use steps (a), (b), (c), (c′) and (d).or 2. Use the graphs for the two adjacent latitudes and interpolate to the required

latitude, for all except extreme cases.

or 3. Use the alternative method as given on page 67.

If only approximate times are required, one of the following may be used:

4. For all latitudes, when the hour angles are between 0h and 4h or between 8h and12h , use Δd equal to the difference in latitude between the actual latitude and thelatitude of the graph, of opposite sign near 0h and of the same sign near 12h; forhour angles between 4h and 8h neglect Δd. The maximum error is about 8m.

or 5. For latitudes less than 40◦, neglect Δd for all hour angles. The maximum error isabout 12m.



EXPLANATION 9

Example 1. To find the times of sunrise, sunset and beginning and end of civil twilighton 2013 February 9 in latitude N 33◦ 20′, at sea level and also at a height of 40 000 feet.From page 67 Table 1 the Sun’s meridian passage is 12h 14m, and declination S 14◦.5; fromTable 2 the depression for sunrise or sunset is 0◦.8 at sea level and 4◦.7 at 40 000 ft. Thedepression for the beginning or end of civil twilight (Table 3) is 6◦.0 at sea level and 7◦.2at 40 000 ft.

From the graph for latitude 35◦ (page 66), with declination 14◦.4 (contrary) we obtainMorning Evening

Depression HA Mer. Pass. LMT LMT◦ h m h m h m h m

0·8 05 22 12 14 06 52 17 364·7 05 42 12 14 06 32 17 566·0 05 49 12 14 06 25 18 037·2 05 56 12 14 06 18 18 10

Example 2. To find the time of sunset on 2013 April 18 in latitude N 65◦ 17′, longitudeW35◦ 15′, at a height of 37 000 ft.

From page 67 Table 1 the Sun’s meridian passage is 11h 59m and declination N 11◦.0;from Table 2 the depression corresponding to 37 000 ft. is 4◦.5.

The nearest graph is for latitude 66◦; with declination (same) the HA is greater than 6h sothat the difference in latitude (65◦.3 − 66◦ = −0◦.7) applied to the depression is 4◦.5−0◦.7 =3◦.8. Using declination 11◦.0 (same) and depression 3◦.8, the hour angle is 08h 28m; thereforethe UT of sunset is 11h 59m (Mer. Pass.) + 08h 28m (HA) + 2h 21m (W long.) = 22h 48m.

If the auxiliary graph is used, the value of Δd (for a difference of latitude of −0◦.7 andan HA of 8·5 hours) is −0◦.5, so that the corrected depression is 4◦.5 − 0◦.5 = 4◦.0; thecorresponding HA is 08h 31m, giving UT of sunset = 22h 51m.

8. Percentage of the Moon Illuminated. This table (page 73) is included for planningpurposes. The two quantities given for each date are for 06h and 18h UT. Full Moonis represented by 100, first and last quarter by 50, and New Moon by 0. Availablemoonlight illumination at a specific geographic location depends critically upon thepercentage illuminated, the altitude of the Moon above the horizon and, additionally,local meteorological conditions.

9. Standard Times. These lists (pages 74-77) give the standard times adopted in mostplaces. Frequent changes, especially in the incidence of summer time, occur at shortnotice.

10. Conversion of Arc to Time. This table (page 78) is for converting expressions in arcto their equivalent in time; its main use in this Almanac is for the conversion of longitudefor application to LMT (added if west , subtracted if east) to give UT or vice versa.

11. Interpolation of Moonrise and Moonset. This table (page 79) is for interpolationof the times of moonrise and moonset from the Greenwich meridian to the observersmeridian. The table is entered with Diff. and longitude, and the reduction to LMT,selected without interpolation, is applied to the tabular UT with the same sign as the Diff.for west longitudes and with the opposite sign for east longitudes.



10 SUNRISE, 2013

Dec. January FebruaryLat.30 2 5 8 11 14 17 20 23 26 29 1 4 7 10 13 16

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN 72 11 34 10 53 10 26 10 02 09 42 09 23 09 04 08 47

70 11 38 11 03 10 39 10 19 10 01 09 44 09 28 09 13 08 57 08 43 2868 11 27 11 08 10 52 10 37 10 23 10 09 09 56 09 42 09 29 09 17 09 04 08 51 38 26 1366 10 30 10 26 10 19 10 12 10 04 09 55 09 46 09 37 27 09 17 09 06 08 56 08 45 34 23 12 08 0164 09 51 09 48 09 44 09 39 09 34 27 20 09 13 09 05 08 57 08 48 39 30 20 11 08 01 07 5162 24 22 09 19 09 16 09 11 09 06 09 00 08 54 08 48 40 33 25 17 08 09 08 00 07 51 42

N 60 09 03 09 02 08 59 08 57 08 53 08 49 08 44 08 39 08 33 08 27 08 20 08 13 08 06 07 59 07 51 07 43 07 3558 08 46 08 45 43 41 38 34 30 26 21 15 10 08 03 07 57 50 43 36 2856 32 31 30 28 25 22 19 15 10 08 05 08 00 07 55 49 43 36 30 2354 19 19 18 16 14 11 08 08 08 05 08 01 07 56 07 52 47 41 36 30 24 1852 08 08 08 08 08 07 08 06 08 04 08 02 07 59 07 56 07 52 49 44 40 35 30 24 19 13

N 50 07 59 07 58 07 58 07 57 07 55 07 53 07 51 07 48 07 45 07 41 07 38 07 33 07 29 07 24 07 19 07 14 07 0945 38 38 38 38 37 35 33 31 29 26 23 20 16 12 07 08 07 04 06 5940 22 22 22 22 21 20 19 18 16 14 11 07 08 07 05 07 02 06 59 06 55 5235 07 08 07 08 07 09 07 09 07 08 07 08 07 07 07 06 07 04 07 03 07 01 06 59 06 56 06 54 51 48 4530 06 55 06 56 06 57 06 57 06 57 06 57 06 56 06 56 06 55 06 53 06 52 50 48 46 44 42 39

N 20 06 34 06 36 06 36 06 37 06 37 06 38 06 38 06 38 06 37 06 37 06 36 06 35 06 34 06 33 06 32 06 30 06 29N 10 06 16 17 19 20 20 21 22 22 22 23 23 22 22 22 21 20 19

0 05 59 06 00 06 02 06 03 06 04 06 05 06 07 06 07 06 08 06 09 06 10 06 10 06 10 11 11 11 11S 10 42 05 43 05 45 05 46 05 48 05 50 05 51 05 53 05 54 05 55 05 57 05 58 05 59 06 00 06 00 06 01 06 02

20 23 25 27 29 31 33 35 37 39 41 42 44 46 05 48 05 49 05 51 05 52

S 30 05 01 05 03 05 05 05 08 05 10 05 13 05 15 05 18 05 21 05 23 05 26 05 29 05 31 05 34 05 36 05 39 05 4135 04 48 04 51 04 53 04 56 04 58 05 01 05 04 05 07 05 10 13 16 20 23 26 29 32 3540 33 36 39 41 45 04 48 04 51 04 55 04 58 05 02 05 05 05 09 13 17 20 24 2745 04 16 04 18 21 25 28 32 36 40 44 04 48 04 53 04 57 05 01 05 06 05 10 15 1950 03 53 03 56 04 00 04 04 04 08 12 17 21 26 31 37 42 04 47 04 53 04 58 05 03 08

S 52 03 43 03 46 03 50 03 54 03 58 04 03 04 08 04 13 04 18 04 24 04 29 04 35 04 41 04 46 04 52 04 58 05 0454 31 34 38 42 47 03 52 03 57 04 03 04 09 15 21 27 33 40 46 52 04 5856 17 20 25 29 34 40 46 03 52 03 58 04 05 11 18 25 32 39 46 5258 03 00 03 04 03 09 03 14 20 26 32 39 46 03 53 04 01 04 08 16 23 31 38 46

S 60 02 40 02 45 02 50 02 56 03 02 03 09 03 17 03 24 03 32 03 40 03 48 03 57 04 05 04 13 04 22 04 30 04 38

SUNSET, 2013


◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN 72 12 52 13 34 14 03 14 27 14 48 15 07 15 26 15 43

70 12 43 13 20 13 45 14 07 14 26 14 44 15 01 15 17 32 15 47 16 0268 12 44 13 06 13 25 13 42 13 58 14 14 14 29 14 44 14 58 15 12 25 38 15 51 16 04 1666 13 35 13 43 13 52 14 02 14 13 14 24 14 35 14 46 14 58 15 10 15 21 33 44 15 55 16 06 17 2864 14 15 14 20 14 27 35 14 43 14 51 15 01 15 10 15 20 29 39 15 49 15 59 16 09 19 29 3862 14 42 14 47 14 52 14 58 15 05 15 13 21 29 37 46 15 54 16 03 16 12 21 29 38 47

N 60 15 03 15 07 15 12 15 17 15 23 15 30 15 37 15 44 15 51 15 59 16 07 16 15 16 22 16 30 16 38 16 46 16 5458 20 24 28 33 38 44 15 50 15 57 16 04 16 10 17 25 32 39 46 16 53 17 0156 34 38 42 46 15 51 15 57 16 02 16 08 14 20 27 33 40 47 53 17 00 0654 46 15 50 15 54 15 58 16 02 16 07 13 18 24 29 35 41 47 53 16 59 05 1152 15 57 16 01 16 04 16 08 12 17 22 27 32 37 43 48 16 54 16 59 17 05 10 16

N 50 16 07 16 10 16 13 16 17 16 21 16 25 16 30 16 35 16 39 16 44 16 49 16 54 17 00 17 05 17 10 17 15 17 2045 27 30 33 36 40 43 16 47 16 51 16 55 16 59 17 04 17 08 12 17 21 25 2940 44 16 46 16 49 16 52 16 55 16 58 17 02 17 05 17 08 17 12 16 19 23 26 30 34 3735 16 58 17 00 17 03 17 05 17 08 17 11 14 17 20 23 26 29 32 35 38 41 4430 17 10 12 14 17 19 22 24 27 30 32 35 37 40 42 45 47 17 50

N 20 17 31 17 33 17 35 17 37 17 39 17 41 17 43 17 45 17 46 17 48 17 50 17 52 17 54 17 55 17 57 17 58 18 00N 10 17 49 17 51 17 52 17 54 17 56 17 57 17 59 18 00 18 01 18 03 18 04 18 05 18 06 18 07 18 08 18 08 09

0 18 06 18 08 18 09 18 10 18 12 18 13 18 14 15 15 16 17 17 17 18 18 18 17S 10 24 25 26 27 28 29 29 29 30 30 30 29 29 29 28 27 26

20 18 42 18 43 18 44 18 45 18 45 18 46 18 46 18 45 18 45 18 44 18 44 43 42 40 39 37 36

