FOR MARINE NAVIGATIONpub. no. 229 vol. 1 sight reduction tables for marine navigation latitudes...

PUB. NO. 229VOL. 1

SIGHT REDUCTION TABLESFOR

MARINE NAVIGATIONLATITUDES 0°–15°, Inclusive

NATIONAL IMAGERY AND MAPPING AGENCY

Page II

INTERPOLATION TABLE

Altitude Difference (d) DoubleSecond

Diff.andCorr.


Diff.andCorr.

Dec.Inc. Tens Decimals Units


10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′

0.0 0.0 0.0 0.0 0.0 0.0 .0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 8.0 1.3 2.6 4.0 5.3 6.6 .0 0.0 0.1 0.3 0.4 0.6 0.7 0.8 1.0 1.1 1.3

1.64.88.0

11.214.517.720.924.127.330.533.736.9

0.10.20.30.40.50.60.70.80.91.01.1

0.1 0.0 0.0 0.0 0.0 0.1 .1 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.10.048.2

8.1 1.3 2.7 4.0 5.4 6.7 .1 0.0 0.2 0.3 0.4 0.6 0.7 0.9 1.0 1.1 1.30.2 0.0 0.0 0.1 0.1 0.1 .2 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.0 8.2 1.3 2.7 4.1 5.4 6.8 .2 0.0 0.2 0.3 0.5 0.6 0.7 0.9 1.0 1.2 1.30.3 0.0 0.1 0.1 0.2 0.2 .3 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.3 1.4 2.8 4.1 5.5 6.9 .3 0.0 0.2 0.3 0.5 0.6 0.8 0.9 1.0 1.2 1.30.4 0.1 0.1 0.2 0.3 0.3 .4 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.4 1.4 2.8 4.2 5.6 7.0 .4 0.1 0.2 0.3 0.5 0.6 0.8 0.9 1.0 1.2 1.3

0.5 0.1 0.2 0.3 0.3 0.4 .5 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.5 1.4 2.8 4.3 5.7 7.1 .5 0.1 0.2 0.4 0.5 0.6 0.8 0.9 1.1 1.2 1.30.6 0.1 0.2 0.3 0.4 0.5 .6 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1

16.248.6

8.6 1.4 2.9 4.3 5.7 7.2 .6 0.1 0.2 0.4 0.5 0.7 0.8 0.9 1.1 1.2 1.40.7 0.1 0.3 0.4 0.5 0.6 .7 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 8.7 1.5 2.9 4.4 5.8 7.3 .7 0.1 0.2 0.4 0.5 0.7 0.8 0.9 1.1 1.2 1.40.8 0.2 0.3 0.4 0.6 0.7 .8 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.8 1.5 3.0 4.4 5.9 7.4 .8 0.1 0.3 0.4 0.5 0.7 0.8 1.0 1.1 1.2 1.40.9 0.2 0.3 0.5 0.6 0.8 .9 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.9 1.5 3.0 4.5 6.0 7.5 .9 0.1 0.3 0.4 0.6 0.7 0.8 1.0 1.1 1.3 1.4

1.0 0.1 0.3 0.5 0.6 0.8 .0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 9.0 1.5 3.0 4.5 6.0 7.5 .0 0.0 0.2 0.3 0.5 0.6 0.8 0.9 1.1 1.3 1.41.1 0.2 0.3 0.5 0.7 0.9 .1 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.1 1.5 3.0 4.5 6.0 7.6 .1 0.0 0.2 0.3 0.5 0.6 0.8 1.0 1.1 1.3 1.41.2 0.2 0.4 0.6 0.8 1.0 .2 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2

8.224.641.0

9.2 1.5 3.0 4.6 6.1 7.6 .2 0.0 0.2 0.3 0.5 0.7 0.8 1.0 1.1 1.3 1.51.3 0.2 0.4 0.6 0.9 1.1 .3 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.3 1.5 3.1 4.6 6.2 7.7 .3 0.0 0.2 0.4 0.5 0.7 0.8 1.0 1.2 1.3 1.51.4 0.2 0.5 0.7 0.9 1.2 .4 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.1

0.2

9.4 1.6 3.1 4.7 6.3 7.8 .4 0.1 0.2 0.4 0.5 0.7 0.9 1.0 1.2 1.3 1.5

1.44.27.19.9

12.715.518.421.224.026.829.732.535.3

1.5 0.3 0.5 0.8 1.0 1.3 .5 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.5 1.6 3.2 4.8 6.3 7.9 .5 0.1 0.2 0.4 0.6 0.7 0.9 1.0 1.2 1.3 1.5

0.10.20.30.40.50.60.70.80.91.01.11.2

1.6 0.3 0.5 0.8 1.1 1.3 .6 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.6 1.6 3.2 4.8 6.4 8.0 .6 0.1 0.3 0.4 0.6 0.7 0.9 1.0 1.2 1.4 1.51.7 0.3 0.6 0.9 1.2 1.4 .7 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.7 1.6 3.3 4.9 6.5 8.1 .7 0.1 0.3 0.4 0.6 0.7 0.9 1.1 1.2 1.4 1.51.8 0.3 0.6 0.9 1.2 1.5 .8 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.8 1.7 3.3 4.9 6.6 8.2 .8 0.1 0.3 0.4 0.6 0.8 0.9 1.1 1.2 1.4 1.61.9 0.4 0.7 1.0 1.3 1.6 .9 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.9 1.7 3.3 5.0 6.6 8.3 .9 0.1 0.3 0.5 0.6 0.8 0.9 1.1 1.3 1.4 1.6

2.0 0.3 0.6 1.0 1.3 1.6 .0 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 10.0 1.6 3.3 5.0 6.6 8.3 .0 0.0 0.2 0.3 0.5 0.7 0.9 1.0 1.2 1.4 1.62.1 0.3 0.7 1.0 1.4 1.7 .1 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.4 10.1 1.7 3.3 5.0 6.7 8.4 .1 0.0 0.2 0.4 0.5 0.7 0.9 1.1 1.2 1.4 1.62.2 0.3 0.7 1.1 1.4 1.8 .2 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.4

