Generated by PyAlmanac

The Nautical Almanac

2020

Author:Enno Rodegerdts

July 3, 2017

Disclaimer: These are computer generated tables. Use on your own risk. The accuracy has been checked as good as possible but can not be guaranteed. This means, if youget lost on the oceans because of errors in this publication I can not be held liable. For security relevant applications you should buy an official version of the nauticalalmanac. You need one anyway since this publication only contains the daily pages of the Nautical Almanac

January 01, 02 ,03 (Wed., Thu., Fri.)Aries Venus Mars Jupiter Saturn

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 100◦07.1 142◦40.8 -18◦15.9 223◦53.5 -19◦26.7 182◦51.5 -23◦10.8 167◦00.2 -21◦41.01 115◦09.5 157◦40.2 -18◦15.0 238◦54.2 -19◦27.1 197◦53.3 -23◦10.8 182◦02.3 -21◦41.02 130◦12.0 172◦39.6 -18◦14.1 253◦54.9 -19◦27.5 212◦55.2 -23◦10.7 197◦04.5 -21◦41.03 145◦14.4 187◦39.0 -18◦13.2 268◦55.7 -19◦27.9 227◦57.0 -23◦10.7 212◦06.6 -21◦40.94 160◦16.9 202◦38.4 -18◦12.2 283◦56.4 -19◦28.3 242◦58.8 -23◦10.7 227◦08.8 -21◦40.95 175◦19.4 217◦37.8 -18◦11.3 298◦57.1 -19◦28.7 258◦00.7 -23◦10.7 242◦10.9 -21◦40.86 190◦21.8 232◦37.2 -18◦10.4 313◦57.9 -19◦29.1 273◦02.5 -23◦10.6 257◦13.1 -21◦40.87 205◦24.3 247◦36.6 -18◦09.5 328◦58.6 -19◦29.5 288◦04.4 -23◦10.6 272◦15.2 -21◦40.88 220◦26.8 262◦36.0 -18◦08.5 343◦59.3 -19◦29.9 303◦06.2 -23◦10.6 287◦17.4 -21◦40.79 235◦29.2 277◦35.4 -18◦07.6 359◦00.0 -19◦30.3 318◦08.0 -23◦10.6 302◦19.5 -21◦40.710 250◦31.7 292◦34.7 -18◦06.7 14◦00.8 -19◦30.6 333◦09.9 -23◦10.5 317◦21.7 -21◦40.611 265◦34.2 307◦34.1 -18◦05.8 29◦01.5 -19◦31.0 348◦11.7 -23◦10.5 332◦23.8 -21◦40.612 280◦36.6 322◦33.5 -18◦04.8 44◦02.2 -19◦31.4 3◦13.6 -23◦10.5 347◦26.0 -21◦40.513 295◦39.1 337◦32.9 -18◦03.9 59◦03.0 -19◦31.8 18◦15.4 -23◦10.5 2◦28.1 -21◦40.514 310◦41.6 352◦32.3 -18◦03.0 74◦03.7 -19◦32.2 33◦17.2 -23◦10.4 17◦30.3 -21◦40.515 325◦44.0 7◦31.7 -18◦02.1 89◦04.4 -19◦32.6 48◦19.1 -23◦10.4 32◦32.4 -21◦40.416 340◦46.5 22◦31.1 -18◦01.1 104◦05.1 -19◦33.0 63◦20.9 -23◦10.4 47◦34.6 -21◦40.417 355◦48.9 37◦30.5 -18◦00.2 119◦05.9 -19◦33.4 78◦22.7 -23◦10.4 62◦36.7 -21◦40.318 10◦51.4 52◦29.9 -17◦59.3 134◦06.6 -19◦33.8 93◦24.6 -23◦10.3 77◦38.9 -21◦40.319 25◦53.9 67◦29.3 -17◦58.3 149◦07.3 -19◦34.2 108◦26.4 -23◦10.3 92◦41.1 -21◦40.220 40◦56.3 82◦28.7 -17◦57.4 164◦08.1 -19◦34.6 123◦28.3 -23◦10.3 107◦43.2 -21◦40.221 55◦58.8 97◦28.1 -17◦56.5 179◦08.8 -19◦35.0 138◦30.1 -23◦10.2 122◦45.4 -21◦40.222 71◦01.3 112◦27.5 -17◦55.5 194◦09.5 -19◦35.3 153◦31.9 -23◦10.2 137◦47.5 -21◦40.123 86◦03.7 127◦26.9 -17◦54.6 209◦10.2 -19◦35.7 168◦33.8 -23◦10.2 152◦49.7 -21◦40.1Mer.pass.:17:16 v-0.6 d0.9 m-3.9 v0.7 d-0.4 m1.6 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 101◦06.2 142◦26.3 -17◦53.7 224◦11.0 -19◦36.1 183◦35.6 -23◦10.2 167◦51.8 -21◦40.01 116◦08.7 157◦25.7 -17◦52.7 239◦11.7 -19◦36.5 198◦37.5 -23◦10.1 182◦54.0 -21◦40.02 131◦11.1 172◦25.1 -17◦51.8 254◦12.4 -19◦36.9 213◦39.3 -23◦10.1 197◦56.1 -21◦39.93 146◦13.6 187◦24.5 -17◦50.8 269◦13.1 -19◦37.3 228◦41.1 -23◦10.1 212◦58.3 -21◦39.94 161◦16.1 202◦23.9 -17◦49.9 284◦13.9 -19◦37.7 243◦43.0 -23◦10.1 228◦00.4 -21◦39.85 176◦18.5 217◦23.3 -17◦49.0 299◦14.6 -19◦38.1 258◦44.8 -23◦10.0 243◦02.6 -21◦39.86 191◦21.0 232◦22.7 -17◦48.0 314◦15.3 -19◦38.5 273◦46.6 -23◦10.0 258◦04.7 -21◦39.87 206◦23.4 247◦22.1 -17◦47.1 329◦16.1 -19◦38.8 288◦48.5 -23◦10.0 273◦06.9 -21◦39.78 221◦25.9 262◦21.6 -17◦46.1 344◦16.8 -19◦39.2 303◦50.3 -23◦10.0 288◦09.0 -21◦39.79 236◦28.4 277◦21.0 -17◦45.2 359◦17.5 -19◦39.6 318◦52.2 -23◦09.9 303◦11.2 -21◦39.610 251◦30.8 292◦20.4 -17◦44.2 14◦18.2 -19◦40.0 333◦54.0 -23◦09.9 318◦13.3 -21◦39.611 266◦33.3 307◦19.8 -17◦43.3 29◦19.0 -19◦40.4 348◦55.8 -23◦09.9 333◦15.5 -21◦39.512 281◦35.8 322◦19.2 -17◦42.3 44◦19.7 -19◦40.8 3◦57.7 -23◦09.9 348◦17.6 -21◦39.513 296◦38.2 337◦18.6 -17◦41.4 59◦20.4 -19◦41.2 18◦59.5 -23◦09.8 3◦19.8 -21◦39.514 311◦40.7 352◦18.0 -17◦40.4 74◦21.1 -19◦41.6 34◦01.4 -23◦09.8 18◦21.9 -21◦39.415 326◦43.2 7◦17.4 -17◦39.5 89◦21.9 -19◦41.9 49◦03.2 -23◦09.8 33◦24.1 -21◦39.416 341◦45.6 22◦16.8 -17◦38.5 104◦22.6 -19◦42.3 64◦05.0 -23◦09.7 48◦26.2 -21◦39.317 356◦48.1 37◦16.2 -17◦37.6 119◦23.3 -19◦42.7 79◦06.9 -23◦09.7 63◦28.4 -21◦39.318 11◦50.5 52◦15.7 -17◦36.6 134◦24.0 -19◦43.1 94◦08.7 -23◦09.7 78◦30.6 -21◦39.219 26◦53.0 67◦15.1 -17◦35.7 149◦24.8 -19◦43.5 109◦10.5 -23◦09.7 93◦32.7 -21◦39.220 41◦55.5 82◦14.5 -17◦34.7 164◦25.5 -19◦43.9 124◦12.4 -23◦09.6 108◦34.9 -21◦39.221 56◦57.9 97◦13.9 -17◦33.8 179◦26.2 -19◦44.2 139◦14.2 -23◦09.6 123◦37.0 -21◦39.122 72◦00.4 112◦13.3 -17◦32.8 194◦26.9 -19◦44.6 154◦16.1 -23◦09.6 138◦39.2 -21◦39.123 87◦02.9 127◦12.7 -17◦31.9 209◦27.6 -19◦45.0 169◦17.9 -23◦09.6 153◦41.3 -21◦39.0Mer.pass.:17:12 v-0.6 d0.9 m-3.9 v0.7 d-0.4 m1.6 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 102◦05.3 142◦12.2 -17◦30.9 224◦28.4 -19◦45.4 184◦19.7 -23◦09.5 168◦43.5 -21◦39.01 117◦07.8 157◦11.6 -17◦29.9 239◦29.1 -19◦45.8 199◦21.6 -23◦09.5 183◦45.6 -21◦38.92 132◦10.3 172◦11.0 -17◦29.0 254◦29.8 -19◦46.2 214◦23.4 -23◦09.5 198◦47.8 -21◦38.93 147◦12.7 187◦10.4 -17◦28.0 269◦30.5 -19◦46.5 229◦25.3 -23◦09.5 213◦49.9 -21◦38.94 162◦15.2 202◦09.8 -17◦27.1 284◦31.3 -19◦46.9 244◦27.1 -23◦09.4 228◦52.1 -21◦38.85 177◦17.7 217◦09.2 -17◦26.1 299◦32.0 -19◦47.3 259◦28.9 -23◦09.4 243◦54.2 -21◦38.86 192◦20.1 232◦08.7 -17◦25.1 314◦32.7 -19◦47.7 274◦30.8 -23◦09.4 258◦56.4 -21◦38.77 207◦22.6 247◦08.1 -17◦24.2 329◦33.4 -19◦48.1 289◦32.6 -23◦09.3 273◦58.5 -21◦38.78 222◦25.0 262◦07.5 -17◦23.2 344◦34.1 -19◦48.5 304◦34.4 -23◦09.3 289◦00.7 -21◦38.69 237◦27.5 277◦06.9 -17◦22.3 359◦34.9 -19◦48.8 319◦36.3 -23◦09.3 304◦02.8 -21◦38.610 252◦30.0 292◦06.4 -17◦21.3 14◦35.6 -19◦49.2 334◦38.1 -23◦09.3 319◦05.0 -21◦38.611 267◦32.4 307◦05.8 -17◦20.3 29◦36.3 -19◦49.6 349◦40.0 -23◦09.2 334◦07.1 -21◦38.512 282◦34.9 322◦05.2 -17◦19.4 44◦37.0 -19◦50.0 4◦41.8 -23◦09.2 349◦09.3 -21◦38.513 297◦37.4 337◦04.6 -17◦18.4 59◦37.8 -19◦50.4 19◦43.6 -23◦09.2 4◦11.4 -21◦38.414 312◦39.8 352◦04.1 -17◦17.4 74◦38.5 -19◦50.7 34◦45.5 -23◦09.2 19◦13.6 -21◦38.415 327◦42.3 7◦03.5 -17◦16.5 89◦39.2 -19◦51.1 49◦47.3 -23◦09.1 34◦15.7 -21◦38.316 342◦44.8 22◦02.9 -17◦15.5 104◦39.9 -19◦51.5 64◦49.2 -23◦09.1 49◦17.9 -21◦38.317 357◦47.2 37◦02.3 -17◦14.5 119◦40.6 -19◦51.9 79◦51.0 -23◦09.1 64◦20.0 -21◦38.218 12◦49.7 52◦01.8 -17◦13.5 134◦41.4 -19◦52.2 94◦52.8 -23◦09.0 79◦22.2 -21◦38.219 27◦52.2 67◦01.2 -17◦12.6 149◦42.1 -19◦52.6 109◦54.7 -23◦09.0 94◦24.3 -21◦38.220 42◦54.6 82◦00.6 -17◦11.6 164◦42.8 -19◦53.0 124◦56.5 -23◦09.0 109◦26.5 -21◦38.121 57◦57.1 97◦00.1 -17◦10.6 179◦43.5 -19◦53.4 139◦58.4 -23◦09.0 124◦28.6 -21◦38.122 72◦59.5 111◦59.5 -17◦09.6 194◦44.2 -19◦53.8 155◦00.2 -23◦08.9 139◦30.8 -21◦38.023 88◦02.0 126◦58.9 -17◦08.7 209◦45.0 -19◦54.1 170◦02.0 -23◦08.9 154◦32.9 -21◦38.0Mer.pass.:17:08 v-0.6 d1.0 m-3.9 v0.7 d-0.4 m1.6 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.9 29◦12.1Ankaa 353◦11.2 -42◦12.2

Schedar 349◦35.4 56◦39.0Diphda 348◦51.3 -17◦52.9

Achernar 335◦23.2 -57◦08.5Hamal 327◦55.6 23◦33.4Polaris 315◦32.1 89◦21.1Akamar 315◦14.6 -40◦13.8Menkar 314◦10.1 4◦09.9Mirfak 308◦33.6 49◦55.9

Aldebaran 290◦43.9 16◦32.9Rigel 281◦07.4 -8◦10.9

Capella 280◦27.4 46◦01.1Bellatrix 278◦26.9 6◦21.9Elnath 278◦06.6 28◦37.4Alnilam 275◦41.5 -1◦11.5

Betelgeuse 270◦56.1 7◦24.5Canopus 263◦53.6 -52◦42.5

Sirius 258◦29.3 -16◦44.5Adara 255◦08.6 -29◦00.0

Procyon 244◦54.6 5◦10.5Pollux 243◦21.8 27◦58.5Avior 234◦15.6 -59◦34.3Suhail 222◦48.8 -43◦30.7

Miaplacidus 221◦38.1 -69◦47.7Alphard 217◦51.4 -8◦44.7Regulus 207◦38.5 11◦52.1Dubhe 193◦45.8 61◦38.4

Denebola 182◦28.9 14◦27.6Gienah 175◦47.6 -17◦39.0Acrux 173◦04.3 -63◦12.2

Gacrux 171◦55.9 -57◦13.1Alioth 166◦16.8 55◦50.9Spica 158◦26.6 -11◦15.7Alcaid 152◦55.5 49◦12.7Hadar 148◦41.8 -60◦27.7

Menkent 148◦02.4 -36◦27.8Arcturus 145◦51.6 19◦05.0

Rigil Kent. 139◦46.0 -60◦54.6Zubenelg. 137◦00.6 -16◦07.3Kochab 137◦20.7 74◦04.2

Alphecca 126◦07.5 26◦38.9Antares 112◦21.0 -26◦28.4

Atria 107◦19.3 -69◦03.5Sabik 102◦07.7 -15◦44.8

Shaula 96◦16.2 -37◦06.9Rasalhague 96◦02.6 12◦32.8

Etamin 90◦44.6 51◦29.2Kaus Aust. 83◦38.2 -34◦22.4

Vega 80◦36.4 38◦48.1Nunki 75◦53.1 -26◦16.2Altair 62◦04.3 8◦55.3

Peacock 53◦12.7 -56◦40.3Deneb 49◦28.9 45◦21.2

Enif 33◦43.0 9◦58.0Alnair 27◦38.4 -46◦52.1

Fomalhaut 15◦19.2 -29◦31.2Scheat 13◦49.2 28◦11.5Markab 13◦34.0 15◦18.8

2020/1/1 SHA Mer.passVenus 42◦33.8 14:30Mars 123◦46.4 09:04

Jupiter 82◦44.4 11:47Saturn 66◦53.1 12:50

2020/1/2 SHA Mer.passVenus 41◦20.1 14:31Mars 123◦04.8 09:03

Jupiter 82◦29.4 11:44Saturn 66◦45.6 12:47

2020/1/3 SHA Mer.passVenus 40◦06.8 14:32Mars 122◦23.0 09:02

Jupiter 82◦14.4 11:41Saturn 66◦38.1 12:43

Horizontal paralaxVenus: 0.1Mars: 0.1

2

2020 January 01 to Jan. 03

h Sun MoonWed GHA Dec GHA ν Dec d HP0 179◦13.7 -23◦03.5 110◦56.9 15.3 -9◦58.5 10.7 54.31 194◦13.4 -23◦03.3 125◦31.3 15.4 -9◦47.8 10.7 54.32 209◦13.1 -23◦03.1 140◦05.7 15.4 -9◦37.1 10.7 54.33 224◦12.8 -23◦03.0 154◦40.1 15.5 -9◦26.3 10.8 54.34 239◦12.5 -23◦02.8 169◦14.6 15.5 -9◦15.5 10.8 54.35 254◦12.2 -23◦02.6 183◦49.1 15.5 -9◦04.7 10.8 54.36 269◦11.9 -23◦02.4 198◦23.7 15.6 -8◦53.8 10.9 54.37 284◦11.6 -23◦02.2 212◦58.3 15.6 -8◦42.9 10.9 54.28 299◦11.3 -23◦02.0 227◦32.9 15.6 -8◦32.0 10.9 54.29 314◦11.0 -23◦01.8 242◦07.5 15.7 -8◦21.0 11.0 54.210 329◦10.7 -23◦01.6 256◦42.2 15.7 -8◦10.0 11.0 54.211 344◦10.4 -23◦01.4 271◦16.9 15.7 -7◦59.0 11.0 54.212 359◦10.2 -23◦01.2 285◦51.7 15.8 -7◦48.0 11.1 54.213 14◦09.9 -23◦01.0 300◦26.5 15.8 -7◦36.9 11.1 54.214 29◦09.6 -23◦00.8 315◦01.3 15.8 -7◦25.8 11.1 54.215 44◦09.3 -23◦00.6 329◦36.1 15.9 -7◦14.7 11.1 54.216 59◦09.0 -23◦00.4 344◦11.0 15.9 -7◦03.5 11.2 54.217 74◦08.7 -23◦00.2 358◦45.9 15.9 -6◦52.3 11.2 54.218 89◦08.4 -22◦60.0 13◦20.8 15.9 -6◦41.1 11.2 54.219 104◦08.1 -22◦59.7 27◦55.7 16.0 -6◦29.9 11.2 54.220 119◦07.8 -22◦59.5 42◦30.7 16.0 -6◦18.7 11.3 54.221 134◦07.5 -22◦59.3 57◦05.7 16.0 -6◦07.4 11.3 54.222 149◦07.2 -22◦59.1 71◦40.7 16.0 -5◦56.1 11.3 54.223 164◦06.9 -22◦58.9 86◦15.7 16.0 -5◦44.8 11.3 54.2