S 30 19 04 19 05 19 05 19 06 19 05 19 05 19 05 19 04 19 03 19 01 19 00 18 58 18 56 18 54 18 52 18 49 18 4635 17 18 18 18 17 17 16 15 13 11 09 19 07 19 05 19 02 18 59 18 56 18 5340 32 32 32 32 31 30 29 27 25 23 20 17 14 11 19 07 19 04 19 0045 19 50 19 50 19 49 19 49 19 47 19 46 19 44 19 42 39 36 33 29 26 22 17 13 0850 20 12 20 11 20 11 20 09 20 08 20 05 20 03 20 00 19 56 19 53 49 44 40 35 30 24 19

S 52 20 22 20 22 20 21 20 19 20 17 20 15 20 12 20 08 20 05 20 01 19 56 19 51 19 46 19 41 19 35 19 29 19 2354 34 34 32 31 28 25 22 18 14 09 20 04 19 59 19 53 47 41 35 2956 20 48 20 47 20 46 43 41 37 33 29 24 19 13 20 08 20 01 19 55 48 41 3458 21 05 21 03 21 01 20 58 20 55 20 51 20 47 41 36 30 24 17 11 20 03 19 56 49 41

S 60 21 24 21 22 21 20 21 16 21 12 21 07 21 02 20 56 20 50 20 43 20 36 20 29 20 21 20 13 20 05 19 57 19 48



11MORNING CIVIL TWILIGHT, 2013


◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN 72 10 47 10 39 10 29 10 18 10 07 09 55 09 42 09 30 09 17 09 04 08 51 08 38 08 24 08 11 07 57 07 43 07 29

70 09 52 09 48 09 42 09 36 09 28 09 20 09 11 09 02 08 52 08 41 30 19 08 08 07 56 44 32 2068 09 18 09 16 09 12 09 07 09 02 08 55 08 48 08 40 32 23 14 08 05 07 55 44 34 23 1266 08 54 08 52 08 49 08 46 08 41 36 30 23 16 08 09 08 01 07 53 44 35 25 16 0664 35 33 31 28 25 20 15 08 10 08 04 07 57 07 50 42 35 27 18 09 07 0062 19 18 16 14 08 11 08 07 08 03 07 58 07 53 47 40 34 27 19 12 07 04 06 56

N 60 08 06 08 05 08 04 08 02 07 59 07 56 07 52 07 48 07 43 07 38 07 32 07 26 07 20 07 13 07 06 06 59 06 5158 07 55 07 54 07 53 07 51 49 46 43 39 35 30 25 20 14 08 07 01 54 4856 45 44 43 42 40 37 35 31 27 23 18 13 08 07 03 06 57 50 4454 36 35 35 33 32 30 27 24 21 17 13 08 07 03 06 58 53 47 4152 28 27 27 26 25 23 20 18 15 11 07 07 03 06 59 54 49 44 38

N 50 07 20 07 20 07 20 07 19 07 18 07 16 07 14 07 12 07 09 07 06 07 02 06 59 06 54 06 50 06 45 06 40 06 3545 07 04 07 05 07 05 07 04 07 03 07 02 07 01 06 59 06 57 06 54 06 52 48 45 41 38 33 2940 06 51 06 52 06 52 06 52 06 51 06 51 06 50 48 46 45 42 40 37 34 31 27 2435 40 40 41 41 41 40 40 39 37 36 34 32 30 28 25 22 1930 29 30 31 31 31 31 31 30 29 28 27 25 23 21 19 17 14

N 20 06 11 06 12 06 12 06 13 06 14 06 14 06 14 06 14 06 14 06 14 06 13 06 12 06 12 06 10 06 09 06 08 06 06N 10 05 53 05 55 05 56 05 57 05 58 05 59 05 59 06 00 06 00 06 00 06 01 06 00 06 00 06 00 05 59 05 59 05 58

0 36 38 39 41 42 43 44 05 45 05 46 05 47 05 48 05 48 05 49 05 49 49 50 49S 10 05 19 20 22 24 25 27 29 30 32 33 34 36 37 38 39 40 40

20 04 58 05 00 05 02 05 04 05 06 05 09 05 11 05 13 05 15 05 17 19 21 23 25 26 28 30

S 30 04 34 04 36 04 38 04 41 04 43 04 46 04 49 04 52 04 54 04 57 05 00 05 03 05 06 05 08 05 11 05 14 05 1635 19 21 24 26 29 32 35 39 42 45 04 49 04 52 04 55 04 59 05 02 05 05 05 0840 04 01 04 03 04 06 04 09 04 13 04 16 20 23 27 31 35 39 43 47 04 51 04 55 04 5945 03 38 03 41 03 45 03 48 03 52 03 56 04 00 04 05 04 09 04 14 04 19 24 28 33 38 43 4750 03 09 03 13 16 21 25 30 03 35 03 41 03 46 03 52 03 58 04 04 10 16 22 27 33

S 52 02 54 02 58 03 02 03 07 03 12 03 17 03 23 03 29 03 35 03 42 03 48 03 54 04 01 04 07 04 14 04 20 04 2654 37 41 02 45 02 51 02 56 03 02 03 09 16 22 29 36 44 03 51 03 58 04 05 12 1956 02 15 02 20 02 25 31 38 02 45 02 52 03 00 03 07 03 15 23 31 39 47 03 55 04 03 1058 01 47 01 52 01 59 02 06 02 14 02 22 31 02 40 02 49 02 58 03 07 03 17 26 34 43 03 52 04 00

S 60 01 01 01 10 01 20 01 30 01 41 01 53 02 04 02 15 02 26 02 37 02 48 02 59 03 09 03 20 03 30 03 39 03 49

EVENING CIVIL TWILIGHT, 2013



70 14 14 14 21 14 29 14 38 14 48 14 59 15 10 15 22 33 15 45 15 57 16 09 21 34 46 16 58 1068 14 47 14 53 15 00 15 07 15 15 15 24 33 15 43 15 53 16 03 16 13 24 34 45 16 56 17 07 1766 15 12 15 17 22 29 36 43 15 51 16 00 16 08 17 26 36 45 16 55 17 04 14 2464 31 35 40 15 46 15 52 15 59 16 06 13 21 29 37 46 16 54 17 03 11 20 2962 15 46 15 50 15 55 16 00 16 06 16 12 18 25 32 39 47 16 54 17 02 10 18 26 34

N 60 16 00 16 03 16 08 16 12 16 17 16 23 16 29 16 35 16 41 16 48 16 55 17 02 17 09 17 16 17 23 17 31 17 3858 11 15 18 23 28 33 38 44 50 16 56 17 02 09 15 22 28 35 4256 21 24 28 32 37 41 46 52 16 57 17 03 09 14 20 27 33 39 4554 30 33 37 40 45 49 16 54 16 59 17 04 09 14 20 25 31 37 42 4852 38 41 44 48 52 16 56 17 00 17 05 10 15 20 25 30 35 40 46 51

N 50 16 45 16 48 16 51 16 55 16 58 17 02 17 07 17 11 17 15 17 20 17 25 17 29 17 34 17 39 17 44 17 49 17 5445 17 01 17 04 17 07 17 10 17 13 16 20 24 27 31 35 39 43 47 51 17 56 18 0040 14 17 19 22 25 28 31 34 38 41 44 48 51 17 55 17 58 18 01 0535 26 28 31 33 36 38 41 44 47 50 17 53 17 55 17 58 18 01 18 04 07 1030 36 38 41 17 43 17 45 17 48 17 50 17 53 17 55 17 57 18 00 18 02 18 05 07 09 12 14

N 20 17 55 17 57 17 59 18 00 18 02 18 04 18 06 18 08 18 10 18 12 18 13 18 15 18 17 18 18 18 20 18 21 18 22N 10 18 12 18 14 18 15 17 18 20 21 22 24 25 26 27 28 28 29 30 30

0 29 30 32 33 34 35 36 37 37 38 38 39 39 39 39 39 39S 10 18 47 18 48 18 49 18 50 18 51 18 51 18 52 18 52 18 52 18 52 18 52 18 51 18 51 18 50 18 50 18 49 48

20 19 07 19 08 19 09 19 09 19 09 19 10 19 09 19 09 19 09 19 08 19 07 19 06 19 05 19 03 19 02 19 00 18 58

S 30 19 32 19 32 19 33 19 33 19 32 19 32 19 31 19 30 19 29 19 27 19 26 19 24 19 22 19 19 19 17 19 14 19 1135 19 47 19 47 19 47 19 47 19 46 19 46 19 44 43 41 39 37 35 32 29 26 23 1940 20 05 20 05 20 04 20 04 20 03 20 02 20 00 19 58 19 56 19 53 19 50 19 47 44 40 37 33 2845 27 27 26 25 23 22 19 20 17 20 14 20 10 20 07 20 03 19 58 19 54 19 49 19 45 4050 20 56 20 55 20 54 20 52 20 50 20 47 44 40 36 32 27 22 20 17 20 11 20 06 20 00 19 54

S 52 21 11 21 10 21 08 21 06 21 03 21 00 20 56 20 52 20 47 20 42 20 37 20 31 20 26 20 19 20 13 20 07 20 0054 28 27 25 22 18 15 21 10 21 05 21 00 20 54 20 48 42 35 29 22 15 0856 21 49 21 47 21 45 21 41 21 37 32 27 21 15 21 08 21 01 20 54 20 47 39 32 24 1658 22 18 22 15 22 11 22 06 22 00 21 54 21 47 21 40 32 25 17 21 09 21 00 20 52 43 34 26

S 60 23 03 22 56 22 49 22 40 22 32 22 23 22 14 22 04 21 55 21 45 21 35 21 26 21 16 21 06 20 56 20 47 20 37



12 SUNRISE, 2013

February March AprilLat.16 19 22 25 28 3 6 9 12 15 18 21 24 27 30 2

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN72 08 47 08 30 08 13 07 57 07 41 07 25 07 10 06 54 06 39 06 23 06 08 05 53 05 37 05 22 05 06 04 50

70 28 14 07 59 45 31 17 07 03 49 36 22 08 54 40 26 12 04 5868 13 08 01 48 36 23 11 06 58 45 33 20 08 55 43 30 17 05 0566 08 01 07 50 39 28 16 05 53 42 31 19 08 56 45 33 22 1064 07 51 41 31 21 10 07 00 50 39 29 18 08 57 46 36 25 1562 42 33 24 15 05 06 56 46 37 27 17 08 58 48 38 28 19

N60 07 35 07 27 07 18 07 10 07 01 06 52 06 43 06 34 06 26 06 16 06 07 05 58 05 49 05 40 05 31 05 2258 28 21 13 05 06 57 49 41 33 24 16 07 59 50 42 33 2556 23 16 08 07 01 54 46 39 31 23 15 07 05 59 51 44 36 2854 18 11 04 06 58 51 44 36 29 22 15 07 06 00 52 45 38 3052 13 07 07 01 54 48 41 35 28 21 14 07 00 53 46 39 32