5.015.025.035.1

0.10.20.3

10.2 1.7 3.4 5.1 6.8 8.5 .2 0.0 0.2 0.4 0.6 0.7 0.9 1.1 1.3 1.4 1.62.3 0.4 0.8 1.1 1.5 1.9 .3 0.0 0.1 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.4 10.3 1.7 3.4 5.1 6.9 8.6 .3 0.1 0.2 0.4 0.6 0.8 0.9 1.1 1.3 1.5 1.62.4 0.4 0.8 1.2 1.6 2.0 .4 0.0 0.1 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.4 10.4 1.7 3.5 5.2 6.9 8.7 .4 0.1 0.2 0.4 0.6 0.8 0.9 1.1 1.3 1.5 1.6

2.5 0.4 0.8 1.3 1.7 2.1 .5 0.0 0.1 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 10.5 1.8 3.5 5.3 7.0 8.8 .5 0.1 0.3 0.4 0.6 0.8 1.0 1.1 1.3 1.5 1.72.6 0.4 0.9 1.3 1.7 2.2 .6 0.0 0.1 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 10.6 1.8 3.5 5.3 7.1 8.8 .6 0.1 0.3 0.5 0.6 0.8 1.0 1.2 1.3 1.5 1.72.7 0.5 0.9 1.4 1.8 2.3 .7 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 10.7 1.8 3.6 5.4 7.2 8.9 .7 0.1 0.3 0.5 0.6 0.8 1.0 1.2 1.3 1.5 1.72.8 0.5 1.0 1.4 1.9 2.4 .8 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 10.8 1.8 3.6 5.4 7.2 9.0 .8 0.1 0.3 0.5 0.7 0.8 1.0 1.2 1.4 1.5 1.72.9 0.5 1.0 1.5 2.0 2.5 .9 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 10.9 1.9 3.7 5.5 7.3 9.1 .9 0.2 0.3 0.5 0.7 0.9 1.0 1.2 1.4 1.6 1.7

3.0 0.5 1.0 1.5 2.0 2.5 .0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.5 11.0 1.8 3.6 5.5 7.3 9.1 .0 0.0 0.2 0.4 0.6 0.8 1.0 1.1 1.3 1.5 1.71.33.86.38.9

11.414.016.519.021.624.126.729.231.734.3

0.10.20.30.40.50.60.70.80.91.01.11.21.3

3.1 0.5 1.0 1.5 2.0 2.6 .1 0.0 0.1 0.1 0.2 0.2 0.3 0.4 0.4 0.5 0.5

3.610.918.225.532.840.1

0.10.20.30.40.5

11.1 1.8 3.7 5.5 7.4 9.2 .1 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.73.2 0.5 1.0 1.6 2.1 2.6 .2 0.0 0.1 0.1 0.2 0.2 0.3 0.4 0.4 0.5 0.5 11.2 1.8 3.7 5.6 7.4 9.3 .2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.83.3 0.5 1.1 1.6 2.2 2.7 .3 0.0 0.1 0.1 0.2 0.3 0.3 0.4 0.4 0.5 0.5 11.3 1.9 3.8 5.6 7.5 9.4 .3 0.1 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.83.4 0.6 1.1 1.7 2.3 2.8 .4 0.0 0.1 0.1 0.2 0.3 0.3 0.4 0.4 0.5 0.5 11.4 1.9 3.8 5.7 7.6 9.5 .4 0.1 0.3 0.5 0.7 0.8 1.0 1.2 1.4 1.6 1.8

3.5 0.6 1.2 1.8 2.3 2.9 .5 0.0 0.1 0.1 0.2 0.3 0.3 0.4 0.4 0.5 0.6 11.5 1.9 3.8 5.8 7.7 9.6 .5 0.1 0.3 0.5 0.7 0.9 1.1 1.2 1.4 1.6 1.83.6 0.6 1.2 1.8 2.4 3.0 .6 0.0 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.6 11.6 1.9 3.9 5.8 7.7 9.7 .6 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.6 1.83.7 0.6 1.3 1.9 2.5 3.1 .7 0.0 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.6 11.7 2.0 3.9 5.9 7.8 9.8 .7 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.93.8 0.7 1.3 1.9 2.6 3.2 .8 0.0 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.5 0.6 11.8 2.0 4.0 5.9 7.9 9.9 .8 0.2 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.93.9 0.7 1.3 2.0 2.6 3.3 .9 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.5 0.6 11.9 2.0 4.0 6.0 8.0 10.0 .9 0.2 0.4 0.6 0.7 0.9 1.1 1.3 1.5 1.7 1.9

4.0 0.6 1.3 2.0 2.6 3.3 .0 0.0 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 12.0 2.0 4.0 6.0 8.0 10.0 .0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.5 1.7 1.94.1 0.7 1.3 2.0 2.7 3.4 .1 0.0 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7

2.98.614.420.225.931.737.5

0.10.20.30.40.50.6

12.1 2.0 4.0 6.0 8.0 10.1 .1 0.0 0.2 0.4 0.6 0.9 1.1 1.3 1.5 1.7 1.94.2 0.7 1.4 2.1 2.8 3.5 .2 0.0 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7 12.2 2.0 4.0 6.1 8.1 10.1 .2 0.0 0.2 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.94.3 0.7 1.4 2.1 2.9 3.6 .3 0.0 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7 12.3 2.0 4.1 6.1 8.2 10.2 .3 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.94.4 0.7 1.5 2.2 2.9 3.7 .4 0.0 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 0.7 12.4 2.1 4.1 6.2 8.3 10.3 .4 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 2.0

4.5 0.8 1.5 2.3 3.0 3.8 .5 0.0 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 0.7 12.5 2.1 4.2 6.3 8.3 10.4 .5 0.1 0.3 0.5 0.7 0.9 1.1 1.4 1.6 1.8 2.0 1.23.55.88.1

10.512.815.117.419.822.124.426.729.131.433.736.0

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.5

4.6 0.8 1.5 2.3 3.1 3.8 .6 0.0 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 0.7 12.6 2.1 4.2 6.3 8.4 10.5 .6 0.1 0.3 0.5 0.7 1.0 1.2 1.4 1.6 1.8 2.04.7 0.8 1.6 2.4 3.2 3.9 .7 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.7 12.7 2.1 4.3 6.4 8.5 10.6 .7 0.1 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.04.8 0.8 1.6 2.4 3.2 4.0 .8 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.7 12.8 2.2 4.3 6.4 8.6 10.7 .8 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.04.9 0.9 1.7 2.5 3.3 4.1 .9 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.7 12.9 2.2 4.3 6.5 8.6 10.8 .9 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.9 2.1