SD.=16.3 d=0.2 S.D.=14.8

Thu GHA Dec GHA ν Dec d HP0 179◦06.6 -22◦58.7 100◦50.8 16.1 -5◦33.4 11.3 54.21 194◦06.3 -22◦58.5 115◦25.8 16.1 -5◦22.1 11.4 54.22 209◦06.0 -22◦58.3 130◦00.9 16.1 -5◦10.7 11.4 54.23 224◦05.7 -22◦58.1 144◦36.0 16.1 -4◦59.3 11.4 54.24 239◦05.4 -22◦57.9 159◦11.1 16.1 -4◦47.9 11.4 54.25 254◦05.1 -22◦57.6 173◦46.3 16.1 -4◦36.5 11.4 54.26 269◦04.8 -22◦57.4 188◦21.4 16.2 -4◦25.0 11.5 54.27 284◦04.5 -22◦57.2 202◦56.6 16.2 -4◦13.5 11.5 54.28 299◦04.3 -22◦57.0 217◦31.8 16.2 -4◦02.1 11.5 54.29 314◦04.0 -22◦56.8 232◦07.0 16.2 -3◦50.6 11.5 54.210 329◦03.7 -22◦56.6 246◦42.2 16.2 -3◦39.0 11.5 54.211 344◦03.4 -22◦56.3 261◦17.4 16.2 -3◦27.5 11.5 54.212 359◦03.1 -22◦56.1 275◦52.6 16.2 -3◦16.0 11.5 54.213 14◦02.8 -22◦55.9 290◦27.8 16.2 -3◦04.4 11.6 54.214 29◦02.5 -22◦55.7 305◦03.1 16.2 -2◦52.8 11.6 54.215 44◦02.2 -22◦55.5 319◦38.3 16.2 -2◦41.3 11.6 54.216 59◦01.9 -22◦55.2 334◦13.5 16.2 -2◦29.7 11.6 54.217 74◦01.6 -22◦55.0 348◦48.8 16.3 -2◦18.1 11.6 54.218 89◦01.3 -22◦54.8 3◦24.0 16.3 -2◦06.5 11.6 54.219 104◦01.0 -22◦54.6 17◦59.3 16.3 -1◦54.8 11.6 54.220 119◦00.7 -22◦54.3 32◦34.6 16.3 -1◦43.2 11.6 54.221 134◦00.5 -22◦54.1 47◦09.8 16.3 -1◦31.5 11.6 54.322 149◦00.2 -22◦53.9 61◦45.1 16.3 -1◦19.9 11.7 54.323 163◦59.9 -22◦53.7 76◦20.3 16.3 -1◦08.2 11.7 54.3

SD.=16.3 d=0.2 S.D.=14.8

Fri GHA Dec GHA ν Dec d HP0 178◦59.6 -22◦53.4 90◦55.6 16.2 -0◦56.6 11.7 54.31 193◦59.3 -22◦53.2 105◦30.8 16.2 -0◦44.9 11.7 54.32 208◦59.0 -22◦53.0 120◦06.1 16.2 -0◦33.2 11.7 54.33 223◦58.7 -22◦52.7 134◦41.3 16.2 -0◦21.5 11.7 54.34 238◦58.4 -22◦52.5 149◦16.5 16.2 -0◦09.9 11.7 54.35 253◦58.1 -22◦52.3 163◦51.7 16.2 0◦01.8 11.7 54.36 268◦57.8 -22◦52.0 178◦27.0 16.2 0◦13.5 11.7 54.37 283◦57.5 -22◦51.8 193◦02.2 16.2 0◦25.2 11.7 54.38 298◦57.3 -22◦51.6 207◦37.3 16.2 0◦36.9 11.7 54.39 313◦57.0 -22◦51.3 222◦12.5 16.2 0◦48.6 11.7 54.310 328◦56.7 -22◦51.1 236◦47.7 16.2 1◦00.3 11.7 54.411 343◦56.4 -22◦50.8 251◦22.9 16.1 1◦12.0 11.7 54.412 358◦56.1 -22◦50.6 265◦58.0 16.1 1◦23.7 11.7 54.413 13◦55.8 -22◦50.4 280◦33.1 16.1 1◦35.4 11.7 54.414 28◦55.5 -22◦50.1 295◦08.2 16.1 1◦47.1 11.7 54.415 43◦55.2 -22◦49.9 309◦43.3 16.1 1◦58.9 11.7 54.416 58◦54.9 -22◦49.6 324◦18.4 16.1 2◦10.5 11.7 54.417 73◦54.7 -22◦49.4 338◦53.4 16.0 2◦22.2 11.7 54.418 88◦54.4 -22◦49.2 353◦28.5 16.0 2◦33.9 11.7 54.419 103◦54.1 -22◦48.9 8◦03.5 16.0 2◦45.6 11.7 54.520 118◦53.8 -22◦48.7 22◦38.5 16.0 2◦57.3 11.7 54.521 133◦53.5 -22◦48.4 37◦13.4 16.0 3◦09.0 11.7 54.522 148◦53.2 -22◦48.2 51◦48.4 15.9 3◦20.7 11.7 54.523 163◦52.9 -22◦47.9 66◦23.3 15.9 3◦32.3 11.7 54.5

SD.=16.3 d=0.2 S.D.=14.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:23 10:41 –:– –:– 13:27 15:4570 08:05 09:49 –:– –:– 14:19 16:0368 07:50 09:16 –:– –:– 14:52 16:1866 07:37 08:53 10:27 13:41 15:15 16:3164 07:26 08:34 09:49 14:19 15:34 16:4162 07:17 08:18 09:22 14:45 15:49 16:5160 07:09 08:05 09:02 15:06 16:02 16:5958 07:02 07:54 08:45 15:23 16:14 17:0656 06:56 07:44 08:31 15:37 16:24 17:1254 06:50 07:35 08:19 15:49 16:32 17:1852 06:44 07:28 08:08 15:60 16:40 17:2450 06:39 07:20 07:58 16:09 16:47 17:2945 06:28 07:05 07:38 16:29 17:03 17:4040 06:18 06:52 07:22 16:46 17:16 17:5035 06:08 06:40 07:08 16:60 17:28 17:5930 05:60 06:30 06:56 17:12 17:38 18:0820 05:44 06:11 06:35 17:32 17:56 18:2410 05:28 05:54 06:17 17:51 18:13 18:400 05:11 05:38 06:00 18:08 18:30 18:56-10 04:53 05:20 05:43 18:25 18:48 19:15-20 04:31 04:60 05:24 18:43 19:08 19:37-30 04:02 04:35 05:03 19:05 19:32 20:05-35 03:44 04:20 04:50 19:17 19:47 20:23-40 03:21 04:03 04:35 19:32 20:05 20:46-45 02:52 03:41 04:18 19:50 20:27 21:15-50 02:08 03:12 03:56 20:11 20:55 21:59-52 01:42 02:57 03:45 20:22 21:10 22:24-54 01:02 02:40 03:33 20:34 21:27 23:03-56 –:– 02:19 03:19 20:48 21:48 –:–-58 –:– 01:51 03:03 21:04 22:15 –:–-60 –:– 01:08 02:44 21:23 22:58 –:–

Moonrise MoonsetLat. Wed Thu Fri Wed Thu Fri72 12:37 12:18 12:00 21:57 23:42 –:–70 12:26 12:14 12:02 22:06 23:44 –:–68 12:17 12:10 12:03 22:13 23:45 –:–66 12:09 12:07 12:04 22:20 23:46 –:–64 12:03 12:04 12:06 22:25 23:47 –:–62 11:57 12:02 12:06 22:29 23:48 –:–60 11:52 11:60 12:07 22:33 23:48 –:–58 11:48 11:58 12:08 22:36 23:49 –:–56 11:44 11:57 12:09 22:39 23:50 –:–54 11:40 11:55 12:09 22:42 23:50 –:–52 11:37 11:54 12:10 22:44 23:50 –:–50 11:34 11:53 12:10 22:46 23:51 –:–45 11:28 11:50 12:11 22:51 23:52 –:–40 11:23 11:48 12:12 22:55 23:52 –:–35 11:18 11:46 12:13 22:58 23:53 –:–30 11:14 11:44 12:14 23:01 23:53 –:–20 11:07 11:41 12:15 23:06 23:54 –:–10 11:01 11:39 12:16 23:11 23:55 –:–0 10:55 11:36 12:17 23:15 23:56 –:–-10 10:49 11:34 12:18 23:19 23:57 –:–-20 10:43 11:31 12:19 23:24 23:57 –:–-30 10:36 11:28 12:21 23:28 23:58 –:–-35 10:32 11:27 12:21 23:31 23:58 –:–-40 10:27 11:25 12:22 23:34 23:59 –:–-45 10:22 11:22 12:23 23:38 23:60 –:–-50 10:15 11:20 12:24 23:42 –:– 00:00-52 10:12 11:18 12:25 23:44 –:– 00:01-54 10:09 11:17 12:26 23:47 –:– 00:01-56 10:05 11:16 12:26 23:49 –:– 00:01-58 10:01 11:14 12:27 23:52 –:– 00:02-60 09:56 11:12 12:28 23:55 –:– 00:02

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower1 03:05 03:19 12:03 17:05 04:44 6(34%)2 03:34 03:48 12:03 17:46 05:25 7(44%)3 04:02 04:16 12:04 18:26 06:06 8(53%)

3

January 04, 05 ,06 (Sat., Sun., Mon.)Aries Venus Mars Jupiter Saturn

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 103◦04.5 141◦58.4 -17◦07.7 224◦45.7 -19◦54.5 185◦03.9 -23◦08.9 169◦35.1 -21◦37.91 118◦06.9 156◦57.8 -17◦06.7 239◦46.4 -19◦54.9 200◦05.7 -23◦08.8 184◦37.2 -21◦37.92 133◦09.4 171◦57.2 -17◦05.7 254◦47.1 -19◦55.3 215◦07.6 -23◦08.8 199◦39.4 -21◦37.93 148◦11.9 186◦56.7 -17◦04.8 269◦47.8 -19◦55.6 230◦09.4 -23◦08.8 214◦41.6 -21◦37.84 163◦14.3 201◦56.1 -17◦03.8 284◦48.5 -19◦56.0 245◦11.2 -23◦08.8 229◦43.7 -21◦37.85 178◦16.8 216◦55.5 -17◦02.8 299◦49.3 -19◦56.4 260◦13.1 -23◦08.7 244◦45.9 -21◦37.76 193◦19.3 231◦55.0 -17◦01.8 314◦50.0 -19◦56.8 275◦14.9 -23◦08.7 259◦48.0 -21◦37.77 208◦21.7 246◦54.4 -17◦00.8 329◦50.7 -19◦57.1 290◦16.7 -23◦08.7 274◦50.2 -21◦37.68 223◦24.2 261◦53.8 -16◦59.9 344◦51.4 -19◦57.5 305◦18.6 -23◦08.6 289◦52.3 -21◦37.69 238◦26.6 276◦53.3 -16◦58.9 359◦52.1 -19◦57.9 320◦20.4 -23◦08.6 304◦54.5 -21◦37.510 253◦29.1 291◦52.7 -16◦57.9 14◦52.9 -19◦58.3 335◦22.3 -23◦08.6 319◦56.6 -21◦37.511 268◦31.6 306◦52.2 -16◦56.9 29◦53.6 -19◦58.6 350◦24.1 -23◦08.6 334◦58.8 -21◦37.512 283◦34.0 321◦51.6 -16◦55.9 44◦54.3 -19◦59.0 5◦25.9 -23◦08.5 350◦00.9 -21◦37.413 298◦36.5 336◦51.0 -16◦54.9 59◦55.0 -19◦59.4 20◦27.8 -23◦08.5 5◦03.1 -21◦37.414 313◦39.0 351◦50.5 -16◦53.9 74◦55.7 -19◦59.8 35◦29.6 -23◦08.5 20◦05.2 -21◦37.315 328◦41.4 6◦49.9 -16◦53.0 89◦56.4 -20◦00.1 50◦31.5 -23◦08.4 35◦07.4 -21◦37.316 343◦43.9 21◦49.4 -16◦52.0 104◦57.2 -20◦00.5 65◦33.3 -23◦08.4 50◦09.5 -21◦37.217 358◦46.4 36◦48.8 -16◦51.0 119◦57.9 -20◦00.9 80◦35.1 -23◦08.4 65◦11.7 -21◦37.218 13◦48.8 51◦48.3 -16◦50.0 134◦58.6 -20◦01.2 95◦37.0 -23◦08.4 80◦13.8 -21◦37.219 28◦51.3 66◦47.7 -16◦49.0 149◦59.3 -20◦01.6 110◦38.8 -23◦08.3 95◦16.0 -21◦37.120 43◦53.8 81◦47.1 -16◦48.0 165◦00.0 -20◦02.0 125◦40.7 -23◦08.3 110◦18.1 -21◦37.121 58◦56.2 96◦46.6 -16◦47.0 180◦00.7 -20◦02.4 140◦42.5 -23◦08.3 125◦20.3 -21◦37.022 73◦58.7 111◦46.0 -16◦46.0 195◦01.4 -20◦02.7 155◦44.3 -23◦08.2 140◦22.4 -21◦37.023 89◦01.1 126◦45.5 -16◦45.0 210◦02.2 -20◦03.1 170◦46.2 -23◦08.2 155◦24.6 -21◦36.9Mer.pass.:17:04 v-0.6 d1.0 m-3.9 v0.7 d-0.4 m1.6 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 104◦03.6 141◦44.9 -16◦44.0 225◦02.9 -20◦03.5 185◦48.0 -23◦08.2 170◦26.7 -21◦36.91 119◦06.1 156◦44.4 -16◦43.0 240◦03.6 -20◦03.8 200◦49.9 -23◦08.2 185◦28.9 -21◦36.82 134◦08.5 171◦43.8 -16◦42.0 255◦04.3 -20◦04.2 215◦51.7 -23◦08.1 200◦31.0 -21◦36.83 149◦11.0 186◦43.3 -16◦41.0 270◦05.0 -20◦04.6 230◦53.5 -23◦08.1 215◦33.2 -21◦36.84 164◦13.5 201◦42.7 -16◦40.0 285◦05.7 -20◦04.9 245◦55.4 -23◦08.1 230◦35.3 -21◦36.75 179◦15.9 216◦42.2 -16◦39.0 300◦06.4 -20◦05.3 260◦57.2 -23◦08.0 245◦37.5 -21◦36.76 194◦18.4 231◦41.6 -16◦38.0 315◦07.2 -20◦05.7 275◦59.1 -23◦08.0 260◦39.6 -21◦36.67 209◦20.9 246◦41.1 -16◦37.0 330◦07.9 -20◦06.1 291◦00.9 -23◦08.0 275◦41.8 -21◦36.68 224◦23.3 261◦40.5 -16◦36.0 345◦08.6 -20◦06.4 306◦02.7 -23◦08.0 290◦43.9 -21◦36.59 239◦25.8 276◦40.0 -16◦35.0 0◦09.3 -20◦06.8 321◦04.6 -23◦07.9 305◦46.1 -21◦36.510 254◦28.3 291◦39.4 -16◦34.0 15◦10.0 -20◦07.2 336◦06.4 -23◦07.9 320◦48.2 -21◦36.511 269◦30.7 306◦38.9 -16◦33.0 30◦10.7 -20◦07.5 351◦08.3 -23◦07.9 335◦50.4 -21◦36.412 284◦33.2 321◦38.4 -16◦32.0 45◦11.4 -20◦07.9 6◦10.1 -23◦07.8 350◦52.5 -21◦36.413 299◦35.6 336◦37.8 -16◦31.0 60◦12.2 -20◦08.3 21◦11.9 -23◦07.8 5◦54.7 -21◦36.314 314◦38.1 351◦37.3 -16◦30.0 75◦12.9 -20◦08.6 36◦13.8 -23◦07.8 20◦56.8 -21◦36.315 329◦40.6 6◦36.7 -16◦29.0 90◦13.6 -20◦09.0 51◦15.6 -23◦07.7 35◦59.0 -21◦36.216 344◦43.0 21◦36.2 -16◦28.0 105◦14.3 -20◦09.4 66◦17.5 -23◦07.7 51◦01.1 -21◦36.217 359◦45.5 36◦35.6 -16◦27.0 120◦15.0 -20◦09.7 81◦19.3 -23◦07.7 66◦03.3 -21◦36.118 14◦48.0 51◦35.1 -16◦26.0 135◦15.7 -20◦10.1 96◦21.1 -23◦07.7 81◦05.4 -21◦36.119 29◦50.4 66◦34.6 -16◦25.0 150◦16.4 -20◦10.5 111◦23.0 -23◦07.6 96◦07.6 -21◦36.120 44◦52.9 81◦34.0 -16◦24.0 165◦17.1 -20◦10.8 126◦24.8 -23◦07.6 111◦09.7 -21◦36.021 59◦55.4 96◦33.5 -16◦22.9 180◦17.8 -20◦11.2 141◦26.7 -23◦07.6 126◦11.9 -21◦36.022 74◦57.8 111◦32.9 -16◦21.9 195◦18.6 -20◦11.5 156◦28.5 -23◦07.5 141◦14.0 -21◦35.923 90◦00.3 126◦32.4 -16◦20.9 210◦19.3 -20◦11.9 171◦30.3 -23◦07.5 156◦16.2 -21◦35.9Mer.pass.:17:00 v-0.6 d1.0 m-3.9 v0.7 d-0.4 m1.6 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 105◦02.7 141◦31.9 -16◦19.9 225◦20.0 -20◦12.3 186◦32.2 -23◦07.5 171◦18.3 -21◦35.81 120◦05.2 156◦31.3 -16◦18.9 240◦20.7 -20◦12.6 201◦34.0 -23◦07.5 186◦20.5 -21◦35.82 135◦07.7 171◦30.8 -16◦17.9 255◦21.4 -20◦13.0 216◦35.9 -23◦07.4 201◦22.6 -21◦35.73 150◦10.1 186◦30.3 -16◦16.9 270◦22.1 -20◦13.4 231◦37.7 -23◦07.4 216◦24.8 -21◦35.74 165◦12.6 201◦29.7 -16◦15.8 285◦22.8 -20◦13.7 246◦39.5 -23◦07.4 231◦26.9 -21◦35.75 180◦15.1 216◦29.2 -16◦14.8 300◦23.5 -20◦14.1 261◦41.4 -23◦07.3 246◦29.1 -21◦35.66 195◦17.5 231◦28.7 -16◦13.8 315◦24.2 -20◦14.4 276◦43.2 -23◦07.3 261◦31.2 -21◦35.67 210◦20.0 246◦28.1 -16◦12.8 330◦24.9 -20◦14.8 291◦45.1 -23◦07.3 276◦33.4 -21◦35.58 225◦22.5 261◦27.6 -16◦11.8 345◦25.7 -20◦15.2 306◦46.9 -23◦07.2 291◦35.5 -21◦35.59 240◦24.9 276◦27.1 -16◦10.8 0◦26.4 -20◦15.5 321◦48.7 -23◦07.2 306◦37.7 -21◦35.410 255◦27.4 291◦26.5 -16◦09.7 15◦27.1 -20◦15.9 336◦50.6 -23◦07.2 321◦39.8 -21◦35.411 270◦29.9 306◦26.0 -16◦08.7 30◦27.8 -20◦16.3 351◦52.4 -23◦07.1 336◦42.0 -21◦35.312 285◦32.3 321◦25.5 -16◦07.7 45◦28.5 -20◦16.6 6◦54.3 -23◦07.1 351◦44.1 -21◦35.313 300◦34.8 336◦24.9 -16◦06.7 60◦29.2 -20◦17.0 21◦56.1 -23◦07.1 6◦46.3 -21◦35.314 315◦37.2 351◦24.4 -16◦05.6 75◦29.9 -20◦17.3 36◦58.0 -23◦07.1 21◦48.4 -21◦35.215 330◦39.7 6◦23.9 -16◦04.6 90◦30.6 -20◦17.7 51◦59.8 -23◦07.0 36◦50.6 -21◦35.216 345◦42.2 21◦23.4 -16◦03.6 105◦31.3 -20◦18.0 67◦01.6 -23◦07.0 51◦52.7 -21◦35.117 0◦44.6 36◦22.8 -16◦02.6 120◦32.0 -20◦18.4 82◦03.5 -23◦07.0 66◦54.9 -21◦35.118 15◦47.1 51◦22.3 -16◦01.5 135◦32.7 -20◦18.8 97◦05.3 -23◦06.9 81◦57.1 -21◦35.019 30◦49.6 66◦21.8 -16◦00.5 150◦33.4 -20◦19.1 112◦07.2 -23◦06.9 96◦59.2 -21◦35.020 45◦52.0 81◦21.3 -15◦59.5 165◦34.2 -20◦19.5 127◦09.0 -23◦06.9 112◦01.4 -21◦34.921 60◦54.5 96◦20.7 -15◦58.5 180◦34.9 -20◦19.8 142◦10.8 -23◦06.8 127◦03.5 -21◦34.922 75◦57.0 111◦20.2 -15◦57.4 195◦35.6 -20◦20.2 157◦12.7 -23◦06.8 142◦05.7 -21◦34.923 90◦59.4 126◦19.7 -15◦56.4 210◦36.3 -20◦20.6 172◦14.5 -23◦06.8 157◦07.8 -21◦34.8Mer.pass.:16:57 v-0.5 d1.0 m-3.9 v0.7 d-0.4 m1.6 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.9 29◦12.1Ankaa 353◦11.3 -42◦12.2