N50 07 09 07 03 06 57 06 51 06 45 06 39 06 33 06 26 06 20 06 14 06 07 06 01 05 54 05 47 05 41 05 3445 06 59 06 55 50 45 40 34 29 23 18 12 07 01 56 50 44 3940 52 48 43 39 35 30 26 21 16 11 07 02 57 52 47 4235 45 41 38 34 31 27 23 19 15 11 06 02 58 54 50 4530 39 36 33 30 27 24 20 17 13 10 06 03 05 59 55 52 48

N20 06 29 06 27 06 25 06 23 06 20 06 18 06 16 06 13 06 11 06 08 06 06 06 03 06 01 05 58 05 55 05 53N10 19 18 17 16 15 13 12 10 09 07 05 04 02 06 00 05 58 05 57

0 11 10 10 10 09 09 08 07 06 06 05 04 03 02 06 01 06 00S 10 06 02 06 02 06 03 06 03 06 04 06 04 04 04 04 04 04 04 04 04 04 04

20 05 52 05 54 05 55 05 56 05 57 05 58 06 00 06 01 06 01 02 03 04 05 06 07 07

S 30 05 41 05 44 05 46 05 48 05 50 05 52 05 54 05 56 05 58 06 00 06 02 06 04 06 06 06 08 06 09 06 1135 35 38 41 43 46 49 51 54 57 05 59 02 04 06 09 11 1440 27 31 35 38 41 45 48 51 54 58 01 04 07 10 13 1645 19 23 27 32 36 40 44 48 52 56 06 00 04 08 11 15 1950 08 14 19 24 29 34 39 44 49 54 05 59 03 08 13 18 22

S 52 05 04 05 09 05 15 05 21 05 26 05 32 05 37 05 42 05 48 05 53 05 58 06 03 06 09 06 14 06 19 06 2454 04 58 05 04 11 17 23 29 34 40 46 52 58 03 09 14 20 2656 52 04 59 06 12 19 25 32 38 44 51 57 03 09 15 21 2758 46 53 05 00 08 15 22 29 36 43 49 56 03 10 16 23 29

S 60 04 38 04 46 04 54 05 02 05 10 05 18 05 25 05 33 05 40 05 48 05 55 06 03 06 10 06 17 06 25 06 32

SUNSET, 2013



70 16 02 16 16 29 42 16 55 08 21 33 46 58 10 22 35 47 18 59 1268 16 28 40 16 52 17 04 15 26 37 48 17 59 10 21 32 43 54 19 0566 28 39 50 17 00 10 20 30 40 50 18 00 10 20 30 39 49 18 5964 38 48 16 57 07 16 25 34 43 52 01 10 19 28 37 45 5462 47 16 55 17 04 12 21 29 37 46 54 02 10 18 26 34 42 50

N60 16 54 17 02 17 10 17 17 17 25 17 33 17 40 17 48 17 55 18 03 18 10 18 17 18 25 18 32 18 39 18 4758 17 01 08 15 22 29 36 43 50 56 03 10 17 23 30 37 4356 06 13 19 26 32 39 45 51 57 04 10 16 22 28 34 4054 11 17 23 29 35 41 47 53 59 04 10 16 21 27 32 3852 16 22 27 33 38 43 49 54 17 59 05 10 15 20 25 31 36

N50 17 20 17 25 17 31 17 36 17 41 17 46 17 51 17 55 18 00 18 05 18 10 18 15 18 19 18 24 18 29 18 3445 29 34 38 42 46 50 54 17 58 02 06 10 14 18 21 25 2940 37 41 44 47 51 54 17 57 18 01 04 07 10 13 16 19 22 2535 44 47 49 52 55 17 57 18 00 03 05 08 10 13 15 17 20 2230 17 50 17 52 17 54 17 56 17 58 18 00 03 04 06 08 10 12 14 16 18 19

N20 18 00 18 01 18 02 18 04 18 05 18 06 18 07 18 08 18 09 18 10 18 10 18 11 18 12 18 13 18 14 18 15N10 09 09 10 10 10 11 11 11 11 11 11 11 11 11 11 10

0 17 17 17 16 16 15 14 14 13 12 11 10 09 09 08 07S 10 26 25 24 23 21 20 18 17 15 13 12 10 08 07 05 18 03

20 36 34 32 30 27 25 23 20 18 15 12 10 07 05 18 02 17 59

S 30 18 46 18 44 18 41 18 37 18 34 18 31 18 27 18 24 18 20 18 17 18 13 18 10 18 06 18 02 17 59 17 5535 18 53 49 46 42 38 34 30 26 22 18 14 10 05 01 57 5340 19 00 18 56 52 47 43 38 34 29 24 19 15 10 05 18 00 55 5045 08 19 04 18 59 18 53 48 43 38 32 27 21 15 10 04 17 58 53 4750 19 13 19 07 19 01 55 49 42 36 29 23 16 10 03 57 50 44

S 52 19 23 19 17 19 11 19 04 18 58 18 51 18 44 18 38 18 31 18 24 18 17 18 10 18 03 17 56 17 49 17 4254 29 22 15 08 19 01 54 47 39 32 25 17 10 02 55 48 4056 34 27 20 12 05 18 57 49 41 34 26 18 10 02 54 46 3958 41 33 25 17 09 19 01 52 44 35 27 19 10 02 53 45 36

S 60 19 48 19 40 19 31 19 22 19 13 19 04 18 55 18 46 18 37 18 28 18 19 18 10 18 01 17 52 17 43 17 34






70 20 07 06 55 42 29 16 02 49 35 21 07 53 38 23 04 07 03 5168 12 07 01 50 38 27 15 03 50 38 25 12 04 59 46 33 19 04 0566 06 06 56 46 35 24 13 02 51 40 28 17 05 05 53 41 28 1664 07 00 51 42 32 22 12 02 52 42 31 20 09 04 59 47 36 2562 06 56 47 39 30 21 12 02 53 43 33 23 13 05 03 53 43 32

N60 06 51 06 44 06 36 06 27 06 19 06 11 06 02 05 53 05 44 05 35 05 26 05 17 05 07 04 58 04 49 04 3958 48 40 33 25 18 10 02 54 45 37 28 20 11 05 02 54 4556 44 37 31 24 16 09 01 54 46 38 30 22 14 06 04 58 5054 41 35 28 22 15 08 01 54 47 39 32 25 17 09 05 02 5452 38 32 26 20 14 07 01 54 47 40 34 27 19 12 05 04 58

N50 06 35 06 30 06 24 06 19 06 13 06 07 06 01 05 54 05 48 05 41 05 35 05 28 05 22 05 15 05 08 05 0245 29 25 20 15 10 05 06 00 54 49 43 38 32 26 21 15 0940 24 20 16 12 08 03 05 59 54 49 45 40 35 30 25 20 1535 19 16 12 09 05 01 58 54 50 45 41 37 33 28 24 2030 14 12 09 06 06 03 06 00 56 53 50 46 42 39 35 31 28 24

N20 06 06 06 04 06 02 06 00 05 58 05 56 05 54 05 51 05 49 05 46 05 44 05 41 05 39 05 36 05 33 05 31N10 05 58 05 57 05 56 05 55 54 52 51 49 48 46 44 43 41 39 37 36

0 49 49 49 49 48 48 47 46 46 45 44 43 42 41 40 39S 10 40 41 41 42 42 43 43 43 43 43 43 43 43 43 43 43

20 30 31 32 34 35 36 37 38 39 40 41 42 43 44 44 45

S 30 05 16 05 19 05 21 05 24 05 26 05 28 05 30 05 32 05 34 05 36 05 38 05 40 05 42 05 44 05 46 05 4735 05 08 11 14 17 20 23 26 29 31 34 36 39 41 44 46 4840 04 59 05 03 05 06 10 14 17 21 24 27 31 34 37 40 43 46 4945 47 04 52 04 57 05 01 05 06 10 14 18 22 27 31 34 38 42 46 5050 33 39 45 04 50 04 56 05 01 06 11 16 21 26 31 36 41 45 50

S 52 04 26 04 33 04 39 04 45 04 51 04 57 05 02 05 08 05 14 05 19 05 24 05 30 05 35 05 40 05 45 05 5054 19 26 32 39 45 52 04 58 04 10 16 22 28 34 39 45 5056 10 18 25 32 40 47 53 05 00 07 13 20 26 32 38 44 5058 04 00 04 09 17 25 33 40 48 04 55 05 03 10 17 24 30 37 44 50

S 60 03 49 03 58 04 07 04 16 04 25 04 34 04 42 04 50 04 58 05 06 05 14 05 21 05 28 05 36 05 43 05 50




70 10 22 34 46 17 58 10 22 34 47 18 59 12 24 37 19 51 20 05 1968 17 28 39 49 18 00 11 22 33 44 55 06 17 29 41 19 53 20 0566 24 33 43 53 02 12 22 32 41 51 19 01 12 22 32 43 19 5464 29 38 46 55 04 13 22 31 40 48 18 58 07 16 25 35 4462 34 42 50 17 58 06 14 22 30 38 46 54 19 03 11 19 28 37

N60 17 38 17 45 17 52 18 00 18 07 18 14 18 22 18 29 18 37 18 44 18 52 18 59 19 07 19 14 19 22 19 3058 42 48 55 02 08 15 22 29 35 42 49 56 03 10 17 2456 45 51 17 57 04 10 16 22 28 35 41 47 53 19 00 06 12 1954 48 54 18 00 05 11 17 22 28 34 39 45 51 18 57 19 03 08 1452 51 56 02 07 12 17 23 28 33 38 44 49 54 18 59 05 10

N50 17 54 17 59 18 03 18 08 18 13 18 18 18 23 18 28 18 32 18 37 18 42 18 47 18 52 18 57 19 02 19 0745 18 00 18 04 08 12 16 20 24 27 31 35 39 43 47 51 18 55 18 5940 05 08 11 15 18 21 24 28 31 34 37 40 43 46 50 5335 10 12 15 18 20 23 25 28 30 33 35 38 40 43 45 4830 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 43

N20 18 22 18 24 18 25 18 26 18 27 18 28 18 29 18 30 18 31 18 32 18 32 18 33 18 34 18 35 18 36 18 37N10 30 31 31 31 32 32 32 32 32 32 32 32 32 32 32 32

0 39 38 38 37 37 36 35 34 34 33 32 31 30 29 28 28S 10 48 47 45 44 43 41 39 38 36 34 33 31 29 28 26 24

20 18 58 18 56 18 54 18 52 50 47 45 42 40 37 34 32 29 27 24 21

S 30 19 11 19 08 19 05 19 02 18 58 18 55 18 52 18 48 18 44 18 41 18 37 18 34 18 30 18 26 18 23 18 1935 19 16 12 08 19 04 19 00 18 56 52 48 43 39 35 31 26 22 1840 28 24 20 15 11 06 19 01 18 56 51 46 42 37 32 27 22 1745 40 34 29 24 18 13 07 19 02 18 56 50 45 39 33 28 22 1750 19 54 47 41 35 28 22 15 08 19 02 55 49 42 35 29 22 16