5.0 0.8 1.6 2.5 3.3 4.1 .0 0.0 0.1 0.2 0.3 0.4 0.5 0.5 0.6 0.7 0.82.47.212.016.821.626.431.236.0

13.0 2.1 4.3 6.5 8.6 10.8 .0 0.0 0.2 0.4 0.7 0.9 1.1 1.3 1.6 1.8 2.05.1 0.8 1.7 2.5 3.4 4.2 .1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.7 0.8

0.10.20.30.40.50.60.7

13.1 2.2 4.3 6.5 8.7 10.9 .1 0.0 0.2 0.5 0.7 0.9 1.1 1.4 1.6 1.8 2.05.2 0.8 1.7 2.6 3.4 4.3 .2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.8 13.2 2.2 4.4 6.6 8.8 11.0 .2 0.0 0.3 0.5 0.7 0.9 1.2 1.4 1.6 1.8 2.15.3 0.9 1.8 2.6 3.5 4.4 .3 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 13.3 2.2 4.4 6.6 8.9 11.1 .3 0.1 0.3 0.5 0.7 1.0 1.2 1.4 1.6 1.9 2.15.4 0.9 1.8 2.7 3.6 4.5 .4 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 13.4 2.2 4.5 6.7 8.9 11.2 .4 0.1 0.3 0.5 0.8 1.0 1.2 1.4 1.7 1.9 2.1

5.5 0.9 1.8 2.8 3.7 4.6 .5 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 13.5 2.3 4.5 6.8 9.0 11.3 .5 0.1 0.3 0.6 0.8 1.0 1.2 1.5 1.7 1.9 2.15.6 0.9 1.9 2.8 3.7 4.7 .6 0.1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 13.6 2.3 4.5 6.8 9.1 11.3 .6 0.1 0.4 0.6 0.8 1.0 1.3 1.5 1.7 1.9 2.25.7 1.0 1.9 2.9 3.8 4.8 .7 0.1 0.2 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 13.7 2.3 4.6 6.9 9.2 11.4 .7 0.2 0.4 0.6 0.8 1.1 1.3 1.5 1.7 2.0 2.25.8 1.0 2.0 2.9 3.9 4.9 .8 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.7 0.8 0.9 13.8 2.3 4.6 6.9 9.2 11.5 .8 0.2 0.4 0.6 0.9 1.1 1.3 1.5 1.8 2.0 2.25.9 1.0 2.0 3.0 4.0 5.0 .9 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.8 0.9 13.9 2.4 4.7 7.0 9.3 11.6 .9 0.2 0.4 0.7 0.9 1.1 1.3 1.6 1.8 2.0 2.2

6.0 1.0 2.0 3.0 4.0 5.0 .0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.8 0.9 1.02.16.210.414.518.622.826.931.135.2

14.0 2.3 4.6 7.0 9.3 11.6 .0 0.0 0.2 0.5 0.7 1.0 1.2 1.4 1.7 1.9 2.2

1.13.25.37.59.6

11.713.916.018.120.322.424.526.728.830.933.135.2

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.6

6.1 1.0 2.0 3.0 4.0 5.1 .1 0.0 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.0 0.10.20.30.40.50.60.70.8

14.1 2.3 4.7 7.0 9.4 11.7 .1 0.0 0.3 0.5 0.7 1.0 1.2 1.5 1.7 2.0 2.26.2 1.0 2.0 3.1 4.1 5.1 .2 0.0 0.1 0.2 0.3 0.5 0.6 0.7 0.8 0.9 1.0 14.2 2.3 4.7 7.1 9.4 11.8 .2 0.0 0.3 0.5 0.8 1.0 1.3 1.5 1.7 2.0 2.26.3 1.0 2.1 3.1 4.2 5.2 .3 0.0 0.1 0.2 0.4 0.5 0.6 0.7 0.8 0.9 1.0 14.3 2.4 4.8 7.1 9.5 11.9 .3 0.1 0.3 0.6 0.8 1.0 1.3 1.5 1.8 2.0 2.26.4 1.1 2.1 3.2 4.3 5.3 .4 0.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 14.4 2.4 4.8 7.2 9.6 12.0 .4 0.1 0.3 0.6 0.8 1.1 1.3 1.5 1.8 2.0 2.3

6.5 1.1 2.2 3.3 4.3 5.4 .5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 14.5 2.4 4.8 7.3 9.7 12.1 .5 0.1 0.4 0.6 0.8 1.1 1.3 1.6 1.8 2.1 2.36.6 1.1 2.2 3.3 4.4 5.5 .6 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 14.6 2.4 4.9 7.3 9.7 12.2 .6 0.1 0.4 0.6 0.9 1.1 1.4 1.6 1.8 2.1 2.36.7 1.1 2.3 3.4 4.5 5.6 .7 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.1 14.7 2.5 4.9 7.4 9.8 12.3 .7 0.2 0.4 0.7 0.9 1.1 1.4 1.6 1.9 2.1 2.36.8 1.2 2.3 3.4 4.6 5.7 .8 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 1.0 1.1 14.8 2.5 5.0 7.4 9.9 12.4 .8 0.2 0.4 0.7 0.9 1.2 1.4 1.6 1.9 2.1 2.46.9 1.2 2.3 3.5 4.6 5.8 .9 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.9 1.0 1.1 14.9 2.5 5.0 7.5 10.0 12.5 .9 0.2 0.5 0.7 0.9 1.2 1.4 1.7 1.9 2.2 2.4

7.0 1.1 2.3 3.5 4.6 5.8 .0 0.0 0.1 0.2 0.4 0.5 0.6 0.7 0.9 1.0 1.1 1.85.59.112.816.520.123.827.431.134.7