Schedar 349◦35.5 56◦39.0Diphda 348◦51.3 -17◦52.9

Achernar 335◦23.3 -57◦08.5Hamal 327◦55.6 23◦33.4Polaris 315◦33.3 89◦21.1Akamar 315◦14.7 -40◦13.8Menkar 314◦10.1 4◦09.9Mirfak 308◦33.6 49◦55.9

Aldebaran 290◦43.9 16◦32.9Rigel 281◦07.4 -8◦10.9

Capella 280◦27.4 46◦01.1Bellatrix 278◦26.9 6◦21.9Elnath 278◦06.6 28◦37.4Alnilam 275◦41.5 -1◦11.5

Betelgeuse 270◦56.1 7◦24.5Canopus 263◦53.6 -52◦42.5

Sirius 258◦29.3 -16◦44.6Adara 255◦08.6 -29◦00.1

Procyon 244◦54.6 5◦10.5Pollux 243◦21.8 27◦58.5Avior 234◦15.6 -59◦34.3Suhail 222◦48.8 -43◦30.7

Miaplacidus 221◦38.0 -69◦47.8Alphard 217◦51.4 -8◦44.7Regulus 207◦38.5 11◦52.1Dubhe 193◦45.8 61◦38.4

Denebola 182◦28.9 14◦27.6Gienah 175◦47.6 -17◦39.0Acrux 173◦04.3 -63◦12.2

Gacrux 171◦55.9 -57◦13.1Alioth 166◦16.7 55◦50.9Spica 158◦26.6 -11◦15.8Alcaid 152◦55.4 49◦12.7Hadar 148◦41.7 -60◦27.7

Menkent 148◦02.4 -36◦27.8Arcturus 145◦51.6 19◦05.0

Rigil Kent. 139◦46.0 -60◦54.6Zubenelg. 137◦00.6 -16◦07.3Kochab 137◦20.7 74◦04.2

Alphecca 126◦07.4 26◦38.9Antares 112◦21.0 -26◦28.4

Atria 107◦19.3 -69◦03.5Sabik 102◦07.7 -15◦44.8

Shaula 96◦16.2 -37◦06.9Rasalhague 96◦02.6 12◦32.8

Etamin 90◦44.6 51◦29.2Kaus Aust. 83◦38.2 -34◦22.4

Vega 80◦36.4 38◦48.1Nunki 75◦53.1 -26◦16.2Altair 62◦04.3 8◦55.3

Peacock 53◦12.7 -56◦40.3Deneb 49◦28.9 45◦21.2

Enif 33◦43.0 9◦58.0Alnair 27◦38.4 -46◦52.1

Fomalhaut 15◦19.3 -29◦31.2Scheat 13◦49.2 28◦11.5Markab 13◦34.0 15◦18.7

2020/1/4 SHA Mer.passVenus 38◦53.9 14:33Mars 121◦41.2 09:01

Jupiter 81◦59.4 11:38Saturn 66◦30.6 12:40

2020/1/5 SHA Mer.passVenus 37◦41.3 14:34Mars 120◦59.3 08:59

Jupiter 81◦44.4 11:35Saturn 66◦23.1 12:36

2020/1/6 SHA Mer.passVenus 36◦29.1 14:34Mars 120◦17.2 08:58

Jupiter 81◦29.4 11:32Saturn 66◦15.6 12:33

Horizontal paralaxVenus: 0.1Mars: 0.1

4

2020 January 04 to Jan. 06

h Sun MoonSat GHA Dec GHA ν Dec d HP0 178◦52.6 -22◦47.7 80◦58.2 15.9 3◦44.0 11.7 54.51 193◦52.4 -22◦47.4 95◦33.1 15.8 3◦55.6 11.6 54.52 208◦52.1 -22◦47.2 110◦07.9 15.8 4◦07.3 11.6 54.63 223◦51.8 -22◦46.9 124◦42.7 15.8 4◦18.9 11.6 54.64 238◦51.5 -22◦46.7 139◦17.5 15.8 4◦30.5 11.6 54.65 253◦51.2 -22◦46.4 153◦52.2 15.7 4◦42.1 11.6 54.66 268◦50.9 -22◦46.2 168◦26.9 15.7 4◦53.7 11.6 54.67 283◦50.6 -22◦45.9 183◦01.6 15.7 5◦05.3 11.6 54.68 298◦50.4 -22◦45.7 197◦36.2 15.6 5◦16.9 11.6 54.79 313◦50.1 -22◦45.4 212◦10.8 15.6 5◦28.4 11.6 54.710 328◦49.8 -22◦45.2 226◦45.4 15.6 5◦40.0 11.5 54.711 343◦49.5 -22◦44.9 241◦19.9 15.5 5◦51.5 11.5 54.712 358◦49.2 -22◦44.6 255◦54.4 15.5 6◦03.0 11.5 54.713 13◦48.9 -22◦44.4 270◦28.9 15.4 6◦14.6 11.5 54.714 28◦48.6 -22◦44.1 285◦03.3 15.4 6◦26.0 11.5 54.815 43◦48.4 -22◦43.9 299◦37.7 15.4 6◦37.5 11.5 54.816 58◦48.1 -22◦43.6 314◦12.0 15.3 6◦49.0 11.4 54.817 73◦47.8 -22◦43.3 328◦46.3 15.3 7◦00.4 11.4 54.818 88◦47.5 -22◦43.1 343◦20.6 15.2 7◦11.8 11.4 54.819 103◦47.2 -22◦42.8 357◦54.8 15.2 7◦23.2 11.4 54.920 118◦46.9 -22◦42.6 12◦28.9 15.1 7◦34.6 11.4 54.921 133◦46.7 -22◦42.3 27◦03.0 15.1 7◦45.9 11.3 54.922 148◦46.4 -22◦42.0 41◦37.1 15.0 7◦57.2 11.3 54.923 163◦46.1 -22◦41.8 56◦11.1 15.0 8◦08.5 11.3 54.9

SD.=16.3 d=0.2 S.D.=14.9

Sun GHA Dec GHA ν Dec d HP0 178◦45.8 -22◦41.5 70◦45.0 14.9 8◦19.8 11.3 55.01 193◦45.5 -22◦41.2 85◦19.0 14.9 8◦31.1 11.2 55.02 208◦45.2 -22◦41.0 99◦52.8 14.8 8◦42.3 11.2 55.03 223◦45.0 -22◦40.7 114◦26.6 14.8 8◦53.5 11.2 55.04 238◦44.7 -22◦40.4 129◦00.4 14.7 9◦04.7 11.2 55.05 253◦44.4 -22◦40.1 143◦34.1 14.7 9◦15.8 11.1 55.16 268◦44.1 -22◦39.9 158◦07.7 14.6 9◦27.0 11.1 55.17 283◦43.8 -22◦39.6 172◦41.3 14.6 9◦38.0 11.1 55.18 298◦43.6 -22◦39.3 187◦14.8 14.5 9◦49.1 11.0 55.19 313◦43.3 -22◦39.1 201◦48.3 14.4 10◦00.1 11.0 55.210 328◦43.0 -22◦38.8 216◦21.7 14.4 10◦11.1 11.0 55.211 343◦42.7 -22◦38.5 230◦55.0 14.3 10◦22.1 10.9 55.212 358◦42.4 -22◦38.2 245◦28.3 14.3 10◦33.0 10.9 55.213 13◦42.2 -22◦37.9 260◦01.6 14.2 10◦43.9 10.9 55.214 28◦41.9 -22◦37.7 274◦34.7 14.1 10◦54.8 10.8 55.315 43◦41.6 -22◦37.4 289◦07.8 14.1 11◦05.6 10.8 55.316 58◦41.3 -22◦37.1 303◦40.9 14.0 11◦16.4 10.8 55.317 73◦41.0 -22◦36.8 318◦13.8 13.9 11◦27.1 10.7 55.318 88◦40.8 -22◦36.6 332◦46.7 13.9 11◦37.9 10.7 55.419 103◦40.5 -22◦36.3 347◦19.6 13.8 11◦48.5 10.7 55.420 118◦40.2 -22◦36.0 1◦52.3 13.7 11◦59.2 10.6 55.421 133◦39.9 -22◦35.7 16◦25.0 13.7 12◦09.7 10.6 55.422 148◦39.6 -22◦35.4 30◦57.7 13.6 12◦20.3 10.5 55.523 163◦39.4 -22◦35.1 45◦30.2 13.5 12◦30.8 10.5 55.5

SD.=16.3 d=0.3 S.D.=15.0

Mon GHA Dec GHA ν Dec d HP0 178◦39.1 -22◦34.8 60◦02.7 13.5 12◦41.3 10.4 55.51 193◦38.8 -22◦34.6 74◦35.1 13.4 12◦51.7 10.4 55.62 208◦38.5 -22◦34.3 89◦07.5 13.3 13◦02.0 10.3 55.63 223◦38.3 -22◦34.0 103◦39.7 13.2 13◦12.4 10.3 55.64 238◦38.0 -22◦33.7 118◦11.9 13.2 13◦22.6 10.2 55.65 253◦37.7 -22◦33.4 132◦44.0 13.1 13◦32.9 10.2 55.76 268◦37.4 -22◦33.1 147◦16.1 13.0 13◦43.0 10.1 55.77 283◦37.1 -22◦32.8 161◦48.0 12.9 13◦53.1 10.1 55.78 298◦36.9 -22◦32.5 176◦19.9 12.8 14◦03.2 10.0 55.79 313◦36.6 -22◦32.2 190◦51.7 12.8 14◦13.2 10.0 55.810 328◦36.3 -22◦31.9 205◦23.5 12.7 14◦23.2 9.9 55.811 343◦36.0 -22◦31.7 219◦55.1 12.6 14◦33.1 9.9 55.812 358◦35.8 -22◦31.4 234◦26.7 12.5 14◦43.0 9.8 55.913 13◦35.5 -22◦31.1 248◦58.2 12.4 14◦52.7 9.8 55.914 28◦35.2 -22◦30.8 263◦29.6 12.4 15◦02.5 9.7 55.915 43◦34.9 -22◦30.5 278◦00.9 12.3 15◦12.2 9.6 56.016 58◦34.7 -22◦30.2 292◦32.1 12.2 15◦21.8 9.6 56.017 73◦34.4 -22◦29.9 307◦03.3 12.1 15◦31.3 9.5 56.018 88◦34.1 -22◦29.6 321◦34.4 12.0 15◦40.8 9.5 56.019 103◦33.8 -22◦29.3 336◦05.3 11.9 15◦50.2 9.4 56.120 118◦33.6 -22◦29.0 350◦36.2 11.9 15◦59.6 9.3 56.121 133◦33.3 -22◦28.7 5◦07.1 11.8 16◦08.9 9.3 56.122 148◦33.0 -22◦28.4 19◦37.8 11.7 16◦18.1 9.2 56.223 163◦32.8 -22◦28.1 34◦08.4 11.6 16◦27.3 9.1 56.2

SD.=16.3 d=0.3 S.D.=15.1

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:20 10:31 –:– –:– 13:39 15:5170 08:02 09:44 –:– –:– 14:27 16:0968 07:47 09:13 11:33 12:38 14:58 16:2366 07:35 08:50 10:21 13:50 15:21 16:3564 07:25 08:32 09:45 14:25 15:39 16:4662 07:16 08:17 09:20 14:51 15:54 16:5560 07:08 08:04 09:00 15:11 16:07 17:0258 07:01 07:53 08:44 15:27 16:17 17:0956 06:55 07:44 08:30 15:41 16:27 17:1654 06:49 07:35 08:18 15:53 16:36 17:2152 06:44 07:27 08:07 16:03 16:43 17:2750 06:39 07:20 07:58 16:13 16:51 17:3245 06:28 07:05 07:38 16:32 17:06 17:4340 06:18 06:52 07:22 16:48 17:19 17:5335 06:09 06:41 07:08 17:02 17:30 18:0130 06:01 06:30 06:57 17:14 17:40 18:1020 05:45 06:12 06:36 17:34 17:58 18:2510 05:29 05:56 06:18 17:52 18:15 18:410 05:13 05:39 06:01 18:09 18:31 18:57-10 04:55 05:22 05:44 18:26 18:49 19:16-20 04:33 05:02 05:26 18:44 19:08 19:37-30 04:05 04:38 05:05 19:05 19:32 20:05-35 03:47 04:23 04:52 19:18 19:47 20:23-40 03:24 04:05 04:38 19:32 20:05 20:45-45 02:55 03:44 04:21 19:49 20:26 21:14-50 02:13 03:15 03:59 20:11 20:54 21:57-52 01:48 03:01 03:49 20:21 21:08 22:21-54 01:11 02:44 03:37 20:33 21:25 22:57-56 –:– 02:24 03:24 20:46 21:45 –:–-58 –:– 01:57 03:08 21:02 22:12 –:–-60 –:– 01:17 02:49 21:21 22:50 –:–

Moonrise MoonsetLat. Sat Sun Mon Sat Sun Mon72 11:42 11:20 10:51 01:27 03:17 05:2070 11:50 11:37 11:20 01:22 03:03 04:5368 11:57 11:50 11:42 01:17 02:52 04:3266 12:02 12:00 11:59 01:13 02:42 04:1664 12:07 12:09 12:13 01:10 02:35 04:0362 12:11 12:17 12:25 01:07 02:28 03:5260 12:15 12:24 12:35 01:05 02:22 03:4358 12:18 12:30 12:44 01:02 02:17 03:3456 12:21 12:35 12:52 01:01 02:13 03:2754 12:24 12:40 12:59 00:59 02:09 03:2152 12:26 12:44 13:05 00:57 02:05 03:1550 12:28 12:48 13:11 00:56 02:02 03:1045 12:33 12:57 13:24 00:53 01:55 02:5940 12:37 13:04 13:34 00:50 01:49 02:5035 12:41 13:10 13:43 00:48 01:44 02:4230 12:44 13:16 13:51 00:46 01:40 02:3520 12:49 13:25 14:04 00:43 01:32 02:2310 12:54 13:34 14:16 00:40 01:25 02:130 12:58 13:42 14:27 00:37 01:19 02:03-10 13:03 13:50 14:39 00:34 01:13 01:54-20 13:08 13:58 14:51 00:31 01:06 01:43-30 13:13 14:08 15:05 00:28 00:58 01:32-35 13:17 14:14 15:13 00:26 00:54 01:25-40 13:20 14:20 15:22 00:23 00:49 01:17-45 13:25 14:28 15:33 00:21 00:43 01:08-50 13:30 14:37 15:46 00:18 00:37 00:58-52 13:32 14:41 15:53 00:17 00:34 00:53-54 13:35 14:46 15:60 00:15 00:30 00:47-56 13:38 14:51 16:07 00:13 00:26 00:41-58 13:41 14:57 16:16 00:12 00:22 00:35-60 13:45 15:04 16:26 00:09 00:18 00:27