S 52 20 00 19 54 19 47 19 40 19 33 19 26 19 19 19 12 19 05 18 58 18 50 18 43 18 36 18 29 18 23 18 1654 08 20 00 19 53 46 38 30 23 15 08 19 00 53 45 38 30 23 1656 16 08 20 00 52 44 36 28 19 11 03 55 47 39 31 23 1658 26 17 08 19 59 50 42 33 24 15 06 18 58 49 41 32 24 15

S 60 20 37 20 27 20 17 20 08 19 58 19 48 19 39 19 29 19 20 19 10 19 01 18 52 18 42 18 33 18 24 18 15



14 SUNRISE, 2013

April MayLat.2 5 8 11 14 17 20 23 26 29 2 5 8 11 14 17

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN72 04 50 04 34 04 18 04 01 03 44 03 27 03 09 02 50 02 29 02 08 01 43 01 12 00 20

70 04 58 44 29 15 04 00 03 45 30 03 14 02 58 02 42 02 24 02 06 01 45 01 22 00 5268 05 05 52 39 26 13 04 00 03 47 33 03 20 03 06 02 52 02 38 02 23 02 08 01 52 01 3566 10 04 58 47 35 23 12 04 00 03 48 37 25 03 13 03 01 02 49 02 38 02 26 02 1464 15 05 04 53 43 32 22 11 04 01 03 50 40 30 20 03 10 03 00 02 50 02 4062 19 09 04 59 49 40 30 21 11 04 02 03 52 43 34 26 17 03 09 03 01

N60 05 22 05 13 05 04 04 55 04 46 04 37 04 29 04 20 04 11 04 03 03 55 03 47 03 39 03 32 03 24 03 1858 25 17 08 05 00 52 44 36 28 20 12 04 05 03 58 03 51 44 38 3156 28 20 12 04 04 57 49 42 35 27 20 14 04 07 04 01 03 55 49 4354 30 23 16 08 05 01 54 47 41 34 28 21 15 10 04 04 03 59 03 5452 32 26 19 12 05 04 59 52 46 40 34 28 23 17 12 04 08 04 03

N50 05 34 05 28 05 22 05 15 05 09 05 03 04 57 04 51 04 45 04 40 04 35 04 29 04 24 04 20 04 15 04 1145 39 33 28 22 17 12 05 07 05 02 04 57 04 52 48 44 39 36 32 2940 42 38 33 28 24 19 15 11 05 06 05 03 04 59 04 55 04 52 04 49 46 4335 45 41 37 33 29 25 22 18 15 11 05 08 05 05 05 02 05 00 04 57 04 5530 48 45 41 38 34 31 28 25 22 19 16 14 11 09 05 07 05 05

N20 05 53 05 50 05 48 05 45 05 43 05 40 05 38 05 36 05 34 05 32 05 30 05 29 05 27 05 26 05 24 05 23N10 05 57 55 53 52 50 49 47 46 45 43 42 41 40 40 39 39

0 06 00 05 59 05 58 05 58 05 57 05 56 05 56 05 55 05 54 05 54 05 54 05 53 05 53 05 53 05 53 05 53S 10 04 06 04 06 04 06 04 06 04 06 04 06 04 06 04 06 04 06 04 06 05 06 05 06 05 06 06 06 06 06 07

20 07 08 09 10 11 11 12 13 14 15 16 17 19 20 21 22

S 30 06 11 06 13 06 15 06 17 06 18 06 20 06 22 06 24 06 26 06 28 06 30 06 32 06 33 06 35 06 37 06 3935 14 16 18 21 23 25 28 30 33 35 37 40 42 44 47 06 4940 16 19 22 25 28 31 34 37 40 43 46 06 49 06 52 06 55 06 57 07 0045 19 23 26 30 34 38 41 45 49 06 52 06 56 07 00 07 03 07 07 07 10 1350 22 27 32 36 41 45 50 55 06 59 07 04 07 08 13 17 21 25 30

S 52 06 24 06 29 06 34 06 39 06 44 06 49 06 54 06 59 07 04 07 09 07 14 07 19 07 23 07 28 07 33 07 3754 26 31 37 42 48 53 06 59 07 04 09 15 20 25 31 36 41 4556 27 33 39 45 51 06 57 07 03 09 15 21 27 33 38 44 07 50 07 5558 29 36 43 49 06 56 07 02 09 15 22 28 35 41 47 07 54 08 00 08 06

S 60 06 32 06 39 06 46 06 53 07 01 07 08 07 15 07 22 07 29 07 36 07 44 07 51 07 58 08 05 08 11 08 18

SUNSET, 2013

April MayLat.2 5 8 11 14 17 20 23 26 29 2 5 8 11 14 17

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN72 19 20 19 34 19 49 20 04 20 20 20 36 20 54 21 12 21 32 21 53 22 19 22 52

70 12 24 37 19 50 20 03 17 31 20 46 21 01 21 17 21 34 21 53 22 14 22 39 23 1468 19 05 16 27 39 19 50 20 02 14 26 20 39 20 52 21 05 21 19 21 34 21 49 22 05 22 2366 18 59 09 19 29 39 19 50 20 00 20 11 22 32 20 44 20 55 21 06 21 18 21 30 21 4264 54 19 03 12 21 30 39 19 49 19 58 20 07 17 26 36 20 46 20 55 21 05 21 1562 50 18 58 06 14 23 31 39 47 19 56 20 04 12 21 29 38 20 46 20 54

N60 18 47 18 54 19 01 19 09 19 16 19 23 19 31 19 38 19 46 19 53 20 01 20 08 20 15 20 23 20 30 20 3758 43 50 18 57 19 03 10 17 24 30 37 44 19 50 19 57 20 04 20 10 17 2356 40 47 53 18 59 05 11 17 23 29 36 42 48 19 53 19 59 20 05 1154 38 44 49 55 19 00 06 12 17 23 28 34 39 45 50 19 55 20 0052 36 41 46 51 18 56 19 01 06 12 17 22 27 32 37 41 46 19 51

N50 18 34 18 38 18 43 18 48 18 52 18 57 19 02 19 06 19 11 19 16 19 20 19 25 19 29 19 34 19 38 19 4245 29 33 37 40 44 48 18 52 18 56 18 59 19 03 19 07 19 11 14 18 21 2540 25 28 31 34 37 41 44 47 50 18 53 18 56 18 59 19 02 19 05 19 08 19 1035 22 25 27 29 32 34 37 39 41 44 46 49 18 51 18 54 18 56 18 5830 19 21 23 25 27 29 30 32 34 36 38 40 42 44 46 48

N20 18 15 18 15 18 16 18 17 18 18 18 19 18 20 18 21 18 22 18 23 18 24 18 25 18 26 18 27 18 29 18 30N10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 14 14

0 07 06 05 18 04 18 04 18 03 18 02 18 02 18 01 18 01 18 00 18 00 18 00 18 00 18 00 18 00S 10 18 03 18 01 18 00 17 58 17 57 17 55 17 54 17 53 17 51 17 50 17 49 17 48 17 47 17 47 17 46 17 46

20 17 59 17 57 17 54 52 50 47 45 43 41 39 37 36 34 33 32 31

S 30 17 55 17 52 17 48 17 45 17 42 17 38 17 35 17 32 17 29 17 27 17 24 17 21 17 19 17 17 17 15 17 1335 53 49 45 41 37 33 30 26 23 19 16 13 11 17 08 17 06 17 0340 50 46 41 36 32 27 23 19 15 11 17 07 17 04 17 01 16 58 16 55 16 5245 47 42 36 31 26 21 16 11 17 06 17 02 16 57 16 53 16 49 46 42 3950 44 37 31 25 19 13 07 17 01 16 56 16 50 45 40 35 31 27 23

S 52 17 42 17 35 17 29 17 22 17 16 17 09 17 03 16 57 16 51 16 45 16 39 16 34 16 29 16 24 16 19 16 1554 40 33 26 19 12 05 16 58 52 45 39 33 27 22 16 11 16 0756 39 31 23 16 08 17 01 53 46 39 33 26 20 14 16 08 16 03 15 5758 36 28 20 12 17 04 16 56 48 40 33 25 18 11 16 05 15 58 15 52 47

S 60 17 34 17 25 17 16 17 07 16 59 16 50 16 42 16 33 16 25 16 17 16 09 16 02 15 54 15 47 15 41 15 34




April MayLat.2 5 8 11 14 17 20 23 26 29 2 5 8 11 14 17

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN72 03 34 03 15 02 54 02 31 02 06 01 36 00 53 //// //// //// //// //// ////

70 03 51 35 03 18 03 00 02 40 02 19 01 56 01 28 00 50 //// //// //// //// //// ////

68 04 05 03 50 36 20 03 04 02 48 02 30 02 11 01 50 01 26 00 53 //// //// //// //// ////

66 16 04 03 03 50 37 23 03 09 02 54 02 39 02 23 02 07 01 48 01 28 01 02 00 21 //// ////

64 25 13 04 02 03 50 38 26 03 13 03 00 02 47 34 02 20 02 05 01 50 01 33 01 14 00 5162 32 22 11 04 01 03 50 39 28 17 03 06 02 55 02 43 31 02 20 02 07 01 55 01 42

N60 04 39 04 29 04 20 04 10 04 00 03 50 03 41 03 31 03 21 03 11 03 01 02 51 02 42 02 32 02 22 02 1258 45 36 27 18 09 04 00 03 51 42 34 25 16 03 08 02 59 02 51 43 3556 50 41 33 25 17 09 04 01 03 52 44 37 29 21 03 14 03 06 02 59 02 5354 54 46 39 31 24 16 09 04 01 03 54 47 40 33 26 20 03 14 03 0852 04 58 51 44 37 30 23 16 09 04 02 03 56 49 43 37 31 26 20

N50 05 02 04 55 04 48 04 42 04 35 04 29 04 22 04 16 04 10 04 04 03 58 03 52 03 47 03 41 03 36 03 3245 09 05 03 04 58 04 52 46 41 36 30 25 20 04 15 04 11 04 06 04 02 03 58 03 5440 15 10 05 05 05 00 04 56 51 46 42 38 33 29 26 22 18 04 15 04 1235 20 16 12 07 05 03 04 59 04 55 04 52 48 44 41 38 35 32 29 2730 24 20 17 13 10 05 06 05 03 05 00 04 57 04 54 04 51 04 48 04 46 04 43 04 41 39

N20 05 31 05 28 05 25 05 23 05 20 05 18 05 16 05 13 05 11 05 09 05 07 05 05 05 04 05 02 05 01 04 59N10 36 34 32 30 29 27 26 24 23 22 20 19 18 18 17 05 16