0.10.20.30.40.50.60.70.80.9

15.0 2.5 5.0 7.5 10.0 12.5 .0 0.0 0.3 0.5 0.8 1.0 1.3 1.5 1.8 2.1 2.37.1 1.2 2.3 3.5 4.7 5.9 .1 0.0 0.1 0.3 0.4 0.5 0.6 0.8 0.9 1.0 1.1 15.1 2.5 5.0 7.5 10.0 12.6 .1 0.0 0.3 0.5 0.8 1.1 1.3 1.6 1.8 2.1 2.47.2 1.2 2.4 3.6 4.8 6.0 .2 0.0 0.1 0.3 0.4 0.5 0.6 0.8 0.9 1.0 1.1 15.2 2.5 5.0 7.6 10.1 12.6 .2 0.1 0.3 0.6 0.8 1.1 1.3 1.6 1.9 2.1 2.47.3 1.2 2.4 3.6 4.9 6.1 .3 0.0 0.2 0.3 0.4 0.5 0.7 0.8 0.9 1.0 1.2 15.3 2.5 5.1 7.6 10.2 12.7 .3 0.1 0.3 0.6 0.9 1.1 1.4 1.6 1.9 2.1 2.47.4 1.2 2.5 3.7 4.9 6.2 .4 0.0 0.2 0.3 0.4 0.5 0.7 0.8 0.9 1.0 1.2 15.4 2.6 5.1 7.7 10.3 12.8 .4 0.1 0.4 0.6 0.9 1.1 1.4 1.7 1.9 2.2 2.4

7.5 1.3 2.5 3.8 5.0 6.3 .5 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.1 1.2 15.5 2.6 5.2 7.8 10.3 12.9 .5 0.1 0.4 0.6 0.9 1.2 1.4 1.7 1.9 2.2 2.57.6 1.3 2.5 3.8 5.1 6.3 .6 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.1 1.2 15.6 2.6 5.2 7.8 10.4 13.0 .6 0.2 0.4 0.7 0.9 1.2 1.4 1.7 2.0 2.2 2.57.7 1.3 2.6 3.9 5.2 6.4 .7 0.1 0.2 0.3 0.5 0.6 0.7 0.8 1.0 1.1 1.2 15.7 2.6 5.3 7.9 10.5 13.1 .7 0.2 0.4 0.7 1.0 1.2 1.5 1.7 2.0 2.2 2.57.8 1.3 2.6 3.9 5.2 6.5 .8 0.1 0.2 0.3 0.5 0.6 0.7 0.8 1.0 1.1 1.2 15.8 2.7 5.3 7.9 10.6 13.2 .8 0.2 0.5 0.7 1.0 1.2 1.5 1.8 2.0 2.3 2.57.9 1.4 2.7 4.0 5.3 6.6 .9 0.1 0.2 0.4 0.5 0.6 0.7 0.9 1.0 1.1 1.2 15.9 2.7 5.3 8.0 10.6 13.3 .9 0.2 0.5 0.7 1.0 1.3 1.5 1.8 2.0 2.3 2.6

10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′

The Double-Second-Difference correction (Corr.) is always to be added to the tabulated altitude.

INTERPOLATION TABLEAltitude Difference (d) Double

SecondDiff.andCorr.


Diff.andCorr.



10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′

16.0 2.6 5.3 8.0 10.6 13.3 .0 0.0 0.3 0.5 0.8 1.1 1.4 1.6 1.9 2.2 2.5

1.03.04.96.98.910.812.814.816.718.720.722.724.626.628.630.532.534.5

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.7

24.0 4.0 8.0 12.0 16.0 20.0 .0 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.9 3.3 3.7 0.82.54.15.87.49.1

10.712.314.015.617.318.920.622.223.925.527.228.830.432.133.735.4

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

16.1 2.7 5.3 8.0 10.7 13.4 .1 0.0 0.3 0.6 0.9 1.1 1.4 1.7 2.0 2.2 2.5 24.1 4.0 8.0 12.0 16.0 20.1 .1 0.0 0.4 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.716.2 2.7 5.4 8.1 10.8 13.5 .2 0.1 0.3 0.6 0.9 1.2 1.4 1.7 2.0 2.3 2.5 24.2 4.0 8.0 12.1 16.1 20.1 .2 0.1 0.5 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.816.3 2.7 5.4 8.1 10.9 13.6 .3 0.1 0.4 0.6 0.9 1.2 1.5 1.7 2.0 2.3 2.6 24.3 4.0 8.1 12.1 16.2 20.2 .3 0.1 0.5 0.9 1.3 1.8 2.2 2.6 3.0 3.4 3.816.4 2.7 5.5 8.2 10.9 13.7 .4 0.1 0.4 0.7 0.9 1.2 1.5 1.8 2.0 2.3 2.6 24.4 4.1 8.1 12.2 16.3 20.3 .4 0.2 0.6 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8

16.5 2.8 5.5 8.3 11.0 13.8 .5 0.1 0.4 0.7 1.0 1.2 1.5 1.8 2.1 2.3 2.6 24.5 4.1 8.2 12.3 16.3 20.4 .5 0.2 0.6 1.0 1.4 1.8 2.2 2.7 3.1 3.5 3.916.6 2.8 5.5 8.3 11.1 13.8 .6 0.2 0.4 0.7 1.0 1.3 1.5 1.8 2.1 2.4 2.6 24.6 4.1 8.2 12.3 16.4 20.5 .6 0.2 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.5 3.916.7 2.8 5.6 8.4 11.2 13.9 .7 0.2 0.5 0.7 1.0 1.3 1.6 1.8 2.1 2.4 2.7 24.7 4.1 8.3 12.4 16.5 20.6 .7 0.3 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.6 4.016.8 2.8 5.6 8.4 11.2 14.0 .8 0.2 0.5 0.8 1.0 1.3 1.6 1.9 2.1 2.4 2.7 24.8 4.2 8.3 12.4 16.6 20.7 .8 0.3 0.7 1.1 1.6 2.0 2.4 2.8 3.2 3.6 4.016.9 2.9 5.7 8.5 11.3 14.1 .9 0.2 0.5 0.8 1.1 1.3 1.6 1.9 2.2 2.4 2.7 24.9 4.2 8.3 12.5 16.6 20.8 .9 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6 4.0