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower4 04:30 04:43 12:04 19:08 06:47 9(62%)5 04:57 05:10 12:05 19:52 07:30 10(72%)6 05:24 05:37 12:05 20:38 08:15 11(80%)

5

January 07, 08 ,09 (Tue., Wed., Thu.)Aries Venus Mars Jupiter Saturn

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 106◦01.9 141◦19.2 -15◦55.4 225◦37.0 -20◦20.9 187◦16.4 -23◦06.7 172◦10.0 -21◦34.81 121◦04.4 156◦18.6 -15◦54.3 240◦37.7 -20◦21.3 202◦18.2 -23◦06.7 187◦12.1 -21◦34.72 136◦06.8 171◦18.1 -15◦53.3 255◦38.4 -20◦21.6 217◦20.0 -23◦06.7 202◦14.3 -21◦34.73 151◦09.3 186◦17.6 -15◦52.3 270◦39.1 -20◦22.0 232◦21.9 -23◦06.7 217◦16.4 -21◦34.64 166◦11.7 201◦17.1 -15◦51.2 285◦39.8 -20◦22.3 247◦23.7 -23◦06.6 232◦18.6 -21◦34.65 181◦14.2 216◦16.6 -15◦50.2 300◦40.5 -20◦22.7 262◦25.6 -23◦06.6 247◦20.7 -21◦34.56 196◦16.7 231◦16.1 -15◦49.2 315◦41.2 -20◦23.0 277◦27.4 -23◦06.6 262◦22.9 -21◦34.57 211◦19.1 246◦15.5 -15◦48.1 330◦41.9 -20◦23.4 292◦29.2 -23◦06.5 277◦25.0 -21◦34.58 226◦21.6 261◦15.0 -15◦47.1 345◦42.6 -20◦23.8 307◦31.1 -23◦06.5 292◦27.2 -21◦34.49 241◦24.1 276◦14.5 -15◦46.1 0◦43.3 -20◦24.1 322◦32.9 -23◦06.5 307◦29.3 -21◦34.410 256◦26.5 291◦14.0 -15◦45.0 15◦44.0 -20◦24.5 337◦34.8 -23◦06.4 322◦31.5 -21◦34.311 271◦29.0 306◦13.5 -15◦44.0 30◦44.7 -20◦24.8 352◦36.6 -23◦06.4 337◦33.6 -21◦34.312 286◦31.5 321◦13.0 -15◦42.9 45◦45.4 -20◦25.2 7◦38.5 -23◦06.4 352◦35.8 -21◦34.213 301◦33.9 336◦12.4 -15◦41.9 60◦46.2 -20◦25.5 22◦40.3 -23◦06.3 7◦37.9 -21◦34.214 316◦36.4 351◦11.9 -15◦40.9 75◦46.9 -20◦25.9 37◦42.1 -23◦06.3 22◦40.1 -21◦34.115 331◦38.9 6◦11.4 -15◦39.8 90◦47.6 -20◦26.2 52◦44.0 -23◦06.3 37◦42.2 -21◦34.116 346◦41.3 21◦10.9 -15◦38.8 105◦48.3 -20◦26.6 67◦45.8 -23◦06.2 52◦44.4 -21◦34.117 1◦43.8 36◦10.4 -15◦37.7 120◦49.0 -20◦26.9 82◦47.7 -23◦06.2 67◦46.5 -21◦34.018 16◦46.2 51◦09.9 -15◦36.7 135◦49.7 -20◦27.3 97◦49.5 -23◦06.2 82◦48.7 -21◦34.019 31◦48.7 66◦09.4 -15◦35.6 150◦50.4 -20◦27.6 112◦51.3 -23◦06.2 97◦50.8 -21◦33.920 46◦51.2 81◦08.9 -15◦34.6 165◦51.1 -20◦28.0 127◦53.2 -23◦06.1 112◦53.0 -21◦33.921 61◦53.6 96◦08.4 -15◦33.6 180◦51.8 -20◦28.3 142◦55.0 -23◦06.1 127◦55.1 -21◦33.822 76◦56.1 111◦07.8 -15◦32.5 195◦52.5 -20◦28.7 157◦56.9 -23◦06.1 142◦57.3 -21◦33.823 91◦58.6 126◦07.3 -15◦31.5 210◦53.2 -20◦29.0 172◦58.7 -23◦06.0 157◦59.4 -21◦33.7Mer.pass.:16:53 v-0.5 d1.0 m-3.9 v0.7 d-0.4 m1.6 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 107◦01.0 141◦06.8 -15◦30.4 225◦53.9 -20◦29.4 188◦00.6 -23◦06.0 173◦01.6 -21◦33.71 122◦03.5 156◦06.3 -15◦29.4 240◦54.6 -20◦29.7 203◦02.4 -23◦06.0 188◦03.7 -21◦33.62 137◦06.0 171◦05.8 -15◦28.3 255◦55.3 -20◦30.1 218◦04.2 -23◦05.9 203◦05.9 -21◦33.63 152◦08.4 186◦05.3 -15◦27.3 270◦56.0 -20◦30.4 233◦06.1 -23◦05.9 218◦08.0 -21◦33.64 167◦10.9 201◦04.8 -15◦26.2 285◦56.7 -20◦30.8 248◦07.9 -23◦05.9 233◦10.2 -21◦33.55 182◦13.3 216◦04.3 -15◦25.2 300◦57.4 -20◦31.1 263◦09.8 -23◦05.8 248◦12.3 -21◦33.56 197◦15.8 231◦03.8 -15◦24.1 315◦58.1 -20◦31.5 278◦11.6 -23◦05.8 263◦14.5 -21◦33.47 212◦18.3 246◦03.3 -15◦23.1 330◦58.8 -20◦31.8 293◦13.4 -23◦05.8 278◦16.6 -21◦33.48 227◦20.7 261◦02.8 -15◦22.0 345◦59.5 -20◦32.2 308◦15.3 -23◦05.7 293◦18.8 -21◦33.39 242◦23.2 276◦02.3 -15◦20.9 1◦00.2 -20◦32.5 323◦17.1 -23◦05.7 308◦20.9 -21◦33.310 257◦25.7 291◦01.8 -15◦19.9 16◦00.9 -20◦32.9 338◦19.0 -23◦05.7 323◦23.1 -21◦33.211 272◦28.1 306◦01.3 -15◦18.8 31◦01.6 -20◦33.2 353◦20.8 -23◦05.6 338◦25.2 -21◦33.212 287◦30.6 321◦00.8 -15◦17.8 46◦02.3 -20◦33.6 8◦22.7 -23◦05.6 353◦27.4 -21◦33.213 302◦33.1 336◦00.3 -15◦16.7 61◦03.0 -20◦33.9 23◦24.5 -23◦05.6 8◦29.5 -21◦33.114 317◦35.5 350◦59.8 -15◦15.7 76◦03.7 -20◦34.3 38◦26.3 -23◦05.5 23◦31.7 -21◦33.115 332◦38.0 5◦59.3 -15◦14.6 91◦04.4 -20◦34.6 53◦28.2 -23◦05.5 38◦33.8 -21◦33.016 347◦40.5 20◦58.8 -15◦13.5 106◦05.1 -20◦34.9 68◦30.0 -23◦05.5 53◦36.0 -21◦33.017 2◦42.9 35◦58.3 -15◦12.5 121◦05.8 -20◦35.3 83◦31.9 -23◦05.4 68◦38.1 -21◦32.918 17◦45.4 50◦57.8 -15◦11.4 136◦06.5 -20◦35.6 98◦33.7 -23◦05.4 83◦40.3 -21◦32.919 32◦47.8 65◦57.3 -15◦10.4 151◦07.2 -20◦36.0 113◦35.5 -23◦05.4 98◦42.4 -21◦32.820 47◦50.3 80◦56.8 -15◦09.3 166◦07.9 -20◦36.3 128◦37.4 -23◦05.4 113◦44.6 -21◦32.821 62◦52.8 95◦56.3 -15◦08.2 181◦08.6 -20◦36.7 143◦39.2 -23◦05.3 128◦46.7 -21◦32.822 77◦55.2 110◦55.8 -15◦07.2 196◦09.3 -20◦37.0 158◦41.1 -23◦05.3 143◦48.9 -21◦32.723 92◦57.7 125◦55.4 -15◦06.1 211◦10.0 -20◦37.4 173◦42.9 -23◦05.3 158◦51.0 -21◦32.7Mer.pass.:16:49 v-0.5 d1.0 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.2 d0.0 m0.6

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 108◦00.2 140◦54.9 -15◦05.1 226◦10.7 -20◦37.7 188◦44.8 -23◦05.2 173◦53.2 -21◦32.61 123◦02.6 155◦54.4 -15◦04.0 241◦11.4 -20◦38.0 203◦46.6 -23◦05.2 188◦55.3 -21◦32.62 138◦05.1 170◦53.9 -15◦02.9 256◦12.1 -20◦38.4 218◦48.4 -23◦05.2 203◦57.5 -21◦32.53 153◦07.6 185◦53.4 -15◦01.9 271◦12.8 -20◦38.7 233◦50.3 -23◦05.1 218◦59.6 -21◦32.54 168◦10.0 200◦52.9 -15◦00.8 286◦13.5 -20◦39.1 248◦52.1 -23◦05.1 234◦01.8 -21◦32.45 183◦12.5 215◦52.4 -14◦59.7 301◦14.2 -20◦39.4 263◦54.0 -23◦05.1 249◦03.9 -21◦32.46 198◦15.0 230◦51.9 -14◦58.7 316◦14.9 -20◦39.8 278◦55.8 -23◦05.0 264◦06.1 -21◦32.37 213◦17.4 245◦51.4 -14◦57.6 331◦15.6 -20◦40.1 293◦57.7 -23◦05.0 279◦08.2 -21◦32.38 228◦19.9 260◦50.9 -14◦56.5 346◦16.3 -20◦40.4 308◦59.5 -23◦05.0 294◦10.4 -21◦32.39 243◦22.3 275◦50.5 -14◦55.4 1◦17.0 -20◦40.8 324◦01.3 -23◦04.9 309◦12.5 -21◦32.210 258◦24.8 290◦50.0 -14◦54.4 16◦17.7 -20◦41.1 339◦03.2 -23◦04.9 324◦14.7 -21◦32.211 273◦27.3 305◦49.5 -14◦53.3 31◦18.4 -20◦41.5 354◦05.0 -23◦04.9 339◦16.8 -21◦32.112 288◦29.7 320◦49.0 -14◦52.2 46◦19.1 -20◦41.8 9◦06.9 -23◦04.8 354◦19.0 -21◦32.113 303◦32.2 335◦48.5 -14◦51.2 61◦19.8 -20◦42.1 24◦08.7 -23◦04.8 9◦21.1 -21◦32.014 318◦34.7 350◦48.0 -14◦50.1 76◦20.5 -20◦42.5 39◦10.6 -23◦04.8 24◦23.3 -21◦32.015 333◦37.1 5◦47.6 -14◦49.0 91◦21.2 -20◦42.8 54◦12.4 -23◦04.7 39◦25.4 -21◦31.916 348◦39.6 20◦47.1 -14◦47.9 106◦21.8 -20◦43.2 69◦14.2 -23◦04.7 54◦27.6 -21◦31.917 3◦42.1 35◦46.6 -14◦46.9 121◦22.5 -20◦43.5 84◦16.1 -23◦04.7 69◦29.7 -21◦31.818 18◦44.5 50◦46.1 -14◦45.8 136◦23.2 -20◦43.8 99◦17.9 -23◦04.6 84◦31.9 -21◦31.819 33◦47.0 65◦45.6 -14◦44.7 151◦23.9 -20◦44.2 114◦19.8 -23◦04.6 99◦34.0 -21◦31.820 48◦49.5 80◦45.1 -14◦43.6 166◦24.6 -20◦44.5 129◦21.6 -23◦04.6 114◦36.2 -21◦31.721 63◦51.9 95◦44.7 -14◦42.5 181◦25.3 -20◦44.8 144◦23.5 -23◦04.5 129◦38.3 -21◦31.722 78◦54.4 110◦44.2 -14◦41.5 196◦26.0 -20◦45.2 159◦25.3 -23◦04.5 144◦40.5 -21◦31.623 93◦56.8 125◦43.7 -14◦40.4 211◦26.7 -20◦45.5 174◦27.1 -23◦04.5 159◦42.6 -21◦31.6Mer.pass.:16:45 v-0.5 d1.1 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.9 29◦12.1Ankaa 353◦11.3 -42◦12.2

Schedar 349◦35.5 56◦39.0Diphda 348◦51.3 -17◦52.9

Achernar 335◦23.3 -57◦08.5Hamal 327◦55.6 23◦33.4Polaris 315◦34.2 89◦21.1Akamar 315◦14.7 -40◦13.8Menkar 314◦10.2 4◦09.9Mirfak 308◦33.6 49◦55.9

Aldebaran 290◦43.9 16◦32.9Rigel 281◦07.4 -8◦10.9

Capella 280◦27.4 46◦01.1Bellatrix 278◦26.9 6◦21.9Elnath 278◦06.6 28◦37.4Alnilam 275◦41.5 -1◦11.5

Betelgeuse 270◦56.1 7◦24.5Canopus 263◦53.6 -52◦42.5

Sirius 258◦29.3 -16◦44.6Adara 255◦08.6 -29◦00.1

Procyon 244◦54.6 5◦10.5Pollux 243◦21.7 27◦58.5Avior 234◦15.6 -59◦34.3Suhail 222◦48.7 -43◦30.7

Miaplacidus 221◦38.0 -69◦47.8Alphard 217◦51.4 -8◦44.7Regulus 207◦38.4 11◦52.1Dubhe 193◦45.8 61◦38.4

Denebola 182◦28.9 14◦27.6Gienah 175◦47.6 -17◦39.0Acrux 173◦04.2 -63◦12.2

Gacrux 171◦55.8 -57◦13.1Alioth 166◦16.7 55◦50.9Spica 158◦26.5 -11◦15.8Alcaid 152◦55.4 49◦12.7Hadar 148◦41.7 -60◦27.7

Menkent 148◦02.4 -36◦27.8Arcturus 145◦51.6 19◦05.0

Rigil Kent. 139◦45.9 -60◦54.6Zubenelg. 137◦00.6 -16◦07.3Kochab 137◦20.6 74◦04.2

Alphecca 126◦07.4 26◦38.9Antares 112◦21.0 -26◦28.4

Atria 107◦19.3 -69◦03.5Sabik 102◦07.7 -15◦44.8

Shaula 96◦16.2 -37◦06.9Rasalhague 96◦02.6 12◦32.8

Etamin 90◦44.6 51◦29.2Kaus Aust. 83◦38.2 -34◦22.4

Vega 80◦36.4 38◦48.1Nunki 75◦53.1 -26◦16.2Altair 62◦04.3 8◦55.2

Peacock 53◦12.7 -56◦40.3Deneb 49◦28.9 45◦21.2

Enif 33◦43.0 9◦58.0Alnair 27◦38.4 -46◦52.1

Fomalhaut 15◦19.3 -29◦31.2Scheat 13◦49.2 28◦11.5Markab 13◦34.0 15◦18.7

2020/1/7 SHA Mer.passVenus 35◦17.3 14:35Mars 119◦35.1 08:57

Jupiter 81◦14.5 11:29Saturn 66◦08.1 12:30

2020/1/8 SHA Mer.passVenus 34◦05.8 14:36Mars 118◦52.9 08:56

Jupiter 80◦59.5 11:27Saturn 66◦00.5 12:26

2020/1/9 SHA Mer.passVenus 32◦54.7 14:37Mars 118◦10.5 08:55

Jupiter 80◦44.6 11:24Saturn 65◦53.0 12:23

Horizontal paralaxVenus: 0.1Mars: 0.1

6

2020 January 07 to Jan. 09

h Sun MoonTue GHA Dec GHA ν Dec d HP0 178◦32.5 -22◦27.8 48◦39.0 11.5 16◦36.4 9.1 56.21 193◦32.2 -22◦27.5 63◦09.4 11.4 16◦45.4 9.0 56.32 208◦31.9 -22◦27.1 77◦39.8 11.3 16◦54.3 8.9 56.33 223◦31.7 -22◦26.8 92◦10.1 11.2 17◦03.2 8.8 56.34 238◦31.4 -22◦26.5 106◦40.3 11.2 17◦12.0 8.8 56.35 253◦31.1 -22◦26.2 121◦10.4 11.1 17◦20.7 8.7 56.46 268◦30.8 -22◦25.9 135◦40.4 11.0 17◦29.4 8.6 56.47 283◦30.6 -22◦25.6 150◦10.4 10.9 17◦37.9 8.5 56.48 298◦30.3 -22◦25.3 164◦40.2 10.8 17◦46.4 8.5 56.59 313◦30.0 -22◦25.0 179◦10.0 10.7 17◦54.8 8.4 56.510 328◦29.8 -22◦24.7 193◦39.6 10.6 18◦03.2 8.3 56.511 343◦29.5 -22◦24.4 208◦09.2 10.5 18◦11.4 8.2 56.612 358◦29.2 -22◦24.0 222◦38.7 10.4 18◦19.6 8.1 56.613 13◦28.9 -22◦23.7 237◦08.0 10.3 18◦27.7 8.0 56.614 28◦28.7 -22◦23.4 251◦37.3 10.2 18◦35.7 7.9 56.715 43◦28.4 -22◦23.1 266◦06.5 10.2 18◦43.6 7.9 56.716 58◦28.1 -22◦22.8 280◦35.6 10.1 18◦51.4 7.8 56.717 73◦27.9 -22◦22.5 295◦04.6 10.0 18◦59.1 7.7 56.818 88◦27.6 -22◦22.2 309◦33.6 9.9 19◦06.7 7.6 56.819 103◦27.3 -22◦21.8 324◦02.4 9.8 19◦14.3 7.5 56.820 118◦27.1 -22◦21.5 338◦31.1 9.7 19◦21.7 7.4 56.921 133◦26.8 -22◦21.2 352◦59.8 9.6 19◦29.1 7.3 56.922 148◦26.5 -22◦20.9 7◦28.3 9.5 19◦36.3 7.2 56.923 163◦26.3 -22◦20.5 21◦56.8 9.4 19◦43.5 7.1 57.0