0 39 39 38 37 36 35 34 34 33 33 32 32 31 31 31 31S 10 43 43 42 42 42 42 42 42 43 43 43 43 43 44 44 45

20 45 46 47 48 48 49 50 05 51 05 52 05 53 05 54 05 55 05 56 05 57 05 58 05 59

S 30 05 47 05 49 05 51 05 53 05 54 05 56 05 58 06 00 06 01 06 03 06 05 06 07 06 08 06 10 06 12 06 1435 48 51 53 55 05 57 06 00 06 02 04 06 09 11 13 15 18 20 2240 49 52 55 05 58 06 01 04 06 09 12 15 18 20 23 26 28 3145 50 53 57 06 01 04 08 11 15 18 22 25 29 32 35 38 4150 50 55 05 59 04 08 13 17 21 25 30 34 38 42 46 50 54

S 52 05 50 05 55 06 00 06 05 06 10 06 15 06 19 06 24 06 29 06 33 06 38 06 42 06 47 06 51 06 55 06 5954 50 56 01 06 12 17 22 27 32 37 42 47 52 06 56 07 01 07 0556 50 56 02 08 14 19 25 30 36 41 47 52 06 57 07 02 07 1258 50 57 03 09 16 22 28 34 40 46 52 06 58 07 03 09 14 19

S 60 05 50 05 57 06 04 06 11 06 18 06 25 06 32 06 38 06 45 06 51 06 58 07 04 07 10 07 16 07 22 07 28


April MayLat.2 5 8 11 14 17 20 23 26 29 2 5 8 11 14 17

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN72 20 37 20 55 21 15 21 37 22 02 22 34 23 27 //// //// //// //// ////

70 19 34 20 50 21 07 21 25 21 45 22 09 22 38 23 25 //// //// //// //// //// ////

68 20 05 18 31 20 45 21 00 21 15 21 32 21 51 22 12 22 37 23 15 //// //// //// //// ////

66 19 54 20 05 16 28 20 41 20 53 21 07 21 21 21 36 21 53 22 11 22 33 23 00 //// //// ////

64 44 19 54 20 04 15 25 36 20 48 20 59 21 11 24 21 38 21 52 22 07 22 25 22 45 23 1162 37 45 19 54 20 03 13 22 32 42 20 52 21 03 21 14 25 21 37 21 49 22 01 22 15

N60 19 30 19 38 19 46 19 54 20 02 20 11 20 19 20 28 20 37 20 46 20 55 21 04 21 14 21 24 21 33 21 4358 24 31 38 46 19 53 20 01 20 08 16 24 32 40 20 48 20 56 21 04 21 12 2056 19 25 32 39 45 19 52 19 59 20 06 13 20 27 34 41 20 48 20 55 21 0254 14 20 26 32 38 44 51 19 57 20 03 09 16 22 28 34 41 20 4752 10 16 21 27 32 38 43 49 19 55 20 00 20 06 12 17 23 28 34

N50 19 07 19 11 19 16 19 22 19 27 19 32 19 37 19 42 19 47 19 52 19 57 20 02 20 08 20 13 20 18 20 2245 18 59 19 03 19 07 11 15 19 23 27 31 35 39 19 44 19 48 19 52 19 55 19 5940 53 18 56 18 59 19 02 19 06 09 12 15 19 22 25 29 32 35 38 4135 48 50 53 18 55 18 58 19 00 19 03 19 06 19 08 11 13 16 19 21 24 2730 43 45 47 49 51 18 53 18 55 18 57 18 59 19 01 19 03 19 06 19 08 19 10 19 12 19 14

N20 18 37 18 38 18 39 18 39 18 40 18 41 18 42 18 44 18 45 18 46 18 47 18 48 18 50 18 51 18 52 18 54N10 32 32 32 32 32 32 32 32 33 33 34 34 35 35 36 37

0 28 27 26 25 25 24 23 23 22 22 22 22 22 22 22 22S 10 24 23 21 19 18 17 15 14 13 12 11 18 10 18 09 18 09 18 08 18 08

20 21 19 17 14 12 10 07 18 05 18 04 18 02 18 00 17 59 17 57 17 56 17 55 17 54

S 30 18 19 18 16 18 12 18 09 18 06 18 03 18 00 17 57 17 54 17 51 17 49 17 46 17 44 17 42 17 41 17 3935 18 14 10 06 18 03 17 59 17 55 52 49 45 43 40 37 35 33 3140 17 13 08 04 17 59 55 51 47 43 39 36 32 29 26 24 2145 17 11 06 18 01 56 51 46 41 37 32 28 24 21 17 14 17 1150 16 10 04 17 57 52 46 40 35 29 24 19 15 10 06 17 02 16 59

S 52 18 16 18 09 18 03 17 56 17 50 17 44 17 38 17 32 17 26 17 21 17 15 17 10 17 06 17 01 16 57 16 5354 16 09 02 55 48 41 35 29 22 17 11 06 17 01 16 56 51 4756 16 08 18 00 53 46 39 32 25 19 12 06 17 01 16 55 50 45 4058 15 07 17 59 51 44 36 29 21 14 08 17 01 16 55 49 43 38 33

S 60 18 15 18 07 17 58 17 50 17 41 17 33 17 25 17 17 17 10 17 02 16 55 16 48 16 42 16 36 16 30 16 24



16 SUNRISE, 2013

May June JulyLat.17 20 23 26 29 1 4 7 10 13 16 19 22 25 28 1

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN72

7068 01 35 01 16 00 53 00 1366 02 14 02 02 01 49 01 37 01 25 01 12 00 58 00 44 00 28 00 2164 02 40 31 02 22 02 13 02 05 01 58 01 51 01 44 01 39 01 35 01 32 01 31 01 31 01 33 01 37 01 4162 03 01 02 53 02 46 39 33 02 27 02 22 02 18 02 14 02 11 02 10 02 09 02 10 02 11 02 14 02 17

N60 03 18 03 11 03 05 02 59 02 54 02 49 02 45 02 42 02 39 02 37 02 36 02 36 02 36 02 37 02 39 02 4258 31 26 20 03 15 03 11 03 07 03 04 03 01 02 59 02 57 02 56 02 56 02 57 02 58 03 00 03 0256 43 38 34 29 25 22 19 17 03 15 03 14 03 13 03 13 03 13 03 15 16 1854 03 54 49 45 41 38 35 32 30 29 28 27 27 28 29 30 3252 04 03 03 59 03 55 03 52 49 46 44 42 41 40 39 39 40 41 42 44

N50 04 11 04 08 04 04 04 01 03 58 03 56 03 54 03 52 03 51 03 50 03 50 03 50 03 51 03 52 03 53 03 5545 29 26 23 20 04 18 04 17 04 15 04 14 04 13 04 13 04 13 04 13 04 13 04 14 04 16 04 1740 43 40 38 36 35 33 32 31 31 31 31 31 32 32 34 3535 04 55 04 53 04 51 04 50 04 48 47 46 46 46 45 46 46 04 47 04 47 04 48 04 5030 05 05 05 04 05 02 05 01 05 00 04 59 04 59 04 58 04 58 04 58 04 59 04 59 05 00 05 00 05 01 05 02

N20 05 23 05 22 05 21 05 21 05 20 05 20 05 20 05 20 05 20 05 20 05 21 05 21 05 22 05 22 05 23 05 24N10 39 38 38 38 38 38 38 38 39 39 40 40 41 41 05 42 05 43

0 05 53 05 53 05 53 05 53 05 54 05 54 05 55 05 55 05 56 05 56 05 57 05 58 05 58 05 59 06 00 06 00S 10 06 07 06 08 06 08 06 09 06 10 06 11 06 11 06 12 06 13 06 14 06 14 06 15 06 16 06 16 17 17

20 22 23 24 26 27 28 29 30 31 32 33 34 34 35 35 36

S 30 06 39 06 41 06 43 06 44 06 46 06 48 06 49 06 51 06 52 06 53 06 54 06 55 06 56 06 56 06 56 06 5735 06 49 06 51 06 53 06 55 06 57 06 59 07 01 07 03 07 04 07 05 07 06 07 07 07 08 07 08 07 09 07 0940 07 00 07 03 07 05 07 08 07 10 07 12 14 16 18 19 21 22 22 23 23 2345 13 17 20 23 25 28 30 33 34 36 37 38 07 39 07 39 07 39 3950 30 33 37 41 44 47 50 07 52 07 55 07 57 07 58 07 59 08 00 08 00 08 00 07 59

S 52 07 37 07 41 07 45 07 49 07 53 07 56 07 59 08 02 08 04 08 06 08 08 08 09 08 10 08 10 08 10 08 0954 45 07 50 07 55 07 59 08 03 08 06 08 10 13 15 17 19 20 21 21 21 2056 07 55 08 00 08 05 08 09 14 18 21 25 27 30 32 33 34 34 33 3258 08 06 11 17 22 27 31 35 39 42 08 44 08 46 08 48 08 48 08 48 08 48 08 47

S 60 08 18 08 24 08 30 08 36 08 42 08 47 08 51 08 55 08 59 09 02 09 04 09 05 09 06 09 06 09 05 09 04

SUNSET, 2013

May June JulyLat.17 20 23 26 29 1 4 7 10 13 16 19 22 25 28 1


7068 22 23 22 44 23 1066 21 42 21 55 22 08 22 21 22 34 22 48 23 03 23 19 23 38 23 3964 21 15 24 21 34 21 43 21 52 22 00 22 08 22 15 22 21 22 26 22 30 22 32 22 32 22 31 22 29 22 2562 20 54 21 02 21 09 21 17 24 21 30 21 36 21 41 21 46 21 49 21 52 21 54 21 54 21 54 21 52 21 50

N60 20 37 20 44 20 50 20 56 21 02 21 08 21 13 21 17 21 21 21 24 21 26 21 27 21 28 21 28 21 27 21 2558 23 29 34 40 20 45 20 50 20 54 20 58 21 01 21 04 21 06 21 07 21 07 21 07 21 07 21 0556 11 16 21 26 30 35 38 42 20 45 20 47 20 49 20 50 20 51 20 51 20 50 20 4954 20 00 20 05 20 09 14 18 22 25 28 31 33 35 36 36 36 36 3552 19 51 19 55 19 59 20 03 20 07 10 14 16 19 21 22 23 24 24 24 23

N50 19 42 19 46 19 50 19 54 19 57 20 00 20 03 20 06 20 08 20 10 20 11 20 12 20 13 20 13 20 13 20 1245 25 28 31 34 37 19 40 19 42 19 44 19 46 19 48 19 49 19 50 19 51 19 51 19 51 19 5040 19 10 13 16 18 21 23 25 27 28 30 31 32 32 33 33 3335 18 58 19 01 19 03 19 05 19 07 19 09 19 10 19 12 14 15 16 17 17 18 18 1830 48 18 50 18 51 18 53 18 55 18 57 18 58 18 59 19 01 19 02 19 03 19 04 19 04 19 05 19 05 19 05