17.0 2.8 5.6 8.5 11.3 14.1 .0 0.0 0.3 0.6 0.9 1.2 1.5 1.7 2.0 2.3 2.6 25.0 4.1 8.3 12.5 16.6 20.8 .0 0.0 0.4 0.8 1.3 1.7 2.1 2.5 3.0 3.4 3.817.1 2.8 5.7 8.5 11.4 14.2 .1 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 25.1 4.2 8.3 12.5 16.7 20.9 .1 0.0 0.5 0.9 1.3 1.7 2.2 2.6 3.0 3.4 3.917.2 2.8 5.7 8.6 11.4 14.3 .2 0.1 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 25.2 4.2 8.4 12.6 16.8 21.0 .2 0.1 0.5 0.9 1.4 1.8 2.2 2.6 3.1 3.5 3.917.3 2.9 5.8 8.6 11.5 14.4 .3 0.1 0.4 0.7 1.0 1.3 1.5 1.8 2.1 2.4 2.7 25.3 4.2 8.4 12.6 16.9 21.1 .3 0.1 0.6 1.0 1.4 1.8 2.3 2.7 3.1 3.5 4.017.4 2.9 5.8 8.7 11.6 14.5 .4 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.2 2.4 2.7 25.4 4.2 8.5 12.7 16.9 21.2 .4 0.2 0.6 1.0 1.4 1.9 2.3 2.7 3.1 3.6 4.0

17.5 2.9 5.8 8.8 11.7 14.6 .5 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.2 2.5 2.8 25.5 4.3 8.5 12.8 17.0 21.3 .5 0.2 0.6 1.1 1.5 1.9 2.3 2.8 3.2 3.6 4.017.6 2.9 5.9 8.8 11.7 14.7 .6 0.2 0.5 0.8 1.0 1.3 1.6 1.9 2.2 2.5 2.8 25.6 4.3 8.5 12.8 17.1 21.3 .6 0.3 0.7 1.1 1.5 2.0 2.4 2.8 3.2 3.7 4.117.7 3.0 5.9 8.9 11.8 14.8 .7 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.2 2.5 2.8 25.7 4.3 8.6 12.9 17.2 21.4 .7 0.3 0.7 1.1 1.6 2.0 2.4 2.8 3.3 3.7 4.117.8 3.0 6.0 8.9 11.9 14.9 .8 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.3 2.6 2.9 25.8 4.3 8.6 12.9 17.2 21.5 .8 0.3 0.8 1.2 1.6 2.0 2.5 2.9 3.3 3.7 4.217.9 3.0 6.0 9.0 12.0 15.0 .9 0.3 0.6 0.8 1.1 1.4 1.7 2.0 2.3 2.6 2.9 25.9 4.4 8.7 13.0 17.3 21.6 .9 0.4 0.8 1.2 1.7 2.1 2.5 2.9 3.4 3.8 4.2

0.92.84.66.58.310.212.013.915.717.619.421.323.125.026.828.730.532.334.2

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.8

18.0 3.0 6.0 9.0 12.0 15.0 .0 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.2 2.5 2.8 26.0 4.3 8.6 13.0 17.3 21.6 .0 0.0 0.4 0.9 1.3 1.8 2.2 2.6 3.1 3.5 4.0 0.82.44.05.77.38.9

10.512.113.715.417.018.620.221.823.425.126.728.329.931.533.134.7

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

18.1 3.0 6.0 9.0 12.0 15.1 .1 0.0 0.3 0.6 1.0 1.3 1.6 1.9 2.2 2.5 2.8 26.1 4.3 8.7 13.0 17.4 21.7 .1 0.0 0.5 0.9 1.4 1.8 2.3 2.7 3.1 3.6 4.018.2 3.0 6.0 9.1 12.1 15.1 .2 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.2 2.5 2.8 26.2 4.3 8.7 13.1 17.4 21.8 .2 0.1 0.5 1.0 1.4 1.9 2.3 2.7 3.2 3.6 4.118.3 3.0 6.1 9.1 12.2 15.2 .3 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.3 2.6 2.9 26.3 4.4 8.8 13.1 17.5 21.9 .3 0.1 0.6 1.0 1.5 1.9 2.3 2.8 3.2 3.7 4.118.4 3.1 6.1 9.2 12.3 15.3 .4 0.1 0.4 0.7 1.0 1.4 1.7 2.0 2.3 2.6 2.9 26.4 4.4 8.8 13.2 17.6 22.0 .4 0.2 0.6 1.1 1.5 1.9 2.4 2.8 3.3 3.7 4.2

18.5 3.1 6.2 9.3 12.3 15.4 .5 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.3 2.6 2.9 26.5 4.4 8.8 13.3 17.7 22.1 .5 0.2 0.7 1.1 1.5 2.0 2.4 2.9 3.3 3.8 4.218.6 3.1 6.2 9.3 12.4 15.5 .6 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.3 2.7 3.0 26.6 4.4 8.9 13.3 17.7 22.2 .6 0.3 0.7 1.1 1.6 2.0 2.5 2.9 3.4 3.8 4.218.7 3.1 6.3 9.4 12.5 15.6 .7 0.2 0.5 0.8 1.1 1.4 1.8 2.1 2.4 2.7 3.0 26.7 4.5 8.9 13.4 17.8 22.3 .7 0.3 0.8 1.2 1.6 2.1 2.5 3.0 3.4 3.8 4.318.8 3.2 6.3 9.4 12.6 15.7 .8 0.2 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 26.8 4.5 9.0 13.4 17.9 22.4 .8 0.4 0.8 1.2 1.7 2.1 2.6 3.0 3.4 3.9 4.318.9 3.2 6.3 9.5 12.6 15.8 .9 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.1 26.9 4.5 9.0 13.5 18.0 22.5 .9 0.4 0.8 1.3 1.7 2.2 2.6 3.0 3.5 3.9 4.4

19.0 3.1 6.3 9.5 12.6 15.8 .0 0.0 0.3 0.6 1.0 1.3 1.6 1.9 2.3 2.6 2.9 27.0 4.5 9.0 13.5 18.0 22.5 .0 0.0 0.5 0.9 1.4 1.8 2.3 2.7 3.2 3.7 4.119.1 3.2 6.3 9.5 12.7 15.9 .1 0.0 0.4 0.7 1.0 1.3 1.7 2.0 2.3 2.6 3.0 27.1 4.5 9.0 13.5 18.0 22.6 .1 0.0 0.5 1.0 1.4 1.9 2.3 2.8 3.3 3.7 4.219.2 3.2 6.4 9.6 12.8 16.0 .2 0.1 0.4 0.7 1.0 1.4 1.7 2.0 2.3 2.7 3.0 27.2 4.5 9.0 13.6 18.1 22.6 .2 0.1 0.5 1.0 1.5 1.9 2.4 2.8 3.3 3.8 4.219.3 3.2 6.4 9.6 12.9 16.1 .3 0.1 0.4 0.7 1.1 1.4 1.7 2.0 2.4 2.7 3.0 27.3 4.5 9.1 13.6 18.2 22.7 .3 0.1 0.6 1.1 1.5 2.0 2.4 2.9 3.3 3.8 4.319.4 3.2 6.5 9.7 12.9 16.2 .4 0.1 0.5 0.8 1.1 1.4 1.8 2.1 2.4 2.7 3.1 27.4 4.6 9.1 13.7 18.3 22.8 .4 0.2 0.6 1.1 1.6 2.0 2.5 2.9 3.4 3.8 4.3