SD.=16.3 d=0.3 S.D.=15.3

Wed GHA Dec GHA ν Dec d HP0 178◦26.0 -22◦20.2 36◦25.1 9.3 19◦50.6 7.0 57.01 193◦25.7 -22◦19.9 50◦53.4 9.2 19◦57.5 6.9 57.02 208◦25.5 -22◦19.6 65◦21.6 9.1 20◦04.4 6.8 57.13 223◦25.2 -22◦19.3 79◦49.7 9.0 20◦11.2 6.7 57.14 238◦24.9 -22◦18.9 94◦17.7 9.0 20◦17.8 6.6 57.15 253◦24.7 -22◦18.6 108◦45.6 8.9 20◦24.4 6.5 57.26 268◦24.4 -22◦18.3 123◦13.4 8.8 20◦30.8 6.4 57.27 283◦24.1 -22◦17.9 137◦41.1 8.7 20◦37.1 6.3 57.28 298◦23.9 -22◦17.6 152◦08.8 8.6 20◦43.4 6.2 57.39 313◦23.6 -22◦17.3 166◦36.3 8.5 20◦49.5 6.1 57.310 328◦23.3 -22◦17.0 181◦03.8 8.4 20◦55.5 6.0 57.311 343◦23.1 -22◦16.6 195◦31.1 8.3 21◦01.4 5.8 57.312 358◦22.8 -22◦16.3 209◦58.4 8.2 21◦07.2 5.7 57.413 13◦22.5 -22◦16.0 224◦25.6 8.1 21◦12.9 5.6 57.414 28◦22.3 -22◦15.6 238◦52.7 8.1 21◦18.4 5.5 57.415 43◦22.0 -22◦15.3 253◦19.7 8.0 21◦23.9 5.4 57.516 58◦21.7 -22◦15.0 267◦46.6 7.9 21◦29.2 5.3 57.517 73◦21.5 -22◦14.6 282◦13.5 7.8 21◦34.4 5.1 57.518 88◦21.2 -22◦14.3 296◦40.2 7.7 21◦39.5 5.0 57.619 103◦20.9 -22◦14.0 311◦06.9 7.6 21◦44.4 4.9 57.620 118◦20.7 -22◦13.6 325◦33.5 7.5 21◦49.2 4.8 57.621 133◦20.4 -22◦13.3 340◦00.0 7.5 21◦54.0 4.6 57.722 148◦20.2 -22◦12.9 354◦26.4 7.4 21◦58.5 4.5 57.723 163◦19.9 -22◦12.6 8◦52.8 7.3 22◦03.0 4.4 57.7

SD.=16.3 d=0.3 S.D.=15.5

Thu GHA Dec GHA ν Dec d HP0 178◦19.6 -22◦12.3 23◦19.1 7.2 22◦07.3 4.3 57.81 193◦19.4 -22◦11.9 37◦45.2 7.1 22◦11.5 4.1 57.82 208◦19.1 -22◦11.6 52◦11.3 7.1 22◦15.6 4.0 57.83 223◦18.8 -22◦11.2 66◦37.4 7.0 22◦19.6 3.9 57.94 238◦18.6 -22◦10.9 81◦03.3 6.9 22◦23.4 3.7 57.95 253◦18.3 -22◦10.5 95◦29.2 6.8 22◦27.1 3.6 57.96 268◦18.1 -22◦10.2 109◦55.0 6.8 22◦30.6 3.5 58.07 283◦17.8 -22◦09.8 124◦20.8 6.7 22◦34.0 3.3 58.08 298◦17.5 -22◦09.5 138◦46.4 6.6 22◦37.3 3.2 58.09 313◦17.3 -22◦09.2 153◦12.0 6.6 22◦40.4 3.1 58.110 328◦17.0 -22◦08.8 167◦37.5 6.5 22◦43.4 2.9 58.111 343◦16.8 -22◦08.5 182◦03.0 6.4 22◦46.3 2.8 58.112 358◦16.5 -22◦08.1 196◦28.4 6.4 22◦49.0 2.7 58.113 13◦16.2 -22◦07.8 210◦53.7 6.3 22◦51.6 2.5 58.214 28◦16.0 -22◦07.4 225◦19.0 6.2 22◦54.1 2.4 58.215 43◦15.7 -22◦07.1 239◦44.2 6.2 22◦56.4 2.2 58.216 58◦15.5 -22◦06.7 254◦09.3 6.1 22◦58.5 2.1 58.317 73◦15.2 -22◦06.3 268◦34.4 6.1 23◦00.5 1.9 58.318 88◦14.9 -22◦06.0 282◦59.4 6.0 23◦02.4 1.8 58.319 103◦14.7 -22◦05.6 297◦24.4 5.9 23◦04.1 1.7 58.420 118◦14.4 -22◦05.3 311◦49.3 5.9 23◦05.7 1.5 58.421 133◦14.2 -22◦04.9 326◦14.2 5.8 23◦07.1 1.4 58.422 148◦13.9 -22◦04.6 340◦39.0 5.8 23◦08.4 1.2 58.423 163◦13.7 -22◦04.2 355◦03.7 5.7 23◦09.5 1.1 58.5

SD.=16.3 d=0.3 S.D.=15.8

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:16 10:21 –:– –:– 13:53 15:5870 07:58 09:37 –:– –:– 14:36 16:1568 07:45 09:08 11:12 13:02 15:05 16:2966 07:33 08:47 10:14 13:60 15:27 16:4164 07:23 08:29 09:41 14:33 15:44 16:5062 07:14 08:15 09:16 14:57 15:59 16:5960 07:07 08:02 08:57 15:16 16:11 17:0658 07:00 07:52 08:42 15:32 16:22 17:1356 06:54 07:42 08:28 15:45 16:31 17:1954 06:48 07:34 08:16 15:57 16:39 17:2552 06:43 07:26 08:06 16:07 16:47 17:3050 06:38 07:19 07:57 16:16 16:54 17:3545 06:28 07:04 07:38 16:36 17:09 17:4640 06:18 06:52 07:22 16:51 17:21 17:5535 06:09 06:41 07:09 17:05 17:32 18:0430 06:01 06:31 06:57 17:16 17:42 18:1220 05:46 06:13 06:37 17:36 18:00 18:2710 05:31 05:57 06:19 17:54 18:16 18:420 05:14 05:40 06:03 18:10 18:33 18:59-10 04:56 05:23 05:46 18:27 18:50 19:16-20 04:35 05:04 05:28 18:45 19:09 19:38-30 04:07 04:40 05:07 19:06 19:33 20:05-35 03:50 04:26 04:55 19:18 19:47 20:23-40 03:28 04:08 04:41 19:32 20:04 20:45-45 02:59 03:47 04:24 19:49 20:25 21:13-50 02:18 03:20 04:03 20:10 20:53 21:54-52 01:54 03:06 03:53 20:20 21:06 22:17-54 01:21 02:49 03:41 20:31 21:22 22:50-56 –:– 02:30 03:28 20:44 21:42 –:–-58 –:– 02:04 03:13 20:59 22:07 –:–-60 –:– 01:28 02:54 21:17 22:42 –:–

Moonrise MoonsetLat. Tue Wed Thu Tue Wed Thu72 09:32 –:– –:– 08:19 –:– –:–70 10:53 –:– –:– 06:60 –:– –:–68 11:32 11:14 –:– 06:22 08:28 –:–66 11:59 12:02 12:15 05:56 07:40 09:2464 12:20 12:33 12:60 05:35 07:10 08:3962 12:37 12:56 13:29 05:19 06:47 08:1060 12:51 13:15 13:52 05:05 06:29 07:4758 13:03 13:31 14:10 04:54 06:14 07:2956 13:14 13:44 14:26 04:44 06:01 07:1454 13:23 13:56 14:39 04:35 05:50 07:0152 13:32 14:06 14:51 04:27 05:40 06:5050 13:39 14:15 15:01 04:20 05:31 06:3945 13:56 14:35 15:23 04:05 05:12 06:1840 14:09 14:50 15:40 03:53 04:57 06:0135 14:20 15:04 15:55 03:42 04:44 05:4730 14:30 15:16 16:08 03:33 04:33 05:3420 14:47 15:36 16:30 03:17 04:14 05:1310 15:02 15:53 16:49 03:03 03:57 04:540 15:17 16:10 17:07 02:51 03:42 04:37-10 15:31 16:26 17:24 02:38 03:26 04:19-20 15:46 16:44 17:44 02:24 03:10 04:01-30 16:04 17:05 18:06 02:09 02:51 03:39-35 16:14 17:17 18:19 01:60 02:40 03:27-40 16:26 17:31 18:34 01:49 02:27 03:12-45 16:40 17:47 18:52 01:37 02:12 02:55-50 16:57 18:08 19:14 01:23 01:54 02:34-52 17:05 18:17 19:25 01:16 01:46 02:25-54 17:14 18:28 19:37 01:09 01:36 02:13-56 17:25 18:41 19:51 01:00 01:26 02:01-58 17:36 18:55 20:07 00:51 01:13 01:46-60 17:50 19:12 20:26 00:40 00:59 01:28

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower7 05:50 06:03 12:06 21:29 09:03 12(88%)8 06:16 06:29 12:06 22:23 09:55 13(94%)9 06:42 06:54 12:06 23:20 10:51 14(98%)

7

January 10, 11 ,12 (Fri., Sat., Sun.)Aries Venus Mars Jupiter Saturn

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 108◦59.3 140◦43.2 -14◦39.3 226◦27.4 -20◦45.8 189◦29.0 -23◦04.4 174◦44.8 -21◦31.51 124◦01.8 155◦42.8 -14◦38.2 241◦28.1 -20◦46.2 204◦30.8 -23◦04.4 189◦46.9 -21◦31.52 139◦04.2 170◦42.3 -14◦37.1 256◦28.8 -20◦46.5 219◦32.7 -23◦04.4 204◦49.1 -21◦31.43 154◦06.7 185◦41.8 -14◦36.1 271◦29.5 -20◦46.9 234◦34.5 -23◦04.3 219◦51.2 -21◦31.44 169◦09.2 200◦41.3 -14◦35.0 286◦30.2 -20◦47.2 249◦36.4 -23◦04.3 234◦53.4 -21◦31.35 184◦11.6 215◦40.9 -14◦33.9 301◦30.9 -20◦47.5 264◦38.2 -23◦04.3 249◦55.5 -21◦31.36 199◦14.1 230◦40.4 -14◦32.8 316◦31.6 -20◦47.9 279◦40.1 -23◦04.2 264◦57.7 -21◦31.37 214◦16.6 245◦39.9 -14◦31.7 331◦32.3 -20◦48.2 294◦41.9 -23◦04.2 279◦59.8 -21◦31.28 229◦19.0 260◦39.4 -14◦30.6 346◦33.0 -20◦48.5 309◦43.7 -23◦04.1 295◦01.9 -21◦31.29 244◦21.5 275◦39.0 -14◦29.6 1◦33.6 -20◦48.9 324◦45.6 -23◦04.1 310◦04.1 -21◦31.110 259◦24.0 290◦38.5 -14◦28.5 16◦34.3 -20◦49.2 339◦47.4 -23◦04.1 325◦06.2 -21◦31.111 274◦26.4 305◦38.0 -14◦27.4 31◦35.0 -20◦49.5 354◦49.3 -23◦04.0 340◦08.4 -21◦31.012 289◦28.9 320◦37.6 -14◦26.3 46◦35.7 -20◦49.9 9◦51.1 -23◦04.0 355◦10.5 -21◦31.013 304◦31.3 335◦37.1 -14◦25.2 61◦36.4 -20◦50.2 24◦53.0 -23◦04.0 10◦12.7 -21◦30.914 319◦33.8 350◦36.6 -14◦24.1 76◦37.1 -20◦50.5 39◦54.8 -23◦03.9 25◦14.8 -21◦30.915 334◦36.3 5◦36.1 -14◦23.0 91◦37.8 -20◦50.9 54◦56.6 -23◦03.9 40◦17.0 -21◦30.816 349◦38.7 20◦35.7 -14◦21.9 106◦38.5 -20◦51.2 69◦58.5 -23◦03.9 55◦19.1 -21◦30.817 4◦41.2 35◦35.2 -14◦20.8 121◦39.2 -20◦51.5 85◦00.3 -23◦03.8 70◦21.3 -21◦30.818 19◦43.7 50◦34.7 -14◦19.7 136◦39.9 -20◦51.9 100◦02.2 -23◦03.8 85◦23.4 -21◦30.719 34◦46.1 65◦34.3 -14◦18.7 151◦40.6 -20◦52.2 115◦04.0 -23◦03.8 100◦25.6 -21◦30.720 49◦48.6 80◦33.8 -14◦17.6 166◦41.3 -20◦52.5 130◦05.9 -23◦03.7 115◦27.7 -21◦30.621 64◦51.1 95◦33.4 -14◦16.5 181◦41.9 -20◦52.8 145◦07.7 -23◦03.7 130◦29.9 -21◦30.622 79◦53.5 110◦32.9 -14◦15.4 196◦42.6 -20◦53.2 160◦09.6 -23◦03.7 145◦32.0 -21◦30.523 94◦56.0 125◦32.4 -14◦14.3 211◦43.3 -20◦53.5 175◦11.4 -23◦03.6 160◦34.2 -21◦30.5Mer.pass.:16:41 v-0.5 d1.1 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

Sat GHA GHA Dec GHA Dec GHA Dec GHA Dec0 109◦58.5 140◦32.0 -14◦13.2 226◦44.0 -20◦53.8 190◦13.2 -23◦03.6 175◦36.3 -21◦30.41 125◦00.9 155◦31.5 -14◦12.1 241◦44.7 -20◦54.2 205◦15.1 -23◦03.6 190◦38.5 -21◦30.42 140◦03.4 170◦31.0 -14◦11.0 256◦45.4 -20◦54.5 220◦16.9 -23◦03.5 205◦40.6 -21◦30.33 155◦05.8 185◦30.6 -14◦09.9 271◦46.1 -20◦54.8 235◦18.8 -23◦03.5 220◦42.8 -21◦30.34 170◦08.3 200◦30.1 -14◦08.8 286◦46.8 -20◦55.1 250◦20.6 -23◦03.5 235◦44.9 -21◦30.35 185◦10.8 215◦29.7 -14◦07.7 301◦47.5 -20◦55.5 265◦22.5 -23◦03.4 250◦47.1 -21◦30.26 200◦13.2 230◦29.2 -14◦06.6 316◦48.2 -20◦55.8 280◦24.3 -23◦03.4 265◦49.2 -21◦30.27 215◦15.7 245◦28.7 -14◦05.5 331◦48.8 -20◦56.1 295◦26.2 -23◦03.4 280◦51.4 -21◦30.18 230◦18.2 260◦28.3 -14◦04.4 346◦49.5 -20◦56.5 310◦28.0 -23◦03.3 295◦53.5 -21◦30.19 245◦20.6 275◦27.8 -14◦03.3 1◦50.2 -20◦56.8 325◦29.8 -23◦03.3 310◦55.7 -21◦30.010 260◦23.1 290◦27.4 -14◦02.2 16◦50.9 -20◦57.1 340◦31.7 -23◦03.3 325◦57.8 -21◦30.011 275◦25.6 305◦26.9 -14◦01.1 31◦51.6 -20◦57.4 355◦33.5 -23◦03.2 340◦60.0 -21◦29.912 290◦28.0 320◦26.5 -13◦60.0 46◦52.3 -20◦57.8 10◦35.4 -23◦03.2 356◦02.1 -21◦29.913 305◦30.5 335◦26.0 -13◦58.9 61◦53.0 -20◦58.1 25◦37.2 -23◦03.1 11◦04.3 -21◦29.814 320◦33.0 350◦25.5 -13◦57.8 76◦53.7 -20◦58.4 40◦39.1 -23◦03.1 26◦06.4 -21◦29.815 335◦35.4 5◦25.1 -13◦56.7 91◦54.4 -20◦58.7 55◦40.9 -23◦03.1 41◦08.6 -21◦29.816 350◦37.9 20◦24.6 -13◦55.6 106◦55.0 -20◦59.1 70◦42.8 -23◦03.0 56◦10.7 -21◦29.717 5◦40.3 35◦24.2 -13◦54.5 121◦55.7 -20◦59.4 85◦44.6 -23◦03.0 71◦12.9 -21◦29.718 20◦42.8 50◦23.7 -13◦53.3 136◦56.4 -20◦59.7 100◦46.4 -23◦03.0 86◦15.0 -21◦29.619 35◦45.3 65◦23.3 -13◦52.2 151◦57.1 -21◦00.0 115◦48.3 -23◦02.9 101◦17.2 -21◦29.620 50◦47.7 80◦22.8 -13◦51.1 166◦57.8 -21◦00.4 130◦50.1 -23◦02.9 116◦19.3 -21◦29.521 65◦50.2 95◦22.4 -13◦50.0 181◦58.5 -21◦00.7 145◦52.0 -23◦02.9 131◦21.5 -21◦29.522 80◦52.7 110◦21.9 -13◦48.9 196◦59.2 -21◦01.0 160◦53.8 -23◦02.8 146◦23.6 -21◦29.423 95◦55.1 125◦21.5 -13◦47.8 211◦59.8 -21◦01.3 175◦55.7 -23◦02.8 161◦25.8 -21◦29.4Mer.pass.:16:37 v-0.5 d1.1 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