N20 18 30 18 31 18 32 18 33 18 35 18 36 18 37 18 38 18 39 18 40 18 41 18 42 18 42 18 43 18 43 18 43N10 14 15 16 16 17 18 19 20 20 21 22 23 23 24 24 25

0 18 00 18 00 18 00 18 01 18 01 18 01 18 02 18 03 18 03 18 04 18 04 18 05 18 06 18 06 18 07 18 08S 10 17 46 17 45 17 45 17 45 17 45 17 45 17 45 17 46 17 46 17 46 17 47 17 48 17 48 17 49 17 50 17 50

20 31 30 29 28 28 28 28 28 28 28 28 29 30 30 31 32

S 30 17 13 17 12 17 11 17 09 17 08 17 08 17 07 17 07 17 07 17 07 17 07 17 08 17 08 17 09 17 10 17 1135 17 03 17 02 17 00 16 58 16 57 16 56 16 55 16 55 16 55 16 55 16 55 16 55 16 56 16 57 16 58 16 5940 16 52 16 50 16 48 46 44 43 42 41 41 41 41 41 42 43 44 4545 39 36 33 31 29 27 26 25 24 24 24 24 25 26 27 2950 23 19 16 13 10 16 08 16 06 16 05 16 04 16 04 16 03 16 04 16 04 16 05 16 07 16 08

S 52 16 15 16 11 16 08 16 04 16 02 15 59 15 57 15 56 15 54 15 54 15 53 15 54 15 54 15 55 15 57 15 5954 16 07 16 02 15 58 15 55 15 52 49 47 45 44 43 42 43 43 44 46 4856 15 57 15 53 48 44 41 37 35 33 31 30 30 30 31 32 33 3658 47 41 36 32 28 24 21 19 17 15 16 15 15 15 15 15 16 17 19 21

S 60 15 34 15 28 15 23 15 17 15 13 15 09 15 05 15 02 15 00 14 59 14 58 14 58 14 58 15 00 15 02 15 04




May June JulyLat.17 20 23 26 29 1 4 7 10 13 16 19 22 25 28 1


7068 //// //// //// ////

66 //// //// //// //// //// //// //// //// //// ////

64 00 51 00 09 //// //// //// //// //// //// //// //// //// //// //// //// //// ////

62 01 42 01 28 01 14 00 58 00 38 //// //// //// //// //// //// //// //// //// //// ////

N60 02 12 02 03 01 53 01 44 01 35 01 26 01 17 01 09 01 02 00 56 00 52 00 49 00 49 00 52 00 57 01 0458 35 27 02 20 02 13 02 06 02 00 01 55 01 50 01 46 01 43 01 41 01 40 01 41 01 42 01 45 01 4956 02 53 02 46 40 34 29 24 02 20 02 17 02 14 02 12 02 11 02 10 02 11 02 12 02 14 02 1754 03 08 03 02 02 57 02 52 02 47 44 40 37 35 34 33 33 33 34 36 3952 20 15 03 11 03 07 03 03 02 59 02 57 02 54 02 52 02 51 02 51 02 51 02 51 02 52 02 54 02 56

N50 03 32 03 27 03 23 03 19 03 16 03 13 03 11 03 09 03 07 03 06 03 06 03 06 03 06 03 07 03 09 03 1145 03 54 03 51 03 48 03 45 03 42 03 40 03 38 37 36 35 35 35 36 03 37 03 38 03 4040 04 12 04 09 04 07 04 05 04 03 04 01 04 00 03 59 03 58 03 58 03 58 03 58 03 59 04 00 04 01 04 0235 27 25 23 21 19 18 17 04 16 04 16 04 16 04 16 04 16 04 17 18 19 2030 39 37 36 34 33 32 32 31 31 31 31 32 32 33 34 04 35

N20 04 59 04 58 04 57 04 57 04 56 04 56 04 55 04 55 04 55 04 56 04 56 04 57 04 57 04 58 04 59 05 00N10 05 16 05 16 05 15 05 15 05 15 05 15 05 15 05 15 05 16 05 16 05 16 05 17 05 18 05 18 05 19 20

0 31 31 31 31 32 32 32 33 33 34 35 35 36 36 37 38S 10 45 05 45 05 46 05 47 05 47 05 48 05 49 05 49 05 50 05 51 05 52 05 52 05 53 05 54 05 54 05 55

20 05 59 06 00 06 01 06 02 06 03 06 04 06 05 06 06 06 07 06 08 06 09 06 10 06 10 06 11 06 11 06 12

S 30 06 14 06 15 06 17 06 19 06 20 06 22 06 23 06 24 06 26 06 27 06 28 06 29 06 29 06 30 06 30 06 3035 22 24 26 28 30 31 33 35 36 37 38 39 40 40 41 4140 31 33 36 38 40 42 44 46 06 48 06 49 06 50 06 51 06 52 06 52 06 52 06 5245 41 44 06 47 06 50 06 52 06 55 06 57 06 59 07 01 07 02 07 04 07 04 07 05 07 06 07 06 07 0550 54 06 57 07 00 07 04 07 07 07 10 07 12 07 14 16 18 20 21 21 22 22 21

S 52 06 59 07 03 07 07 07 10 07 13 07 16 07 19 07 22 07 24 07 26 07 27 07 28 07 29 07 29 07 29 07 2854 07 05 09 13 17 21 24 27 29 32 34 35 36 37 37 37 3656 12 16 21 25 29 32 35 38 41 43 44 45 46 46 46 4558 19 24 29 33 38 41 45 48 07 51 07 53 07 54 07 56 07 56 07 57 07 56 07 55

S 60 07 28 07 33 07 38 07 43 07 48 07 52 07 56 07 59 08 02 08 04 08 06 08 07 08 08 08 08 08 08 08 07


May June JulyLat.17 20 23 26 29 1 4 7 10 13 16 19 22 25 28 1


7068 //// //// ////

66 //// //// //// //// //// //// //// //// //// ////

64 23 11 //// //// //// //// //// //// //// //// //// //// //// //// //// //// ////

62 22 15 22 29 22 44 23 02 23 25 //// //// //// //// //// //// //// //// //// //// ////

N60 21 43 21 53 22 03 22 13 22 23 22 33 22 42 22 51 22 59 23 06 23 11 23 14 23 14 23 12 23 08 23 0258 20 28 21 36 21 43 21 51 21 57 22 04 22 09 22 14 22 18 22 21 22 23 22 23 22 23 22 21 22 1856 21 02 21 09 21 15 21 27 33 21 38 21 42 21 46 21 49 21 51 21 53 21 53 21 53 21 52 21 5054 20 47 20 52 20 58 21 03 21 08 21 13 17 21 24 27 29 30 31 31 30 2952 34 39 44 20 49 20 53 20 57 21 01 21 04 21 07 21 09 21 11 21 12 21 13 21 13 21 12 21 11

N50 20 22 20 27 20 31 20 36 20 40 20 43 20 47 20 50 20 52 20 54 20 56 20 57 20 58 20 58 20 57 20 5645 19 59 20 03 20 07 20 10 20 13 20 16 20 19 20 21 23 25 26 27 28 28 28 2740 41 19 44 19 47 19 50 19 53 19 55 19 57 19 59 20 01 20 03 20 04 20 05 20 05 20 06 20 06 20 0535 27 29 31 34 36 38 40 42 19 43 19 44 19 46 19 46 19 47 19 48 19 48 19 4730 19 14 19 16 19 18 19 20 19 22 24 25 27 28 29 30 31 32 32 32 32

N20 18 54 18 55 18 56 18 58 18 59 19 00 19 01 19 02 19 04 19 05 19 05 19 06 19 07 19 07 19 08 19 08N10 37 37 38 39 40 18 41 18 42 18 43 18 43 18 44 18 45 18 46 18 46 18 47 18 47 18 48

0 22 22 22 23 23 24 24 25 26 26 27 28 28 29 29 30S 10 18 08 18 08 18 07 18 07 18 08 18 08 18 08 18 08 18 09 18 09 18 10 18 10 18 11 18 12 18 12 18 13

20 17 54 17 53 17 52 17 52 17 52 17 51 17 51 17 51 17 52 17 52 17 53 17 53 17 54 17 54 17 55 17 56

S 30 17 39 17 38 17 36 17 35 17 34 17 34 17 33 17 33 17 33 17 33 17 34 17 34 17 35 17 36 17 37 17 3835 31 29 27 26 25 24 23 23 23 23 23 24 24 25 26 2740 21 19 17 16 14 13 17 12 17 12 17 11 17 11 17 11 17 12 17 12 13 14 1645 17 11 17 08 17 06 17 04 17 02 17 01 16 59 16 59 16 58 16 58 16 58 16 58 16 59 17 00 17 01 17 0250 16 59 16 55 16 53 16 50 16 48 16 46 44 43 42 42 42 42 43 16 44 16 45 16 47

S 52 16 53 16 50 16 46 16 44 16 41 16 39 16 37 16 36 16 35 16 35 16 34 16 35 16 35 16 36 16 38 16 3954 47 43 40 37 34 32 30 28 27 26 26 26 27 28 30 3156 40 36 32 29 26 23 21 19 18 17 17 17 18 19 21 2358 33 28 24 20 17 14 12 16 10 16 08 16 07 16 07 16 07 16 08 16 09 16 10 13

S 60 16 24 16 19 16 15 16 10 16 07 16 03 16 01 15 59 15 57 15 56 15 55 15 55 15 56 15 57 15 59 16 01



18 SUNRISE, 2013

June July AugustLat.28 1 4 7 10 13 16 19 22 25 28 31 3 6 9 12 15

◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN 72 01 00 01 36 02 03 02 25

70 00 39 01 18 01 44 02 05 02 24 02 41 02 5768 00 47 01 15 01 36 01 54 02 10 02 26 02 40 02 54 03 07 03 2066 00 21 00 42 00 58 01 13 01 27 01 40 01 53 02 06 02 18 02 30 02 42 02 54 03 05 03 16 27 3864 01 37 01 41 01 47 01 54 02 02 02 10 02 19 02 28 02 37 02 46 02 56 03 05 03 15 24 34 43 03 5262 02 14 02 17 02 21 02 26 32 02 38 02 45 02 52 03 00 03 08 03 15 23 32 40 03 48 03 56 04 04

N 60 02 39 02 42 02 46 02 50 02 55 03 00 03 06 03 12 03 18 03 25 03 32 03 39 03 46 03 53 04 00 04 07 04 1458 03 00 03 02 03 05 03 09 03 13 17 22 28 33 39 45 03 51 03 58 04 04 10 17 2356 16 18 21 24 28 32 36 41 46 03 51 03 57 04 02 04 08 14 19 25 3154 30 32 35 38 41 45 49 03 53 03 57 04 02 04 07 12 17 22 27 33 3852 42 44 47 03 49 03 52 03 56 03 59 04 03 04 07 11 16 20 25 30 34 39 44