19.5 3.3 6.5 9.8 13.0 16.3 .5 0.2 0.5 0.8 1.1 1.5 1.8 2.1 2.4 2.8 3.1 27.5 4.6 9.2 13.8 18.3 22.9 .5 0.2 0.7 1.1 1.6 2.1 2.5 3.0 3.4 3.9 4.419.6 3.3 6.5 9.8 13.1 16.3 .6 0.2 0.5 0.8 1.2 1.5 1.8 2.1 2.5 2.8 3.1 27.6 4.6 9.2 13.8 18.4 23.0 .6 0.3 0.7 1.2 1.6 2.1 2.6 3.0 3.5 3.9 4.419.7 3.3 6.6 9.9 13.2 16.4 .7 0.2 0.6 0.9 1.2 1.5 1.9 2.2 2.5 2.8 3.2 27.7 4.6 9.3 13.9 18.5 23.1 .7 0.3 0.8 1.2 1.7 2.2 2.6 3.1 3.5 4.0 4.419.8 3.3 6.6 9.9 13.2 16.5 .8 0.3 0.6 0.9 1.2 1.6 1.9 2.2 2.5 2.9 3.2 27.8 4.7 9.3 13.9 18.6 23.2 .8 0.4 0.8 1.3 1.7 2.2 2.7 3.1 3.6 4.0 4.519.9 3.4 6.7 10.0 13.3 16.6 .9 0.3 0.6 0.9 1.3 1.6 1.9 2.2 2.6 2.9 3.2 27.9 4.7 9.3 14.0 18.6 23.3 .9 0.4 0.9 1.3 1.8 2.2 2.7 3.2 3.6 4.1 4.5

20.0 3.3 6.6 10.0 13.3 16.6 .0 0.0 0.3 0.7 1.0 1.4 1.7 2.0 2.4 2.7 3.1

0.92.64.46.27.99.711.413.214.916.718.520.222.023.725.527.329.030.832.534.3

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.9

28.0 4.6 9.3 14.0 18.6 23.3 .0 0.0 0.5 0.9 1.4 1.9 2.4 2.8 3.3 3.8 4.3 0.82.44.05.67.28.8

10.412.013.615.216.818.420.021.623.224.826.428.029.631.232.834.4

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

20.1 3.3 6.7 10.0 13.4 16.7 .1 0.0 0.4 0.7 1.1 1.4 1.7 2.1 2.4 2.8 3.1 28.1 4.7 9.3 14.0 18.7 23.4 .1 0.0 0.5 1.0 1.5 1.9 2.4 2.9 3.4 3.8 4.320.2 3.3 6.7 10.1 13.4 16.8 .2 0.1 0.4 0.8 1.1 1.4 1.8 2.1 2.5 2.8 3.1 28.2 4.7 9.4 14.1 18.8 23.5 .2 0.1 0.6 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.420.3 3.4 6.8 10.1 13.5 16.9 .3 0.1 0.4 0.8 1.1 1.5 1.8 2.2 2.5 2.8 3.2 28.3 4.7 9.4 14.1 18.9 23.6 .3 0.1 0.6 1.1 1.6 2.0 2.5 3.0 3.5 3.9 4.420.4 3.4 6.8 10.2 13.6 17.0 .4 0.1 0.5 0.8 1.2 1.5 1.8 2.2 2.5 2.9 3.2 28.4 4.7 9.5 14.2 18.9 23.7 .4 0.2 0.7 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.5

20.5 3.4 6.8 10.3 13.7 17.1 .5 0.2 0.5 0.9 1.2 1.5 1.9 2.2 2.6 2.9 3.2 28.5 4.8 9.5 14.3 19.0 23.8 .5 0.2 0.7 1.2 1.7 2.1 2.6 3.1 3.6 4.0 4.520.6 3.4 6.9 10.3 13.7 17.2 .6 0.2 0.5 0.9 1.2 1.6 1.9 2.3 2.6 2.9 3.3 28.6 4.8 9.5 14.3 19.1 23.8 .6 0.3 0.8 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.620.7 3.5 6.9 10.4 13.8 17.3 .7 0.2 0.6 0.9 1.3 1.6 1.9 2.3 2.6 3.0 3.3 28.7 4.8 9.6 14.4 19.2 23.9 .7 0.3 0.8 1.3 1.8 2.2 2.7 3.2 3.7 4.1 4.620.8 3.5 7.0 10.4 13.9 17.4 .8 0.3 0.6 1.0 1.3 1.6 2.0 2.3 2.7 3.0 3.3 28.8 4.8 9.6 14.4 19.2 24.0 .8 0.4 0.9 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.720.9 3.5 7.0 10.5 14.0 17.5 .9 0.3 0.6 1.0 1.3 1.7 2.0 2.4 2.7 3.0 3.4 28.9 4.9 9.7 14.5 19.3 24.1 .9 0.4 0.9 1.4 1.9 2.3 2.8 3.3 3.8 4.2 4.7

21.0 3.5 7.0 10.5 14.0 17.5 .0 0.0 0.4 0.7 1.1 1.4 1.8 2.1 2.5 2.9 3.2 29.0 4.8 9.6 14.5 19.3 24.1 .0 0.0 0.5 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.421.1 3.5 7.0 10.5 14.0 17.6 .1 0.0 0.4 0.8 1.1 1.5 1.8 2.2 2.5 2.9 3.3 29.1 4.8 9.7 14.5 19.4 24.2 .1 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.521.2 3.5 7.0 10.6 14.1 17.6 .2 0.1 0.4 0.8 1.1 1.5 1.9 2.2 2.6 2.9 3.3 29.2 4.8 9.7 14.6 19.4 24.3 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.521.3 3.5 7.1 10.6 14.2 17.7 .3 0.1 0.5 0.8 1.2 1.5 1.9 2.3 2.6 3.0 3.3 29.3 4.9 9.8 14.6 19.5 24.4 .3 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.621.4 3.6 7.1 10.7 14.3 17.8 .4 0.1 0.5 0.9 1.2 1.6 1.9 2.3 2.7 3.0 3.4 29.4 4.9 9.8 14.7 19.6 24.5 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.6