Sun GHA GHA Dec GHA Dec GHA Dec GHA Dec0 110◦57.6 140◦21.0 -13◦46.7 227◦00.5 -21◦01.6 190◦57.5 -23◦02.8 176◦27.9 -21◦29.31 126◦00.1 155◦20.6 -13◦45.6 242◦01.2 -21◦02.0 205◦59.4 -23◦02.7 191◦30.1 -21◦29.32 141◦02.5 170◦20.1 -13◦44.5 257◦01.9 -21◦02.3 221◦01.2 -23◦02.7 206◦32.2 -21◦29.23 156◦05.0 185◦19.7 -13◦43.4 272◦02.6 -21◦02.6 236◦03.0 -23◦02.7 221◦34.4 -21◦29.24 171◦07.4 200◦19.2 -13◦42.2 287◦03.3 -21◦02.9 251◦04.9 -23◦02.6 236◦36.5 -21◦29.25 186◦09.9 215◦18.8 -13◦41.1 302◦04.0 -21◦03.3 266◦06.7 -23◦02.6 251◦38.7 -21◦29.16 201◦12.4 230◦18.4 -13◦40.0 317◦04.6 -21◦03.6 281◦08.6 -23◦02.5 266◦40.8 -21◦29.17 216◦14.8 245◦17.9 -13◦38.9 332◦05.3 -21◦03.9 296◦10.4 -23◦02.5 281◦43.0 -21◦29.08 231◦17.3 260◦17.5 -13◦37.8 347◦06.0 -21◦04.2 311◦12.3 -23◦02.5 296◦45.1 -21◦29.09 246◦19.8 275◦17.0 -13◦36.7 2◦06.7 -21◦04.5 326◦14.1 -23◦02.4 311◦47.3 -21◦28.910 261◦22.2 290◦16.6 -13◦35.6 17◦07.4 -21◦04.9 341◦16.0 -23◦02.4 326◦49.4 -21◦28.911 276◦24.7 305◦16.1 -13◦34.4 32◦08.1 -21◦05.2 356◦17.8 -23◦02.4 341◦51.6 -21◦28.812 291◦27.2 320◦15.7 -13◦33.3 47◦08.8 -21◦05.5 11◦19.7 -23◦02.3 356◦53.7 -21◦28.813 306◦29.6 335◦15.3 -13◦32.2 62◦09.4 -21◦05.8 26◦21.5 -23◦02.3 11◦55.9 -21◦28.714 321◦32.1 350◦14.8 -13◦31.1 77◦10.1 -21◦06.1 41◦23.3 -23◦02.3 26◦58.0 -21◦28.715 336◦34.6 5◦14.4 -13◦30.0 92◦10.8 -21◦06.4 56◦25.2 -23◦02.2 42◦00.2 -21◦28.716 351◦37.0 20◦13.9 -13◦28.8 107◦11.5 -21◦06.8 71◦27.0 -23◦02.2 57◦02.3 -21◦28.617 6◦39.5 35◦13.5 -13◦27.7 122◦12.2 -21◦07.1 86◦28.9 -23◦02.1 72◦04.5 -21◦28.618 21◦41.9 50◦13.1 -13◦26.6 137◦12.9 -21◦07.4 101◦30.7 -23◦02.1 87◦06.6 -21◦28.519 36◦44.4 65◦12.6 -13◦25.5 152◦13.5 -21◦07.7 116◦32.6 -23◦02.1 102◦08.8 -21◦28.520 51◦46.9 80◦12.2 -13◦24.4 167◦14.2 -21◦08.0 131◦34.4 -23◦02.0 117◦10.9 -21◦28.421 66◦49.3 95◦11.8 -13◦23.2 182◦14.9 -21◦08.3 146◦36.3 -23◦02.0 132◦13.1 -21◦28.422 81◦51.8 110◦11.3 -13◦22.1 197◦15.6 -21◦08.7 161◦38.1 -23◦02.0 147◦15.2 -21◦28.323 96◦54.3 125◦10.9 -13◦21.0 212◦16.3 -21◦09.0 176◦40.0 -23◦01.9 162◦17.4 -21◦28.3Mer.pass.:16:33 v-0.4 d1.1 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦38.9 29◦12.1Ankaa 353◦11.3 -42◦12.2

Schedar 349◦35.5 56◦39.0Diphda 348◦51.3 -17◦52.9

Achernar 335◦23.3 -57◦08.5Hamal 327◦55.6 23◦33.4Polaris 315◦35.2 89◦21.1Akamar 315◦14.7 -40◦13.8Menkar 314◦10.2 4◦09.9Mirfak 308◦33.6 49◦55.9

Aldebaran 290◦43.9 16◦32.9Rigel 281◦07.4 -8◦10.9

Capella 280◦27.4 46◦01.1Bellatrix 278◦26.8 6◦21.9Elnath 278◦06.6 28◦37.4Alnilam 275◦41.5 -1◦11.5

Betelgeuse 270◦56.1 7◦24.5Canopus 263◦53.6 -52◦42.5

Sirius 258◦29.3 -16◦44.6Adara 255◦08.6 -29◦00.1

Procyon 244◦54.6 5◦10.5Pollux 243◦21.7 27◦58.5Avior 234◦15.6 -59◦34.4Suhail 222◦48.7 -43◦30.7

Miaplacidus 221◦38.0 -69◦47.8Alphard 217◦51.4 -8◦44.7Regulus 207◦38.4 11◦52.1Dubhe 193◦45.7 61◦38.4

Denebola 182◦28.9 14◦27.6Gienah 175◦47.5 -17◦39.0Acrux 173◦04.2 -63◦12.2

Gacrux 171◦55.8 -57◦13.1Alioth 166◦16.7 55◦50.9Spica 158◦26.5 -11◦15.8Alcaid 152◦55.4 49◦12.7Hadar 148◦41.6 -60◦27.7

Menkent 148◦02.4 -36◦27.8Arcturus 145◦51.5 19◦05.0

Rigil Kent. 139◦45.9 -60◦54.6Zubenelg. 137◦00.6 -16◦07.3Kochab 137◦20.5 74◦04.2

Alphecca 126◦07.4 26◦38.8Antares 112◦21.0 -26◦28.4

Atria 107◦19.2 -69◦03.5Sabik 102◦07.6 -15◦44.8

Shaula 96◦16.2 -37◦06.9Rasalhague 96◦02.6 12◦32.8

Etamin 90◦44.5 51◦29.1Kaus Aust. 83◦38.2 -34◦22.4

Vega 80◦36.4 38◦48.1Nunki 75◦53.1 -26◦16.2Altair 62◦04.2 8◦55.2

Peacock 53◦12.7 -56◦40.3Deneb 49◦28.9 45◦21.2

Enif 33◦43.0 9◦58.0Alnair 27◦38.4 -46◦52.0

Fomalhaut 15◦19.3 -29◦31.2Scheat 13◦49.2 28◦11.5Markab 13◦34.0 15◦18.7

2020/1/1 SHA Mer.passVenus 31◦43.9 14:38Mars 117◦28.1 08:54

Jupiter 80◦29.7 11:21Saturn 65◦45.4 12:19

2020/1/1 SHA Mer.passVenus 30◦33.5 14:38Mars 116◦45.6 08:53

Jupiter 80◦14.8 11:18Saturn 65◦37.9 12:16

2020/1/1 SHA Mer.passVenus 29◦23.4 14:39Mars 116◦02.9 08:52

Jupiter 79◦59.9 11:15Saturn 65◦30.3 12:12

Horizontal paralaxVenus: 0.1Mars: 0.1

8

2020 January 10 to Jan. 12

h Sun MoonFri GHA Dec GHA ν Dec d HP0 178◦13.4 -22◦03.8 9◦28.5 5.7 23◦10.5 0.9 58.51 193◦13.1 -22◦03.5 23◦53.1 5.6 23◦11.4 0.8 58.52 208◦12.9 -22◦03.1 38◦17.7 5.6 23◦12.1 0.6 58.63 223◦12.6 -22◦02.8 52◦42.3 5.6 23◦12.6 0.5 58.64 238◦12.4 -22◦02.4 67◦06.8 5.5 23◦13.0 0.3 58.65 253◦12.1 -22◦02.0 81◦31.3 5.5 23◦13.2 0.2 58.66 268◦11.9 -22◦01.7 95◦55.8 5.4 23◦13.3 0.0 58.77 283◦11.6 -22◦01.3 110◦20.2 5.4 23◦13.2 -0.1 58.78 298◦11.4 -22◦01.0 124◦44.6 5.4 23◦13.0 -0.3 58.79 313◦11.1 -22◦00.6 139◦09.0 5.3 23◦12.6 -0.5 58.810 328◦10.8 -22◦00.2 153◦33.3 5.3 23◦12.1 -0.6 58.811 343◦10.6 -21◦59.9 167◦57.6 5.3 23◦11.4 -0.8 58.812 358◦10.3 -21◦59.5 182◦21.8 5.3 23◦10.6 -0.9 58.813 13◦10.1 -21◦59.1 196◦46.1 5.2 23◦09.6 -1.1 58.914 28◦09.8 -21◦58.7 211◦10.3 5.2 23◦08.4 -1.2 58.915 43◦09.6 -21◦58.4 225◦34.5 5.2 23◦07.1 -1.4 58.916 58◦09.3 -21◦58.0 239◦58.7 5.2 23◦05.7 -1.5 58.917 73◦09.1 -21◦57.6 254◦22.8 5.1 23◦04.1 -1.7 59.018 88◦08.8 -21◦57.3 268◦47.0 5.1 23◦02.3 -1.8 59.019 103◦08.6 -21◦56.9 283◦11.1 5.1 23◦00.4 -2.0 59.020 118◦08.3 -21◦56.5 297◦35.2 5.1 22◦58.3 -2.2 59.021 133◦08.1 -21◦56.1 311◦59.3 5.1 22◦56.1 -2.3 59.122 148◦07.8 -21◦55.8 326◦23.4 5.1 22◦53.7 -2.5 59.123 163◦07.6 -21◦55.4 340◦47.5 5.1 22◦51.1 -2.6 59.1

SD.=16.3 d=0.4 S.D.=16.0

Sat GHA Dec GHA ν Dec d HP0 178◦07.3 -21◦55.0 355◦11.6 5.1 22◦48.4 -2.8 59.11 193◦07.1 -21◦54.6 9◦35.6 5.1 22◦45.6 -2.9 59.12 208◦06.8 -21◦54.3 23◦59.7 5.1 22◦42.6 -3.1 59.23 223◦06.6 -21◦53.9 38◦23.8 5.1 22◦39.4 -3.2 59.24 238◦06.3 -21◦53.5 52◦47.9 5.1 22◦36.1 -3.4 59.25 253◦06.1 -21◦53.1 67◦12.0 5.1 22◦32.6 -3.6 59.26 268◦05.8 -21◦52.7 81◦36.0 5.1 22◦29.0 -3.7 59.37 283◦05.6 -21◦52.4 96◦00.1 5.1 22◦25.2 -3.9 59.38 298◦05.3 -21◦52.0 110◦24.3 5.1 22◦21.2 -4.0 59.39 313◦05.1 -21◦51.6 124◦48.4 5.1 22◦17.1 -4.2 59.310 328◦04.8 -21◦51.2 139◦12.5 5.1 22◦12.9 -4.3 59.311 343◦04.6 -21◦50.8 153◦36.6 5.2 22◦08.5 -4.5 59.412 358◦04.3 -21◦50.4 168◦00.8 5.2 22◦04.0 -4.6 59.413 13◦04.1 -21◦50.0 182◦25.0 5.2 21◦59.3 -4.8 59.414 28◦03.8 -21◦49.7 196◦49.2 5.2 21◦54.4 -4.9 59.415 43◦03.6 -21◦49.3 211◦13.4 5.2 21◦49.4 -5.1 59.416 58◦03.3 -21◦48.9 225◦37.7 5.3 21◦44.3 -5.2 59.417 73◦03.1 -21◦48.5 240◦01.9 5.3 21◦39.0 -5.4 59.518 88◦02.8 -21◦48.1 254◦26.2 5.3 21◦33.5 -5.5 59.519 103◦02.6 -21◦47.7 268◦50.5 5.3 21◦27.9 -5.7 59.520 118◦02.3 -21◦47.3 283◦14.9 5.4 21◦22.2 -5.8 59.521 133◦02.1 -21◦46.9 297◦39.3 5.4 21◦16.3 -6.0 59.522 148◦01.9 -21◦46.5 312◦03.7 5.4 21◦10.2 -6.1 59.623 163◦01.6 -21◦46.1 326◦28.1 5.5 21◦04.1 -6.3 59.6

SD.=16.3 d=0.4 S.D.=16.1

Sun GHA Dec GHA ν Dec d HP0 178◦01.4 -21◦45.7 340◦52.6 5.5 20◦57.7 -6.4 59.61 193◦01.1 -21◦45.4 355◦17.1 5.5 20◦51.3 -6.5 59.62 208◦00.9 -21◦45.0 9◦41.7 5.6 20◦44.6 -6.7 59.63 223◦00.6 -21◦44.6 24◦06.3 5.6 20◦37.9 -6.8 59.64 238◦00.4 -21◦44.2 38◦30.9 5.7 20◦31.0 -7.0 59.65 253◦00.1 -21◦43.8 52◦55.6 5.7 20◦24.0 -7.1 59.76 267◦59.9 -21◦43.4 67◦20.3 5.7 20◦16.8 -7.2 59.77 282◦59.7 -21◦43.0 81◦45.1 5.8 20◦09.5 -7.4 59.78 297◦59.4 -21◦42.6 96◦09.9 5.8 20◦02.0 -7.5 59.79 312◦59.2 -21◦42.2 110◦34.8 5.9 19◦54.5 -7.6 59.710 327◦58.9 -21◦41.8 124◦59.7 5.9 19◦46.8 -7.8 59.711 342◦58.7 -21◦41.4 139◦24.6 6.0 19◦38.9 -7.9 59.712 357◦58.4 -21◦41.0 153◦49.6 6.0 19◦30.9 -8.0 59.713 12◦58.2 -21◦40.6 168◦14.7 6.1 19◦22.8 -8.2 59.814 27◦58.0 -21◦40.2 182◦39.8 6.1 19◦14.6 -8.3 59.815 42◦57.7 -21◦39.7 197◦04.9 6.2 19◦06.2 -8.4 59.816 57◦57.5 -21◦39.3 211◦30.1 6.2 18◦57.7 -8.6 59.817 72◦57.2 -21◦38.9 225◦55.4 6.3 18◦49.1 -8.7 59.818 87◦57.0 -21◦38.5 240◦20.7 6.3 18◦40.3 -8.8 59.819 102◦56.8 -21◦38.1 254◦46.1 6.4 18◦31.5 -8.9 59.820 117◦56.5 -21◦37.7 269◦11.5 6.5 18◦22.5 -9.1 59.821 132◦56.3 -21◦37.3 283◦37.0 6.5 18◦13.4 -9.2 59.822 147◦56.0 -21◦36.9 298◦02.5 6.6 18◦04.1 -9.3 59.823 162◦55.8 -21◦36.5 312◦28.1 6.6 17◦54.8 -9.4 59.8

SD.=16.3 d=0.4 S.D.=16.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:10 10:09 –:– –:– 14:07 16:0670 07:54 09:30 –:– –:– 14:46 16:2268 07:41 09:03 10:55 13:21 15:13 16:3566 07:30 08:42 10:06 14:10 15:34 16:4664 07:20 08:26 09:35 14:41 15:50 16:5662 07:12 08:12 09:12 15:04 16:04 17:0460 07:05 07:60 08:54 15:22 16:16 17:1158 06:58 07:49 08:39 15:37 16:26 17:1756 06:53 07:40 08:26 15:50 16:35 17:2354 06:47 07:32 08:14 16:01 16:44 17:2952 06:42 07:25 08:05 16:11 16:51 17:3450 06:38 07:18 07:56 16:20 16:58 17:3845 06:27 07:04 07:37 16:39 17:12 17:4940 06:18 06:51 07:21 16:54 17:24 17:5835 06:09 06:41 07:08 17:07 17:35 18:0630 06:01 06:31 06:57 17:19 17:45 18:1420 05:46 06:14 06:37 17:38 18:02 18:2910 05:32 05:58 06:20 17:55 18:18 18:440 05:16 05:42 06:04 18:11 18:34 18:60-10 04:58 05:25 05:48 18:28 18:50 19:17-20 04:37 05:06 05:30 18:45 19:09 19:38-30 04:10 04:43 05:10 19:05 19:32 20:05-35 03:53 04:29 04:58 19:17 19:46 20:22-40 03:31 04:12 04:44 19:31 20:03 20:43-45 03:04 03:51 04:27 19:48 20:24 21:11-50 02:24 03:24 04:07 20:08 20:50 21:50-52 02:02 03:11 03:57 20:18 21:04 22:12-54 01:31 02:55 03:46 20:29 21:19 22:42-56 00:25 02:36 03:33 20:41 21:38 23:39-58 –:– 02:12 03:18 20:56 22:01 –:–-60 –:– 01:39 03:01 21:13 22:34 –:–

Moonrise MoonsetLat. Fri Sat Sun Fri Sat Sun72 –:– –:– –:– –:– –:– –:–70 –:– –:– 15:11 –:– –:– 12:4268 –:– 13:23 16:05 –:– 12:24 11:4666 13:03 14:41 16:37 10:39 11:06 11:1364 13:53 15:18 17:01 09:48 10:28 10:4862 14:25 15:44 17:20 09:17 10:02 10:2960 14:48 16:05 17:35 08:53 09:41 10:1358 15:07 16:22 17:48 08:34 09:24 09:5956 15:23 16:36 17:60 08:18 09:09 09:4754 15:37 16:48 18:10 08:05 08:57 09:3752 15:49 16:59 18:18 07:53 08:46 09:2850 15:59 17:09 18:26 07:42 08:36 09:1945 16:21 17:29 18:43 07:20 08:15 09:0240 16:39 17:45 18:56 07:02 07:58 08:4735 16:54 17:59 19:08 06:47 07:44 08:3530 17:07 18:11 19:18 06:34 07:31 08:2420 17:29 18:31 19:35 06:12 07:10 08:0510 17:48 18:49 19:50 05:53 06:52 07:490 18:06 19:06 20:04 05:35 06:34 07:34-10 18:24 19:22 20:18 05:17 06:17 07:18-20 18:43 19:40 20:33 04:57 05:58 07:02-30 19:05 20:00 20:50 04:35 05:37 06:42-35 19:18 20:12 20:60 04:22 05:24 06:31-40 19:33 20:25 21:11 04:07 05:09 06:18-45 19:51 20:41 21:24 03:49 04:52 06:03-50 20:13 21:01 21:40 03:26 04:30 05:44-52 20:23 21:10 21:47 03:15 04:20 05:35-54 20:35 21:21 21:56 03:03 04:08 05:25-56 20:49 21:33 22:05 02:49 03:55 05:14-58 21:04 21:46 22:15 02:33 03:39 05:01-60 21:23 22:02 22:27 02:14 03:20 04:45