N 50 03 53 03 55 03 57 04 00 04 02 04 05 04 09 04 12 04 16 04 20 04 24 04 28 04 32 04 37 04 41 04 45 04 5045 04 16 04 17 04 19 21 23 26 29 31 34 38 41 44 04 48 04 51 04 55 04 58 05 0240 34 35 36 38 40 42 45 04 47 04 49 04 52 04 55 04 57 05 00 05 03 05 06 05 09 1235 04 48 04 50 04 51 04 53 04 54 04 56 04 58 05 00 05 02 05 04 05 06 05 09 11 13 15 18 2030 05 01 05 02 05 04 05 05 05 07 05 08 05 10 11 13 15 17 18 20 22 24 26 27

N 20 05 23 05 24 05 25 05 26 05 27 05 28 05 30 05 31 05 32 05 33 05 34 05 35 05 36 05 37 05 38 05 39 05 40N 10 05 42 05 43 05 44 05 44 05 45 05 46 05 47 05 47 05 48 05 49 05 49 05 49 05 50 05 50 05 51 05 51 05 51

0 06 00 06 00 06 01 06 01 06 02 06 02 06 02 06 03 06 03 06 03 06 03 06 03 06 03 06 02 06 02 06 02 06 01S 10 17 17 18 18 18 18 18 18 18 17 17 16 15 14 13 12 11

20 35 36 36 36 36 35 35 34 33 33 31 30 29 27 25 24 22

S 30 06 56 06 57 06 56 06 56 06 56 06 55 06 54 06 53 06 51 06 50 06 48 06 46 06 44 06 42 06 39 06 36 06 3435 07 09 07 09 07 08 07 08 07 07 07 06 07 05 07 03 07 02 07 00 06 58 06 55 06 53 50 47 44 4040 23 23 22 21 20 19 18 16 14 11 07 09 07 06 07 03 06 59 06 56 06 52 4845 07 39 39 38 37 36 34 32 30 28 25 21 18 14 07 10 07 06 07 02 06 5750 08 00 07 59 07 59 07 57 07 55 07 53 51 48 44 41 37 33 28 23 18 13 07 08

S 52 08 10 08 09 08 08 08 06 08 04 08 02 07 59 07 56 07 52 07 48 07 44 07 40 07 35 07 30 07 24 07 19 07 1354 21 20 19 17 15 12 08 09 08 05 08 01 07 57 07 52 47 42 36 31 25 1856 33 32 31 29 26 23 20 16 11 08 06 08 01 07 56 50 44 38 31 2458 08 48 08 47 08 45 43 40 36 32 28 23 17 12 08 06 07 59 07 53 46 39 31

S 60 09 05 09 04 09 01 08 59 08 55 08 51 08 47 08 41 08 36 08 30 08 23 08 17 08 10 08 02 07 55 07 47 07 39

SUNSET, 2013


◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN 72 22 59 22 26 22 01 21 38

70 23 19 22 46 22 22 22 01 21 42 21 25 21 0868 23 15 22 51 22 32 22 14 21 58 21 43 21 28 21 14 21 00 20 4666 23 39 23 21 23 07 22 54 22 41 22 28 22 16 22 04 21 52 21 40 28 21 16 21 04 20 52 20 40 2964 22 29 22 25 22 20 22 14 22 07 21 59 21 51 21 43 21 34 24 21 15 21 05 20 55 20 45 35 25 1462 21 52 21 50 21 46 21 42 21 37 31 25 21 18 21 11 21 03 20 56 20 47 39 30 21 12 20 03

N 60 21 27 21 25 21 22 21 19 21 15 21 10 21 05 20 59 20 53 20 47 20 40 20 33 20 25 20 17 20 09 20 01 19 5358 21 07 21 05 21 03 21 00 20 57 20 53 20 49 44 38 33 26 20 13 20 06 19 59 19 52 4456 20 50 20 49 20 47 20 45 42 39 35 30 26 20 15 09 20 03 19 57 50 43 3654 36 35 34 32 29 26 23 19 15 10 20 05 20 00 19 54 48 42 36 3052 24 23 22 20 18 15 12 09 20 05 20 01 19 56 19 51 46 41 35 30 24

N 50 20 13 20 12 20 11 20 10 20 08 20 05 20 03 20 00 19 56 19 52 19 48 19 44 19 39 19 34 19 29 19 24 19 1845 19 51 19 50 19 50 19 48 19 47 19 45 19 43 19 41 38 35 31 28 24 20 16 11 19 0640 33 33 32 31 30 29 27 25 23 20 18 15 11 19 08 19 04 19 01 18 5735 18 18 18 17 16 15 14 12 10 19 08 19 06 19 04 19 01 18 58 18 55 18 52 4830 19 05 19 05 19 05 19 05 19 04 19 03 19 02 19 01 19 00 18 58 18 56 18 54 18 52 49 47 44 41

N 20 18 43 18 43 18 44 18 44 18 43 18 43 18 42 18 42 18 41 18 40 18 39 18 37 18 36 18 34 18 33 18 31 18 29N 10 24 25 25 25 26 26 25 25 25 24 24 23 22 21 20 19 18

0 18 07 18 08 18 08 18 09 18 09 18 09 18 10 18 10 18 10 18 10 18 10 18 10 18 10 18 09 18 09 18 08 18 08S 10 17 50 17 50 17 51 17 52 17 53 17 53 17 54 17 55 17 55 17 56 17 56 17 57 17 57 17 57 17 58 17 58 17 58

20 31 32 33 34 35 36 37 39 40 41 42 43 44 45 46 47 47

S 30 17 10 17 11 17 13 17 14 17 15 17 17 17 18 17 20 17 22 17 23 17 25 17 27 17 29 17 30 17 32 17 34 17 3635 16 58 16 59 17 01 17 02 17 04 17 06 17 07 17 09 11 14 16 18 20 22 24 27 2940 44 45 16 47 16 49 16 51 16 53 16 55 16 57 17 00 17 02 17 05 17 07 17 10 13 16 18 2145 27 29 31 33 35 37 40 43 16 46 16 49 16 52 16 55 16 59 17 02 17 05 17 09 1250 16 07 16 08 11 13 16 19 22 25 29 33 37 41 45 16 49 16 53 16 57 17 02

S 52 15 57 15 59 16 01 16 04 16 07 16 10 16 13 16 17 16 21 16 25 16 29 16 34 16 38 16 43 16 47 16 52 16 5754 46 48 15 50 15 53 15 56 16 00 16 04 16 08 12 17 21 26 31 36 41 46 5156 33 36 38 41 45 15 49 15 53 15 57 16 02 16 07 12 17 23 28 34 40 4558 19 21 24 28 32 36 41 46 15 51 15 56 16 02 16 08 14 20 26 32 38

S 60 15 02 15 04 15 08 15 12 15 16 15 21 15 26 15 32 15 38 15 44 15 50 15 57 16 03 16 10 16 17 16 24 16 31





◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN 72 //// //// //// ////

70 //// //// //// //// //// //// ////

68 //// //// //// //// //// //// //// 00 32 01 18 01 4466 //// //// //// //// //// //// //// //// //// //// //// 00 55 01 24 01 47 02 05 02 2264 //// //// //// //// //// //// //// //// //// 00 46 01 14 01 34 01 52 02 07 02 21 35 02 4762 //// //// //// //// //// 00 33 00 58 01 16 01 32 01 46 01 59 02 11 02 23 35 02 46 02 57 03 07

N 60 00 57 01 04 01 11 01 20 01 29 01 39 01 49 01 58 02 08 02 18 02 28 02 37 02 47 02 56 03 05 03 14 03 2358 01 45 01 49 01 53 01 59 02 05 02 12 02 19 02 26 34 02 41 02 49 02 57 03 05 03 13 21 29 3656 02 14 02 17 02 21 02 25 30 35 41 02 47 02 53 03 00 03 07 03 13 20 27 34 41 4854 36 39 42 02 45 02 49 02 54 02 59 03 04 03 10 15 21 27 33 39 45 03 51 03 5752 02 54 02 56 02 59 03 02 03 06 03 10 03 14 18 23 28 33 39 44 50 03 55 04 01 04 06

N 50 03 09 03 11 03 13 03 16 03 19 03 23 03 27 03 31 03 35 03 40 03 44 03 49 03 54 03 59 04 04 04 09 04 1445 03 38 03 40 03 42 03 44 03 47 03 50 03 53 03 56 03 59 04 03 04 07 04 10 04 14 04 18 22 26 3040 04 01 04 02 04 04 04 06 04 08 04 10 04 13 04 15 04 18 21 24 27 30 33 36 39 4335 19 20 22 23 25 27 29 31 34 36 38 41 43 46 48 04 51 04 5330 34 04 35 04 36 04 38 04 39 04 41 04 43 04 45 04 47 04 48 04 50 04 52 04 54 04 56 04 58 05 00 05 02

N 20 04 59 05 00 05 01 05 02 05 03 05 04 05 05 05 07 05 08 05 09 05 10 05 12 05 13 05 14 05 15 05 16 05 17N 10 05 19 20 21 22 22 23 24 25 25 26 27 27 28 28 29 29 29

0 37 38 38 39 39 40 40 41 41 41 41 41 41 41 41 40 40S 10 05 54 05 55 05 55 05 55 05 56 05 56 05 56 05 56 05 55 05 55 05 55 05 54 05 53 05 53 05 52 05 51 49

20 06 11 06 12 06 12 06 12 06 12 06 12 06 11 06 11 06 10 06 09 06 08 06 07 06 06 06 04 06 03 06 01 05 59

S 30 06 30 06 30 06 30 06 30 06 30 06 29 06 28 06 27 06 26 06 24 06 23 06 21 06 19 06 17 06 14 06 12 06 0935 41 41 40 40 39 39 37 36 34 33 31 28 26 23 20 17 1440 06 52 06 52 06 52 06 51 06 50 06 49 06 48 46 44 42 39 37 34 31 27 24 2045 07 06 07 05 07 05 07 04 07 03 07 01 07 00 06 58 06 55 06 52 06 49 46 43 39 35 31 2750 22 21 20 19 18 16 14 07 11 07 08 07 05 07 01 06 57 53 49 44 39 34

S 52 07 29 07 28 07 28 07 26 07 25 07 23 07 20 07 17 07 14 07 10 07 07 07 02 06 58 06 53 06 48 06 43 06 3854 37 36 35 34 32 30 27 24 20 17 12 08 07 03 06 58 53 47 4156 46 45 44 43 40 38 35 31 28 23 19 14 09 07 03 06 57 51 4558 07 56 07 55 07 54 07 52 07 50 47 44 40 36 31 26 21 15 09 07 03 06 56 49

S 60 08 08 08 07 08 05 08 03 08 00 07 57 07 53 07 49 07 45 07 39 07 34 07 28 07 22 07 15 07 09 07 02 06 54



◦ h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h m h mN 72 //// //// //// ////