21.5 3.6 7.2 10.8 14.3 17.9 .5 0.2 0.5 0.9 1.3 1.6 2.0 2.3 2.7 3.0 3.4 29.5 4.9 9.8 14.8 19.7 24.6 .5 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.721.6 3.6 7.2 10.8 14.4 18.0 .6 0.2 0.6 0.9 1.3 1.6 2.0 2.4 2.7 3.1 3.4 29.6 4.9 9.9 14.8 19.7 24.7 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.721.7 3.6 7.3 10.9 14.5 18.1 .7 0.3 0.6 1.0 1.3 1.7 2.0 2.4 2.8 3.1 3.5 29.7 5.0 9.9 14.9 19.8 24.8 .7 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.821.8 3.7 7.3 10.9 14.6 18.2 .8 0.3 0.6 1.0 1.4 1.7 2.1 2.4 2.8 3.2 3.5 29.8 5.0 10.0 14.9 19.9 24.9 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.3 3.8 4.3 4.821.9 3.7 7.3 11.0 14.6 18.3 .9 0.3 0.7 1.0 1.4 1.8 2.1 2.5 2.8 3.2 3.5 29.9 5.0 10.0 15.0 20.0 25.0 .9 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.9

22.0 3.6 7.3 11.0 14.6 18.3 .0 0.0 0.4 0.7 1.1 1.5 1.9 2.2 2.6 3.0 3.40.82.54.25.97.69.311.012.714.416.117.819.521.222.824.526.227.929.631.333.034.7

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.0

30.0 5.0 10.0 15.0 20.0 25.0 .0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.6 4.1 4.6 0.82.44.05.67.28.8

10.412.013.615.216.818.420.021.623.224.826.428.029.631.232.834.4

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

22.1 3.7 7.3 11.0 14.7 18.4 .1 0.0 0.4 0.8 1.2 1.5 1.9 2.3 2.7 3.0 3.4 30.1 5.0 10.0 15.0 20.0 25.1 .1 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.622.2 3.7 7.4 11.1 14.8 18.5 .2 0.1 0.4 0.8 1.2 1.6 1.9 2.3 2.7 3.1 3.4 30.2 5.0 10.0 15.1 20.1 25.1 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.2 3.7 4.2 4.722.3 3.7 7.4 11.1 14.9 18.6 .3 0.1 0.5 0.9 1.2 1.6 2.0 2.4 2.7 3.1 3.5 30.3 5.0 10.1 15.1 20.2 25.2 .3 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.722.4 3.7 7.5 11.2 14.9 18.7 .4 0.1 0.5 0.9 1.3 1.6 2.0 2.4 2.8 3.1 3.5 30.4 5.1 10.1 15.2 20.3 25.3 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.8

22.5 3.8 7.5 11.3 15.0 18.8 .5 0.2 0.6 0.9 1.3 1.7 2.1 2.4 2.8 3.2 3.6 30.5 5.1 10.2 15.3 20.3 25.4 .5 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.822.6 3.8 7.5 11.3 15.1 18.8 .6 0.2 0.6 1.0 1.3 1.7 2.1 2.5 2.8 3.2 3.6 30.6 5.1 10.2 15.3 20.4 25.5 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.922.7 3.8 7.6 11.4 15.2 18.9 .7 0.3 0.6 1.0 1.4 1.8 2.1 2.5 2.9 3.3 3.6 30.7 5.1 10.3 15.4 20.5 25.6 .7 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.922.8 3.8 7.6 11.4 15.2 19.0 .8 0.3 0.7 1.0 1.4 1.8 2.2 2.5 2.9 3.3 3.7 30.8 5.2 10.3 15.4 20.6 25.7 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.022.9 3.9 7.7 11.5 15.3 19.1 .9 0.3 0.7 1.1 1.5 1.8 2.2 2.6 3.0 3.3 3.7 30.9 5.2 10.3 15.5 20.6 25.8 .9 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

23.0 3.8 7.6 11.5 15.3 19.1 .0 0.0 0.4 0.8 1.2 1.6 2.0 2.3 2.7 3.1 3.5 31.0 5.1 10.3 15.5 20.6 25.8 .0 0.0 0.5 1.0 1.6 2.1 2.6 3.1 3.7 4.2 4.723.1 3.8 7.7 11.5 15.4 19.2 .1 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6 31.1 5.2 10.3 15.5 20.7 25.9 .1 0.1 0.6 1.1 1.6 2.2 2.7 3.2 3.7 4.3 4.823.2 3.8 7.7 11.6 15.4 19.3 .2 0.1 0.5 0.9 1.3 1.6 2.0 2.4 2.8 3.2 3.6 31.2 5.2 10.4 15.6 20.8 26.0 .2 0.1 0.6 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.823.3 3.9 7.8 11.6 15.5 19.4 .3 0.1 0.5 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.6 31.3 5.2 10.4 15.6 20.9 26.1 .3 0.2 0.7 1.2 1.7 2.3 2.8 3.3 3.8 4.4 4.923.4 3.9 7.8 11.7 15.6 19.5 .4 0.2 0.5 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.7 31.4 5.2 10.5 15.7 20.9 26.2 .4 0.2 0.7 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.9

23.5 3.9 7.8 11.8 15.7 19.6 .5 0.2 0.6 1.0 1.4 1.8 2.2 2.5 2.9 3.3 3.7 31.5 5.3 10.5 15.8 21.0 26.3 .5 0.3 0.8 1.3 1.8 2.4 2.9 3.4 3.9 4.5 5.023.6 3.9 7.9 11.8 15.7 19.7 .6 0.2 0.6 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8 31.6 5.3 10.5 15.8 21.1 26.3 .6 0.3 0.8 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.023.7 4.0 7.9 11.9 15.8 19.8 .7 0.3 0.7 1.1 1.4 1.8 2.2 2.6 3.0 3.4 3.8 31.7 5.3 10.6 15.9 21.2 26.4 .7 0.4 0.9 1.4 1.9 2.5 3.0 3.5 4.0 4.6 5.123.8 4.0 8.0 11.9 15.9 19.9 .8 0.3 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.4 3.8 31.8 5.3 10.6 15.9 21.2 26.5 .8 0.4 0.9 1.5 2.0 2.5 3.0 3.6 4.1 4.6 5.123.9 4.0 8.0 12.0 16.0 20.0 .9 0.4 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.5 3.9 31.9 5.4 10.7 16.0 21.3 26.6 .9 0.5 1.0 1.5 2.0 2.6 3.1 3.6 4.1 4.7 5.2

10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′



SecondDiff.andCorr.