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower10 07:07 07:19 12:07 00:20 11:50 15(100%)11 07:31 07:43 12:07 00:20 12:49 16(99%)12 07:55 08:06 12:08 01:19 13:48 17(96%)

9

January 13, 14 ,15 (Mon., Tue., Wed.)Aries Venus Mars Jupiter Saturn

Mon GHA GHA Dec GHA Dec GHA Dec GHA Dec0 111◦56.7 140◦10.5 -13◦19.9 227◦16.9 -21◦09.3 191◦41.8 -23◦01.9 177◦19.5 -21◦28.21 126◦59.2 155◦10.0 -13◦18.7 242◦17.6 -21◦09.6 206◦43.7 -23◦01.9 192◦21.7 -21◦28.22 142◦01.7 170◦09.6 -13◦17.6 257◦18.3 -21◦09.9 221◦45.5 -23◦01.8 207◦23.8 -21◦28.13 157◦04.1 185◦09.2 -13◦16.5 272◦19.0 -21◦10.2 236◦47.3 -23◦01.8 222◦26.0 -21◦28.14 172◦06.6 200◦08.7 -13◦15.4 287◦19.7 -21◦10.5 251◦49.2 -23◦01.7 237◦28.1 -21◦28.15 187◦09.1 215◦08.3 -13◦14.2 302◦20.4 -21◦10.9 266◦51.0 -23◦01.7 252◦30.3 -21◦28.06 202◦11.5 230◦07.9 -13◦13.1 317◦21.0 -21◦11.2 281◦52.9 -23◦01.7 267◦32.4 -21◦28.07 217◦14.0 245◦07.4 -13◦12.0 332◦21.7 -21◦11.5 296◦54.7 -23◦01.6 282◦34.6 -21◦27.98 232◦16.4 260◦07.0 -13◦10.8 347◦22.4 -21◦11.8 311◦56.6 -23◦01.6 297◦36.7 -21◦27.99 247◦18.9 275◦06.6 -13◦09.7 2◦23.1 -21◦12.1 326◦58.4 -23◦01.6 312◦38.9 -21◦27.810 262◦21.4 290◦06.1 -13◦08.6 17◦23.8 -21◦12.4 342◦00.3 -23◦01.5 327◦41.0 -21◦27.811 277◦23.8 305◦05.7 -13◦07.4 32◦24.4 -21◦12.7 357◦02.1 -23◦01.5 342◦43.2 -21◦27.712 292◦26.3 320◦05.3 -13◦06.3 47◦25.1 -21◦13.0 12◦04.0 -23◦01.5 357◦45.3 -21◦27.713 307◦28.8 335◦04.9 -13◦05.2 62◦25.8 -21◦13.4 27◦05.8 -23◦01.4 12◦47.5 -21◦27.614 322◦31.2 350◦04.4 -13◦04.0 77◦26.5 -21◦13.7 42◦07.7 -23◦01.4 27◦49.6 -21◦27.615 337◦33.7 5◦04.0 -13◦02.9 92◦27.2 -21◦14.0 57◦09.5 -23◦01.3 42◦51.8 -21◦27.516 352◦36.2 20◦03.6 -13◦01.8 107◦27.8 -21◦14.3 72◦11.3 -23◦01.3 57◦53.9 -21◦27.517 7◦38.6 35◦03.2 -13◦00.6 122◦28.5 -21◦14.6 87◦13.2 -23◦01.3 72◦56.1 -21◦27.518 22◦41.1 50◦02.7 -12◦59.5 137◦29.2 -21◦14.9 102◦15.0 -23◦01.2 87◦58.2 -21◦27.419 37◦43.6 65◦02.3 -12◦58.4 152◦29.9 -21◦15.2 117◦16.9 -23◦01.2 103◦00.4 -21◦27.420 52◦46.0 80◦01.9 -12◦57.2 167◦30.6 -21◦15.5 132◦18.7 -23◦01.2 118◦02.5 -21◦27.321 67◦48.5 95◦01.5 -12◦56.1 182◦31.2 -21◦15.8 147◦20.6 -23◦01.1 133◦04.7 -21◦27.322 82◦50.9 110◦01.0 -12◦55.0 197◦31.9 -21◦16.1 162◦22.4 -23◦01.1 148◦06.8 -21◦27.223 97◦53.4 125◦00.6 -12◦53.8 212◦32.6 -21◦16.5 177◦24.3 -23◦01.0 163◦09.0 -21◦27.2Mer.pass.:16:29 v-0.4 d1.1 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

Tue GHA GHA Dec GHA Dec GHA Dec GHA Dec0 112◦55.9 140◦00.2 -12◦52.7 227◦33.3 -21◦16.8 192◦26.1 -23◦01.0 178◦11.1 -21◦27.11 127◦58.3 154◦59.8 -12◦51.5 242◦33.9 -21◦17.1 207◦28.0 -23◦01.0 193◦13.3 -21◦27.12 143◦00.8 169◦59.4 -12◦50.4 257◦34.6 -21◦17.4 222◦29.8 -23◦00.9 208◦15.4 -21◦27.03 158◦03.3 184◦58.9 -12◦49.3 272◦35.3 -21◦17.7 237◦31.7 -23◦00.9 223◦17.6 -21◦27.04 173◦05.7 199◦58.5 -12◦48.1 287◦36.0 -21◦18.0 252◦33.5 -23◦00.9 238◦19.7 -21◦26.95 188◦08.2 214◦58.1 -12◦47.0 302◦36.7 -21◦18.3 267◦35.4 -23◦00.8 253◦21.9 -21◦26.96 203◦10.7 229◦57.7 -12◦45.8 317◦37.3 -21◦18.6 282◦37.2 -23◦00.8 268◦24.0 -21◦26.87 218◦13.1 244◦57.3 -12◦44.7 332◦38.0 -21◦18.9 297◦39.1 -23◦00.7 283◦26.2 -21◦26.88 233◦15.6 259◦56.9 -12◦43.6 347◦38.7 -21◦19.2 312◦40.9 -23◦00.7 298◦28.3 -21◦26.89 248◦18.0 274◦56.4 -12◦42.4 2◦39.4 -21◦19.5 327◦42.8 -23◦00.7 313◦30.5 -21◦26.710 263◦20.5 289◦56.0 -12◦41.3 17◦40.0 -21◦19.8 342◦44.6 -23◦00.6 328◦32.6 -21◦26.711 278◦23.0 304◦55.6 -12◦40.1 32◦40.7 -21◦20.1 357◦46.4 -23◦00.6 343◦34.8 -21◦26.612 293◦25.4 319◦55.2 -12◦39.0 47◦41.4 -21◦20.4 12◦48.3 -23◦00.6 358◦36.9 -21◦26.613 308◦27.9 334◦54.8 -12◦37.8 62◦42.1 -21◦20.7 27◦50.1 -23◦00.5 13◦39.1 -21◦26.514 323◦30.4 349◦54.4 -12◦36.7 77◦42.7 -21◦21.0 42◦52.0 -23◦00.5 28◦41.2 -21◦26.515 338◦32.8 4◦54.0 -12◦35.5 92◦43.4 -21◦21.3 57◦53.8 -23◦00.4 43◦43.4 -21◦26.416 353◦35.3 19◦53.5 -12◦34.4 107◦44.1 -21◦21.6 72◦55.7 -23◦00.4 58◦45.5 -21◦26.417 8◦37.8 34◦53.1 -12◦33.2 122◦44.8 -21◦22.0 87◦57.5 -23◦00.4 73◦47.7 -21◦26.318 23◦40.2 49◦52.7 -12◦32.1 137◦45.4 -21◦22.3 102◦59.4 -23◦00.3 88◦49.8 -21◦26.319 38◦42.7 64◦52.3 -12◦30.9 152◦46.1 -21◦22.6 118◦01.2 -23◦00.3 103◦52.0 -21◦26.220 53◦45.2 79◦51.9 -12◦29.8 167◦46.8 -21◦22.9 133◦03.1 -23◦00.3 118◦54.1 -21◦26.221 68◦47.6 94◦51.5 -12◦28.6 182◦47.5 -21◦23.2 148◦04.9 -23◦00.2 133◦56.3 -21◦26.222 83◦50.1 109◦51.1 -12◦27.5 197◦48.1 -21◦23.5 163◦06.8 -23◦00.2 148◦58.4 -21◦26.123 98◦52.5 124◦50.7 -12◦26.3 212◦48.8 -21◦23.8 178◦08.6 -23◦00.1 164◦00.6 -21◦26.1Mer.pass.:16:25 v-0.4 d1.1 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

Wed GHA GHA Dec GHA Dec GHA Dec GHA Dec0 113◦55.0 139◦50.3 -12◦25.2 227◦49.5 -21◦24.1 193◦10.5 -23◦00.1 179◦02.7 -21◦26.01 128◦57.5 154◦49.9 -12◦24.0 242◦50.2 -21◦24.4 208◦12.3 -23◦00.1 194◦04.9 -21◦26.02 143◦59.9 169◦49.5 -12◦22.9 257◦50.8 -21◦24.7 223◦14.2 -23◦00.0 209◦07.0 -21◦25.93 159◦02.4 184◦49.1 -12◦21.7 272◦51.5 -21◦25.0 238◦16.0 -22◦60.0 224◦09.2 -21◦25.94 174◦04.9 199◦48.7 -12◦20.6 287◦52.2 -21◦25.3 253◦17.9 -22◦59.9 239◦11.3 -21◦25.85 189◦07.3 214◦48.2 -12◦19.4 302◦52.9 -21◦25.6 268◦19.7 -22◦59.9 254◦13.5 -21◦25.86 204◦09.8 229◦47.8 -12◦18.3 317◦53.5 -21◦25.9 283◦21.6 -22◦59.9 269◦15.6 -21◦25.77 219◦12.3 244◦47.4 -12◦17.1 332◦54.2 -21◦26.2 298◦23.4 -22◦59.8 284◦17.8 -21◦25.78 234◦14.7 259◦47.0 -12◦16.0 347◦54.9 -21◦26.5 313◦25.3 -22◦59.8 299◦19.9 -21◦25.69 249◦17.2 274◦46.6 -12◦14.8 2◦55.6 -21◦26.8 328◦27.1 -22◦59.8 314◦22.1 -21◦25.610 264◦19.6 289◦46.2 -12◦13.6 17◦56.2 -21◦27.1 343◦29.0 -22◦59.7 329◦24.2 -21◦25.511 279◦22.1 304◦45.8 -12◦12.5 32◦56.9 -21◦27.3 358◦30.8 -22◦59.7 344◦26.4 -21◦25.512 294◦24.6 319◦45.4 -12◦11.3 47◦57.6 -21◦27.6 13◦32.7 -22◦59.6 359◦28.5 -21◦25.513 309◦27.0 334◦45.0 -12◦10.2 62◦58.2 -21◦27.9 28◦34.5 -22◦59.6 14◦30.7 -21◦25.414 324◦29.5 349◦44.6 -12◦09.0 77◦58.9 -21◦28.2 43◦36.4 -22◦59.6 29◦32.8 -21◦25.415 339◦32.0 4◦44.2 -12◦07.9 92◦59.6 -21◦28.5 58◦38.2 -22◦59.5 44◦35.0 -21◦25.316 354◦34.4 19◦43.8 -12◦06.7 108◦00.3 -21◦28.8 73◦40.0 -22◦59.5 59◦37.1 -21◦25.317 9◦36.9 34◦43.4 -12◦05.5 123◦00.9 -21◦29.1 88◦41.9 -22◦59.4 74◦39.3 -21◦25.218 24◦39.4 49◦43.0 -12◦04.4 138◦01.6 -21◦29.4 103◦43.7 -22◦59.4 89◦41.4 -21◦25.219 39◦41.8 64◦42.6 -12◦03.2 153◦02.3 -21◦29.7 118◦45.6 -22◦59.4 104◦43.6 -21◦25.120 54◦44.3 79◦42.2 -12◦02.0 168◦02.9 -21◦30.0 133◦47.4 -22◦59.3 119◦45.7 -21◦25.121 69◦46.8 94◦41.9 -12◦00.9 183◦03.6 -21◦30.3 148◦49.3 -22◦59.3 134◦47.9 -21◦25.022 84◦49.2 109◦41.5 -11◦59.7 198◦04.3 -21◦30.6 163◦51.1 -22◦59.3 149◦50.0 -21◦25.023 99◦51.7 124◦41.1 -11◦58.6 213◦05.0 -21◦30.9 178◦53.0 -22◦59.2 164◦52.2 -21◦24.9Mer.pass.:16:21 v-0.4 d1.2 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

StarsSHA Dec

Alpheratz 357◦39.0 29◦12.1Ankaa 353◦11.3 -42◦12.2

Schedar 349◦35.5 56◦39.0Diphda 348◦51.3 -17◦52.9

Achernar 335◦23.3 -57◦08.5Hamal 327◦55.6 23◦33.4Polaris 315◦36.5 89◦21.1Akamar 315◦14.7 -40◦13.8Menkar 314◦10.2 4◦09.9Mirfak 308◦33.6 49◦56.0

Aldebaran 290◦43.9 16◦32.9Rigel 281◦07.4 -8◦10.9

Capella 280◦27.4 46◦01.1Bellatrix 278◦26.8 6◦21.9Elnath 278◦06.6 28◦37.4Alnilam 275◦41.5 -1◦11.5

Betelgeuse 270◦56.1 7◦24.5Canopus 263◦53.6 -52◦42.6

Sirius 258◦29.3 -16◦44.6Adara 255◦08.6 -29◦00.1

Procyon 244◦54.6 5◦10.4Pollux 243◦21.7 27◦58.5Avior 234◦15.6 -59◦34.4Suhail 222◦48.7 -43◦30.7

Miaplacidus 221◦38.0 -69◦47.8Alphard 217◦51.3 -8◦44.7Regulus 207◦38.4 11◦52.1Dubhe 193◦45.7 61◦38.4

Denebola 182◦28.8 14◦27.6Gienah 175◦47.5 -17◦39.0Acrux 173◦04.1 -63◦12.2

Gacrux 171◦55.7 -57◦13.2Alioth 166◦16.6 55◦50.9Spica 158◦26.5 -11◦15.8Alcaid 152◦55.3 49◦12.6Hadar 148◦41.6 -60◦27.8

Menkent 148◦02.3 -36◦27.8Arcturus 145◦51.5 19◦05.0

Rigil Kent. 139◦45.8 -60◦54.7Zubenelg. 137◦00.5 -16◦07.3Kochab 137◦20.5 74◦04.2

Alphecca 126◦07.4 26◦38.8Antares 112◦21.0 -26◦28.4

Atria 107◦19.2 -69◦03.5Sabik 102◦07.6 -15◦44.8

Shaula 96◦16.1 -37◦06.9Rasalhague 96◦02.6 12◦32.8

Etamin 90◦44.5 51◦29.1Kaus Aust. 83◦38.2 -34◦22.4

Vega 80◦36.3 38◦48.1Nunki 75◦53.1 -26◦16.2Altair 62◦04.2 8◦55.2

Peacock 53◦12.7 -56◦40.3Deneb 49◦28.9 45◦21.2

Enif 33◦43.0 9◦58.0Alnair 27◦38.4 -46◦52.0

Fomalhaut 15◦19.3 -29◦31.2Scheat 13◦49.2 28◦11.5Markab 13◦34.0 15◦18.7

2020/1/1 SHA Mer.passVenus 28◦13.7 14:40Mars 115◦20.2 08:50

Jupiter 79◦45.1 11:12Saturn 65◦22.8 12:09

2020/1/1 SHA Mer.passVenus 27◦04.3 14:40Mars 114◦37.4 08:49

Jupiter 79◦30.3 11:09Saturn 65◦15.2 12:06

2020/1/1 SHA Mer.passVenus 25◦55.3 14:41Mars 113◦54.5 08:48

Jupiter 79◦15.5 11:06Saturn 65◦07.7 12:02

Horizontal paralaxVenus: 0.1Mars: 0.1

10

2020 January 13 to Jan. 15

h Sun MoonMon GHA Dec GHA ν Dec d HP0 177◦55.6 -21◦36.1 326◦53.8 6.7 17◦45.3 -9.5 59.81 192◦55.3 -21◦35.7 341◦19.5 6.7 17◦35.7 -9.6 59.92 207◦55.1 -21◦35.2 355◦45.3 6.8 17◦26.0 -9.8 59.93 222◦54.8 -21◦34.8 10◦11.1 6.9 17◦16.2 -9.9 59.94 237◦54.6 -21◦34.4 24◦37.0 6.9 17◦06.3 -10.0 59.95 252◦54.4 -21◦34.0 39◦03.0 7.0 16◦56.2 -10.1 59.96 267◦54.1 -21◦33.6 53◦29.0 7.1 16◦46.1 -10.2 59.97 282◦53.9 -21◦33.2 67◦55.1 7.1 16◦35.8 -10.3 59.98 297◦53.7 -21◦32.7 82◦21.3 7.2 16◦25.5 -10.4 59.99 312◦53.4 -21◦32.3 96◦47.5 7.2 16◦15.0 -10.5 59.910 327◦53.2 -21◦31.9 111◦13.7 7.3 16◦04.4 -10.6 59.911 342◦53.0 -21◦31.5 125◦40.1 7.4 15◦53.8 -10.7 59.912 357◦52.7 -21◦31.1 140◦06.5 7.4 15◦43.0 -10.8 59.913 12◦52.5 -21◦30.6 154◦32.9 7.5 15◦32.1 -10.9 59.914 27◦52.2 -21◦30.2 168◦59.4 7.6 15◦21.2 -11.0 59.915 42◦52.0 -21◦29.8 183◦26.0 7.6 15◦10.1 -11.1 59.916 57◦51.8 -21◦29.4 197◦52.7 7.7 14◦58.9 -11.2 59.917 72◦51.5 -21◦29.0 212◦19.4 7.7 14◦47.7 -11.3 59.918 87◦51.3 -21◦28.5 226◦46.2 7.8 14◦36.4 -11.4 59.919 102◦51.1 -21◦28.1 241◦13.0 7.9 14◦24.9 -11.5 59.920 117◦50.8 -21◦27.7 255◦39.9 7.9 14◦13.4 -11.6 59.921 132◦50.6 -21◦27.2 270◦06.9 8.0 14◦01.8 -11.6 59.922 147◦50.4 -21◦26.8 284◦33.9 8.1 13◦50.1 -11.7 59.923 162◦50.1 -21◦26.4 299◦01.0 8.1 13◦38.3 -11.8 59.9