70 //// //// //// //// //// //// 23 2868 //// //// //// //// //// //// //// 23 19 22 43 22 1866 //// //// //// //// //// //// //// //// //// //// //// 23 07 22 40 22 19 22 00 21 4364 //// //// //// //// //// //// //// //// //// 23 17 22 53 22 33 22 16 22 00 21 46 21 32 21 1862 //// //// //// //// //// 23 29 23 08 22 52 22 37 22 23 22 10 21 58 21 46 21 34 22 21 11 20 59

N 60 23 08 23 02 22 55 22 47 22 39 22 30 22 21 22 12 22 02 21 52 21 43 21 33 21 23 21 13 21 03 20 54 20 4458 22 21 22 18 22 14 22 10 22 04 21 58 21 52 21 45 21 37 30 22 21 14 21 05 20 57 20 48 39 3156 21 52 21 50 21 47 21 44 21 40 35 30 24 18 21 12 21 05 20 58 20 50 43 35 28 2054 30 29 26 24 20 16 21 12 21 07 21 02 20 56 20 50 44 38 31 24 17 1052 21 12 21 11 21 09 21 07 21 04 21 01 20 57 20 53 20 48 43 38 33 27 21 15 08 20 02

N 50 20 57 20 56 20 55 20 53 20 51 20 48 20 44 20 41 20 37 20 32 20 28 20 22 20 17 20 12 20 06 20 00 19 5445 28 27 26 25 23 21 20 19 20 16 20 13 20 09 20 06 20 02 19 57 19 53 19 48 19 43 3840 20 06 20 05 20 05 20 04 20 02 20 01 19 59 19 57 19 54 19 51 19 48 19 45 41 38 34 30 2635 19 48 19 47 19 47 19 46 19 45 19 44 43 41 39 37 34 31 28 25 22 19 1530 32 32 32 32 31 30 29 28 26 24 22 20 19 17 19 15 19 12 19 09 19 06

N 20 19 08 19 08 19 08 19 08 19 08 19 07 19 07 19 06 19 05 19 04 19 02 19 01 18 59 18 58 18 56 18 54 18 51N 10 18 47 18 48 18 48 18 48 18 48 18 48 18 48 18 48 18 47 18 47 18 46 18 45 44 43 42 41 40

0 29 30 31 31 31 32 32 32 32 32 32 32 31 31 30 30 29S 10 18 12 18 13 18 14 18 15 18 15 16 17 17 18 18 18 19 19 19 19 19 20

20 17 55 17 56 17 57 17 58 17 59 18 00 18 01 18 02 18 03 18 04 18 05 18 06 18 07 18 08 18 09 18 09 10

S 30 17 37 17 38 17 39 17 40 17 41 17 43 17 44 17 46 17 47 17 49 17 51 17 52 17 54 17 55 17 57 17 59 18 0035 26 27 29 30 32 33 35 37 39 41 43 45 47 49 51 53 17 5540 14 16 17 19 21 23 25 27 29 31 34 36 39 41 44 47 4945 17 01 17 02 17 04 17 06 17 08 17 10 17 13 15 18 21 24 27 30 33 36 40 4350 16 45 16 47 16 49 16 51 16 53 16 56 16 59 17 02 17 05 09 12 16 20 24 27 31 35

S 52 16 38 16 39 16 41 16 44 16 46 16 49 16 53 16 56 16 59 17 03 17 07 17 11 17 15 17 19 17 23 17 28 17 3254 30 31 34 36 39 42 46 49 53 16 57 17 01 17 05 10 14 19 24 2956 21 23 25 28 31 34 38 42 46 50 16 55 16 59 17 04 09 14 19 2558 16 10 13 15 18 21 25 29 33 38 43 48 53 16 58 17 03 09 15 20

S 60 15 59 16 01 16 04 16 07 16 11 16 15 16 19 16 24 16 29 16 34 16 40 16 45 16 51 16 57 17 03 17 09 17 16



20 SUNRISE, 2013

August September Oct.Lat.15 18 21 24 27 30 2 5 8 11 14 17 20 23 26 29 2


70 02 57 03 12 27 40 03 54 04 07 20 32 45 04 57 09 21 32 44 56 08 2068 03 20 32 44 03 56 04 08 19 30 41 52 05 03 13 24 34 45 55 06 1766 38 03 48 03 59 04 09 19 29 39 48 04 58 08 17 27 36 45 55 04 1464 03 52 04 01 04 10 19 28 37 46 04 55 05 03 12 20 29 37 46 55 03 1262 04 04 12 20 28 36 44 52 05 00 08 15 23 31 39 46 54 02 10

N 60 04 14 04 22 04 29 04 36 04 43 04 50 04 57 05 05 05 12 05 19 05 26 05 33 05 40 05 47 05 54 06 01 06 0858 23 30 36 43 49 04 56 05 02 09 15 21 28 34 41 47 53 06 00 0656 31 37 43 49 55 05 00 06 12 18 24 30 36 41 47 53 05 59 0554 38 43 49 54 04 59 05 10 15 21 26 31 37 42 48 53 58 0452 44 49 54 04 59 05 04 09 13 18 23 28 33 38 43 48 53 58 03

N 50 04 50 04 54 04 59 05 03 05 08 05 12 05 17 05 21 05 25 05 30 05 34 05 39 05 43 05 48 05 52 05 57 06 0245 05 02 05 05 05 09 12 16 20 23 27 30 34 37 41 45 48 52 56 05 5940 12 14 17 20 23 26 29 32 34 37 40 43 46 49 51 54 5735 20 22 25 27 29 31 33 36 38 40 42 44 47 49 51 53 5630 27 29 31 33 34 36 38 39 41 42 44 46 47 49 51 52 54

N 20 05 40 05 41 05 42 05 42 05 43 05 44 05 45 05 45 05 46 05 47 05 47 05 48 05 48 05 49 05 50 05 50 05 51N 10 05 51 05 51 05 51 51 51 51 51 51 50 50 50 50 49 49 49 49 49

0 06 01 06 00 06 00 05 59 05 58 05 57 05 56 05 55 54 53 52 51 50 49 48 47 46S 10 11 10 08 06 07 06 05 06 04 06 02 06 00 05 58 05 56 55 53 51 49 47 45 43

20 22 20 17 15 13 10 08 05 06 02 06 00 57 54 51 49 46 43 40

S 30 06 34 06 31 06 27 06 24 06 21 06 18 06 14 06 10 06 07 06 03 05 59 05 56 05 52 05 48 05 44 05 41 05 3735 40 37 33 30 26 22 18 14 09 05 06 01 57 52 48 44 39 3540 48 44 40 35 31 26 22 17 12 07 02 57 53 48 43 38 3345 06 57 06 52 47 42 37 32 27 21 15 10 04 05 59 53 47 41 36 3050 07 08 07 02 06 57 51 45 38 32 26 19 13 06 06 00 53 46 40 33 27

S 52 07 13 07 07 07 01 06 54 06 48 06 41 06 35 06 28 06 21 06 14 06 07 06 00 05 53 05 46 05 39 05 32 05 2554 18 12 05 06 59 52 45 38 30 23 16 08 01 53 46 38 31 2456 24 18 10 07 03 06 56 48 41 33 25 17 09 01 54 46 38 30 2258 31 24 16 08 07 00 52 44 36 27 19 11 02 54 45 37 28 20

S 60 07 39 07 31 07 22 07 14 07 05 06 57 06 48 06 39 06 30 06 21 06 12 06 03 05 54 05 45 05 36 05 26 05 17

SUNSET, 2013

August September Oct.Lat.15 18 21 24 27 30 2 5 8 11 14 17 20 23 26 29 2


70 21 08 20 52 36 21 20 06 19 51 37 22 08 18 54 40 26 12 58 44 31 1768 20 46 32 19 20 06 19 53 40 27 14 19 01 48 36 23 10 58 45 33 2066 29 17 20 05 19 53 42 30 18 07 18 55 44 32 20 09 57 46 34 2364 14 20 04 19 54 43 33 22 11 19 01 50 39 29 18 08 57 46 36 2562 20 03 19 53 44 34 25 15 05 18 56 46 36 26 16 07 57 47 37 27

N 60 19 53 19 44 19 36 19 27 19 18 19 09 19 00 18 51 18 42 18 33 18 24 18 15 18 06 17 56 17 47 17 38 17 2958 44 36 28 20 12 19 04 18 56 47 39 30 22 13 05 56 48 39 3156 36 29 22 15 07 18 59 52 44 36 28 20 12 04 56 48 40 3254 30 23 16 09 19 02 55 48 41 33 26 18 11 03 56 49 41 3452 24 17 11 05 18 58 51 45 38 31 24 17 10 03 56 49 42 35

N 50 19 18 19 12 19 06 19 00 18 54 18 48 18 42 18 35 18 29 18 22 18 16 18 09 18 02 17 56 17 49 17 43 17 3645 19 06 19 01 18 56 18 51 46 41 35 30 24 18 13 07 01 56 50 44 3940 18 57 18 52 48 44 39 35 30 25 20 15 10 05 00 55 50 46 4135 48 45 41 37 33 29 25 21 17 13 08 04 18 00 55 51 47 4330 41 38 35 32 28 25 21 18 14 10 07 03 17 59 55 52 48 44

N 20 18 29 18 26 18 24 18 22 18 19 18 17 18 14 18 12 18 09 18 06 18 04 18 01 17 58 17 55 17 53 17 50 17 47N 10 18 16 15 13 12 10 08 07 05 03 18 01 17 59 57 55 53 52 50

0 18 08 18 07 18 06 18 06 18 05 18 04 18 03 18 02 18 01 18 00 17 59 58 57 56 54 53 53S 10 17 58 17 58 17 58 17 58 17 58 17 58 17 58 17 57 17 57 17 57 57 56 56 56 56 55 55

20 47 48 49 50 51 51 52 53 53 54 54 55 56 56 57 17 58 17 58

S 30 17 36 17 37 17 39 17 41 17 42 17 44 17 46 17 47 17 49 17 50 17 52 17 54 17 55 17 57 17 59 18 00 18 0235 29 31 33 36 38 40 42 44 46 49 51 53 55 57 17 59 02 0440 21 24 27 30 32 35 38 41 44 46 49 52 55 58 18 01 04 0645 12 16 19 23 26 30 33 37 40 44 48 51 55 58 02 06 0950 17 02 06 10 15 19 23 28 32 37 41 46 50 55 59 04 08 13

S 52 16 57 17

Her Majesty’s Nautical Almanac Offi ceastro.ukho.gov.uk/nao/publicat/e_ukaa13.pdf · PREFACE This...

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Transcript of Her Majesty’s Nautical Almanac Offi ceastro.ukho.gov.uk/nao/publicat/e_ukaa13.pdf · PREFACE This...