SD.=16.3 d=0.4 S.D.=16.3

Tue GHA Dec GHA ν Dec d HP0 177◦49.9 -21◦26.0 313◦28.2 8.2 13◦26.5 -11.9 59.91 192◦49.7 -21◦25.5 327◦55.4 8.2 13◦14.5 -12.0 59.92 207◦49.4 -21◦25.1 342◦22.7 8.3 13◦02.5 -12.1 59.93 222◦49.2 -21◦24.7 356◦50.0 8.4 12◦50.4 -12.1 59.94 237◦49.0 -21◦24.2 11◦17.4 8.4 12◦38.3 -12.2 59.95 252◦48.8 -21◦23.8 25◦44.9 8.5 12◦26.0 -12.3 59.96 267◦48.5 -21◦23.4 40◦12.4 8.6 12◦13.7 -12.4 59.97 282◦48.3 -21◦22.9 54◦40.0 8.6 12◦01.3 -12.4 59.98 297◦48.1 -21◦22.5 69◦07.6 8.7 11◦48.9 -12.5 59.99 312◦47.8 -21◦22.1 83◦35.3 8.7 11◦36.3 -12.6 59.910 327◦47.6 -21◦21.6 98◦03.1 8.8 11◦23.7 -12.6 59.911 342◦47.4 -21◦21.2 112◦30.9 8.9 11◦11.1 -12.7 59.912 357◦47.1 -21◦20.8 126◦58.8 8.9 10◦58.4 -12.8 59.913 12◦46.9 -21◦20.3 141◦26.8 9.0 10◦45.6 -12.8 59.914 27◦46.7 -21◦19.9 155◦54.8 9.0 10◦32.7 -12.9 59.915 42◦46.5 -21◦19.4 170◦22.8 9.1 10◦19.8 -12.9 59.916 57◦46.2 -21◦19.0 184◦50.9 9.1 10◦06.9 -13.0 59.917 72◦46.0 -21◦18.6 199◦19.1 9.2 9◦53.9 -13.0 59.918 87◦45.8 -21◦18.1 213◦47.3 9.2 9◦40.8 -13.1 59.819 102◦45.5 -21◦17.7 228◦15.6 9.3 9◦27.7 -13.1 59.820 117◦45.3 -21◦17.2 242◦43.9 9.4 9◦14.5 -13.2 59.821 132◦45.1 -21◦16.8 257◦12.3 9.4 9◦01.3 -13.2 59.822 147◦44.9 -21◦16.3 271◦40.7 9.5 8◦48.0 -13.3 59.823 162◦44.6 -21◦15.9 286◦09.2 9.5 8◦34.7 -13.3 59.8

SD.=16.3 d=0.4 S.D.=16.3

Wed GHA Dec GHA ν Dec d HP0 177◦44.4 -21◦15.4 300◦37.8 9.6 8◦21.3 -13.4 59.81 192◦44.2 -21◦15.0 315◦06.3 9.6 8◦07.9 -13.4 59.82 207◦44.0 -21◦14.5 329◦35.0 9.7 7◦54.5 -13.5 59.83 222◦43.7 -21◦14.1 344◦03.7 9.7 7◦41.0 -13.5 59.84 237◦43.5 -21◦13.7 358◦32.4 9.8 7◦27.5 -13.5 59.85 252◦43.3 -21◦13.2 13◦01.2 9.8 7◦13.9 -13.6 59.86 267◦43.1 -21◦12.8 27◦30.0 9.9 7◦00.3 -13.6 59.77 282◦42.8 -21◦12.3 41◦58.9 9.9 6◦46.7 -13.7 59.78 297◦42.6 -21◦11.8 56◦27.8 9.9 6◦33.0 -13.7 59.79 312◦42.4 -21◦11.4 70◦56.8 10.0 6◦19.3 -13.7 59.710 327◦42.2 -21◦10.9 85◦25.8 10.0 6◦05.6 -13.7 59.711 342◦41.9 -21◦10.5 99◦54.8 10.1 5◦51.8 -13.8 59.712 357◦41.7 -21◦10.0 114◦23.9 10.1 5◦38.0 -13.8 59.713 12◦41.5 -21◦09.6 128◦53.0 10.1 5◦24.2 -13.8 59.714 27◦41.3 -21◦09.1 143◦22.2 10.2 5◦10.4 -13.8 59.715 42◦41.1 -21◦08.7 157◦51.4 10.2 4◦56.5 -13.9 59.716 57◦40.8 -21◦08.2 172◦20.7 10.3 4◦42.6 -13.9 59.617 72◦40.6 -21◦07.7 186◦49.9 10.3 4◦28.7 -13.9 59.618 87◦40.4 -21◦07.3 201◦19.3 10.3 4◦14.8 -13.9 59.619 102◦40.2 -21◦06.8 215◦48.6 10.4 4◦00.8 -13.9 59.620 117◦40.0 -21◦06.4 230◦18.0 10.4 3◦46.9 -14.0 59.621 132◦39.7 -21◦05.9 244◦47.4 10.4 3◦32.9 -14.0 59.622 147◦39.5 -21◦05.4 259◦16.9 10.5 3◦18.9 -14.0 59.623 162◦39.3 -21◦05.0 273◦46.4 10.5 3◦04.9 -14.0 59.6

SD.=16.3 d=0.4 S.D.=16.3

Twilight TwilightLat. Naut. Civil Sunrise Sunset Civil Naut.72 08:04 09:58 –:– –:– 14:21 16:1470 07:49 09:22 –:– –:– 14:56 16:3068 07:36 08:57 10:40 13:38 15:22 16:4266 07:26 08:37 09:57 14:21 15:41 16:5264 07:17 08:21 09:29 14:49 15:57 17:0162 07:09 08:08 09:07 15:11 16:10 17:0960 07:02 07:57 08:50 15:28 16:22 17:1658 06:56 07:47 08:35 15:43 16:31 17:2256 06:51 07:38 08:23 15:55 16:40 17:2854 06:45 07:30 08:12 16:06 16:48 17:3352 06:41 07:23 08:02 16:16 16:55 17:3850 06:36 07:17 07:54 16:24 17:01 17:4245 06:26 07:03 07:35 16:43 17:15 17:5240 06:17 06:51 07:21 16:57 17:27 18:0135 06:09 06:40 07:08 17:10 17:38 18:0930 06:02 06:31 06:57 17:21 17:47 18:1620 05:47 06:14 06:38 17:40 18:04 18:3110 05:32 05:58 06:21 17:57 18:19 18:450 05:17 05:43 06:05 18:13 18:35 19:01-10 04:60 05:27 05:49 18:28 18:51 19:18-20 04:39 05:08 05:32 18:45 19:10 19:38-30 04:13 04:45 05:12 19:05 19:32 20:04-35 03:56 04:32 05:00 19:17 19:46 20:21-40 03:35 04:15 04:47 19:30 20:02 20:42-45 03:08 03:55 04:31 19:46 20:22 21:08-50 02:30 03:29 04:11 20:06 20:48 21:46-52 02:09 03:16 04:01 20:15 21:01 22:07-54 01:41 03:01 03:51 20:26 21:15 22:34-56 00:53 02:43 03:39 20:38 21:33 23:19-58 –:– 02:20 03:24 20:52 21:55 –:–-60 –:– 01:50 03:08 21:09 22:25 –:–

Moonrise MoonsetLat. Mon Tue Wed Mon Tue Wed72 17:19 19:50 22:04 12:34 11:56 11:3170 17:52 20:05 22:09 11:59 11:39 11:2468 18:16 20:17 22:12 11:34 11:25 11:1766 18:34 20:27 22:16 11:14 11:14 11:1264 18:49 20:35 22:18 10:58 11:04 11:0862 19:01 20:42 22:20 10:45 10:56 11:0460 19:12 20:48 22:22 10:34 10:49 11:0058 19:21 20:53 22:24 10:24 10:42 10:5756 19:28 20:58 22:26 10:15 10:37 10:5454 19:35 21:02 22:27 10:07 10:32 10:5252 19:42 21:06 22:28 10:01 10:27 10:4950 19:47 21:09 22:30 09:54 10:23 10:4745 19:60 21:16 22:32 09:41 10:14 10:4340 20:10 21:22 22:34 09:29 10:06 10:3935 20:18 21:28 22:36 09:20 09:59 10:3530 20:26 21:32 22:38 09:11 09:54 10:3320 20:38 21:40 22:40 08:56 09:43 10:2710 20:50 21:47 22:43 08:43 09:34 10:230 21:00 21:54 22:45 08:31 09:26 10:18-10 21:11 22:00 22:47 08:19 09:17 10:14-20 21:22 22:07 22:50 08:05 09:08 10:09-30 21:34 22:15 22:53 07:50 08:58 10:04-35 21:42 22:19 22:54 07:41 08:51 10:00-40 21:50 22:25 22:56 07:31 08:44 09:57-45 21:60 22:30 22:58 07:19 08:36 09:53-50 22:11 22:37 23:01 07:04 08:26 09:47-52 22:17 22:41 23:02 06:57 08:21 09:45-54 22:23 22:44 23:03 06:50 08:16 09:42-56 22:29 22:48 23:04 06:41 08:11 09:40-58 22:36 22:52 23:06 06:31 08:04 09:36-60 22:45 22:57 23:08 06:20 07:57 09:33

Sun MoonDay Eqn.of Time Mer. Mer.Pass. Age

00h 12h Pass Upper Lower13 08:18 08:29 12:08 02:17 14:45 18(90%)14 08:41 08:52 12:08 03:13 15:39 19(82%)15 09:02 09:13 12:09 04:06 16:31 20(73%)

11

January 16, 17 ,18 (Thu., Fri., Sat.)Aries Venus Mars Jupiter Saturn

Thu GHA GHA Dec GHA Dec GHA Dec GHA Dec0 114◦54.1 139◦40.7 -11◦57.4 228◦05.6 -21◦31.2 193◦54.8 -22◦59.2 179◦54.3 -21◦24.91 129◦56.6 154◦40.3 -11◦56.2 243◦06.3 -21◦31.5 208◦56.7 -22◦59.1 194◦56.5 -21◦24.82 144◦59.1 169◦39.9 -11◦55.1 258◦07.0 -21◦31.8 223◦58.5 -22◦59.1 209◦58.6 -21◦24.83 160◦01.5 184◦39.5 -11◦53.9 273◦07.6 -21◦32.1 239◦00.4 -22◦59.1 225◦00.8 -21◦24.84 175◦04.0 199◦39.1 -11◦52.7 288◦08.3 -21◦32.4 254◦02.2 -22◦59.0 240◦02.9 -21◦24.75 190◦06.5 214◦38.7 -11◦51.6 303◦09.0 -21◦32.6 269◦04.1 -22◦59.0 255◦05.1 -21◦24.76 205◦08.9 229◦38.3 -11◦50.4 318◦09.6 -21◦32.9 284◦05.9 -22◦58.9 270◦07.2 -21◦24.67 220◦11.4 244◦37.9 -11◦49.2 333◦10.3 -21◦33.2 299◦07.8 -22◦58.9 285◦09.4 -21◦24.68 235◦13.9 259◦37.5 -11◦48.1 348◦11.0 -21◦33.5 314◦09.6 -22◦58.9 300◦11.5 -21◦24.59 250◦16.3 274◦37.2 -11◦46.9 3◦11.7 -21◦33.8 329◦11.5 -22◦58.8 315◦13.7 -21◦24.510 265◦18.8 289◦36.8 -11◦45.7 18◦12.3 -21◦34.1 344◦13.3 -22◦58.8 330◦15.8 -21◦24.411 280◦21.3 304◦36.4 -11◦44.5 33◦13.0 -21◦34.4 359◦15.2 -22◦58.7 345◦18.0 -21◦24.412 295◦23.7 319◦36.0 -11◦43.4 48◦13.7 -21◦34.7 14◦17.0 -22◦58.7 0◦20.1 -21◦24.313 310◦26.2 334◦35.6 -11◦42.2 63◦14.3 -21◦35.0 29◦18.9 -22◦58.7 15◦22.3 -21◦24.314 325◦28.6 349◦35.2 -11◦41.0 78◦15.0 -21◦35.3 44◦20.7 -22◦58.6 30◦24.4 -21◦24.215 340◦31.1 4◦34.8 -11◦39.9 93◦15.7 -21◦35.6 59◦22.6 -22◦58.6 45◦26.6 -21◦24.216 355◦33.6 19◦34.4 -11◦38.7 108◦16.3 -21◦35.8 74◦24.4 -22◦58.5 60◦28.7 -21◦24.117 10◦36.0 34◦34.1 -11◦37.5 123◦17.0 -21◦36.1 89◦26.3 -22◦58.5 75◦30.9 -21◦24.118 25◦38.5 49◦33.7 -11◦36.3 138◦17.7 -21◦36.4 104◦28.1 -22◦58.5 90◦33.0 -21◦24.019 40◦41.0 64◦33.3 -11◦35.2 153◦18.3 -21◦36.7 119◦30.0 -22◦58.4 105◦35.2 -21◦24.020 55◦43.4 79◦32.9 -11◦34.0 168◦19.0 -21◦37.0 134◦31.8 -22◦58.4 120◦37.3 -21◦24.021 70◦45.9 94◦32.5 -11◦32.8 183◦19.7 -21◦37.3 149◦33.7 -22◦58.3 135◦39.5 -21◦23.922 85◦48.4 109◦32.1 -11◦31.6 198◦20.3 -21◦37.6 164◦35.5 -22◦58.3 150◦41.6 -21◦23.923 100◦50.8 124◦31.8 -11◦30.5 213◦21.0 -21◦37.8 179◦37.4 -22◦58.3 165◦43.8 -21◦23.8Mer.pass.:16:17 v-0.4 d1.2 m-3.9 v0.7 d-0.3 m1.5 v1.8 d0.0 m-1.7 v2.1 d0.0 m0.6

Fri GHA GHA Dec GHA Dec GHA Dec GHA Dec0 115◦53.3 139◦31.4 -11◦29.3 228◦21.7 -21◦38.1 194◦39.2 -22◦58.2 180◦45.9 -21◦23.81 130◦55.7 154◦31.0 -11◦28.1 243◦22.3 -21◦38.4 209◦41.1 -22◦58.2 195◦48.1 -21◦23.72 145◦58.2 169◦30.6 -11◦26.9 258◦23.0 -21◦38.7 224◦42.9 -22◦58.1 210◦50.2 -21◦23.73 161◦00.7 184◦30.2 -11◦25.8 273◦23.7 -21◦39.0 239◦44.8 -22◦58.1 225◦52.4 -21◦23.64 176◦03.1 199◦29.9 -11◦24.6 288◦24.3 -21◦39.3 254◦46.6 -22◦58.1 240◦54.5 -21◦23.65 191◦05.6 214◦29.5 -11◦23.4 303◦25.0 -21◦39.6 269◦48.5 -22◦58.0 255◦56.7 -21◦23.56 206◦08.1 229◦29.1 -11◦22.2 318◦25.7 -21◦39.8 284◦50.4 -22◦58.0 270◦58.8 -21◦23.57 221◦10.5 244◦28.7 -11◦21.0 333◦26.3 -21◦40.1 299◦52.2 -22◦57.9 286◦01.0 -21◦23.48 236◦13.0 259◦28.4 -11◦19.9 348◦27.0 -21◦40.4 314◦54.1 -22◦57.9 301◦03.1 -21◦23.49 251◦15.5 274◦28.0 -11◦18.7 3◦27.7 -21◦40.7 329◦55.9 -22◦57.9 316◦05.3 -21◦23.310 266◦17.9 289◦27.6 -11◦17.5 18◦28.3 -21◦41.0 344◦57.8 -22◦57.8 331◦07.4 -21◦23.311 281◦20.4 304◦27.2 -11◦16.3 33◦29.0 -21◦41.3 359◦59.6 -22◦57.8 346◦09.6 -21◦23.212 296◦22.9 319◦26.9 -11◦15.1 48◦29.7 -21◦41.5 15◦01.5 -22◦57.7 1◦11.7 -21◦23.213 311◦25.3 334◦26.5 -11◦13.9 63◦30.3 -21◦41.8 30◦03.3 -22◦57.7 16◦13.9 -21◦23.214 326◦27.8 349◦26.1 -11◦12.8 78◦31.0 -21◦42.1 45◦05.2 -22◦57.7 31◦16.0 -21◦23.115 341◦30.2 4◦25.7 -11◦11.6 93◦31.6 -21◦42.4 60◦07.0 -22◦57.6 46◦18.2 -21◦23.116 356◦32.7 19◦25.4 -11◦10.4 108◦32.3 -21◦42.7 75◦08.9 -22◦57.6 61◦20.3 -21◦23.017 11◦35.2 34◦25.0 -11◦09.2 123◦33.0 -21◦42.9 90◦10.7