Diff.andCorr.



10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′

28.0 4.6 9.3 14.0 18.6 23.3 .0 0.0 0.5 0.9 1.4 1.9 2.4 2.8 3.3 3.8 4.3 0.82.44.05.67.28.810.412.013.615.216.818.420.021.623.224.826.428.029.631.232.834.4

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

36.0 6.0 12.0 18.0 24.0 30.0 .0 0.0 0.6 1.2 1.8 2.4 3.0 3.6 4.3 4.9 5.50.82.54.25.97.69.3

11.012.714.416.117.819.521.222.824.526.227.929.631.333.034.7

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.0

28.1 4.7 9.3 14.0 18.7 23.4 .1 0.0 0.5 1.0 1.5 1.9 2.4 2.9 3.4 3.8 4.3 36.1 6.0 12.0 18.0 24.0 30.1 .1 0.1 0.7 1.3 1.9 2.5 3.1 3.7 4.3 4.9 5.528.2 4.7 9.4 14.1 18.8 23.5 .2 0.1 0.6 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.4 36.2 6.0 12.0 18.1 24.1 30.1 .2 0.1 0.7 1.3 1.9 2.6 3.2 3.8 4.4 5.0 5.628.3 4.7 9.4 14.1 18.9 23.6 .3 0.1 0.6 1.1 1.6 2.0 2.5 3.0 3.5 3.9 4.4 36.3 6.0 12.1 18.1 24.2 30.2 .3 0.2 0.8 1.4 2.0 2.6 3.2 3.8 4.4 5.0 5.728.4 4.7 9.5 14.2 18.9 23.7 .4 0.2 0.7 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.5 36.4 6.1 12.1 18.2 24.3 30.3 .4 0.2 0.9 1.5 2.1 2.7 3.3 3.9 4.5 5.1 5.7

28.5 4.8 9.5 14.3 19.0 23.8 .5 0.2 0.7 1.2 1.7 2.1 2.6 3.1 3.6 4.0 4.5 36.5 6.1 12.2 18.3 24.3 30.4 .5 0.3 0.9 1.5 2.1 2.7 3.3 4.0 4.6 5.2 5.828.6 4.8 9.5 14.3 19.1 23.8 .6 0.3 0.8 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.6 36.6 6.1 12.2 18.3 24.4 30.5 .6 0.4 1.0 1.6 2.2 2.8 3.4 4.0 4.6 5.2 5.828.7 4.8 9.6 14.4 19.2 23.9 .7 0.3 0.8 1.3 1.8 2.2 2.7 3.2 3.7 4.1 4.6 36.7 6.1 12.3 18.4 24.5 30.6 .7 0.4 1.0 1.6 2.3 2.9 3.5 4.1 4.7 5.3 5.928.8 4.8 9.6 14.4 19.2 24.0 .8 0.4 0.9 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.7 36.8 6.2 12.3 18.4 24.6 30.7 .8 0.5 1.1 1.7 2.3 2.9 3.5 4.1 4.7 5.4 6.028.9 4.9 9.7 14.5 19.3 24.1 .9 0.4 0.9 1.4 1.9 2.3 2.8 3.3 3.8 4.2 4.7 36.9 6.2 12.3 18.5 24.6 30.8 .9 0.5 1.2 1.8 2.4 3.0 3.6 4.2 4.8 5.4 6.0

29.0 4.8 9.6 14.5 19.3 24.1 .0 0.0 0.5 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.4 37.0 6.1 12.3 18.5 24.6 30.8 .0 0.0 0.6 1.2 1.9 2.5 3.1 3.7 4.4 5.0 5.629.1 4.8 9.7 14.5 19.4 24.2 .1 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 37.1 6.2 12.3 18.5 24.7 30.9 .1 0.1 0.7 1.3 1.9 2.6 3.2 3.8 4.4 5.1 5.729.2 4.8 9.7 14.6 19.4 24.3 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.5 37.2 6.2 12.4 18.6 24.8 31.0 .2 0.1 0.7 1.4 2.0 2.6 3.2 3.9 4.5 5.1 5.729.3 4.9 9.8 14.6 19.5 24.4 .3 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.6 37.3 6.2 12.4 18.6 24.9 31.1 .3 0.2 0.8 1.4 2.1 2.7 3.3 3.9 4.6 5.2 5.829.4 4.9 9.8 14.7 19.6 24.5 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.6 37.4 6.2 12.5 18.7 24.9 31.2 .4 0.2 0.9 1.5 2.1 2.7 3.4 4.0 4.6 5.2 5.9

29.5 4.9 9.8 14.8 19.7 24.6 .5 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.7 37.5 6.3 12.5 18.8 25.0 31.3 .5 0.3 0.9 1.6 2.2 2.8 3.4 4.1 4.7 5.3 5.929.6 4.9 9.9 14.8 19.7 24.7 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.7 37.6 6.3 12.5 18.8 25.1 31.3 .6 0.4 1.0 1.6 2.2 2.9 3.5 4.1 4.7 5.4 6.029.7 5.0 9.9 14.9 19.8 24.8 .7 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.8 37.7 6.3 12.6 18.9 25.2 31.4 .7 0.4 1.1 1.7 2.3 2.9 3.6 4.2 4.8 5.4 6.129.8 5.0 10.0 14.9 19.9 24.9 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.3 3.8 4.3 4.8 37.8 6.3 12.6 18.9 25.2 31.5 .8 0.5 1.1 1.7 2.4 3.0 3.6 4.2 4.9 5.5 6.129.9 5.0 10.0 15.0 20.0 25.0 .9 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.9 37.9 6.4 12.7 19.0 25.3 31.6 .9 0.6 1.2 1.8 2.4 3.1 3.7 4.3 4.9 5.6 6.2

30.0 5.0 10.0 15.0 20.0 25.0 .0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.6 4.1 4.6 0.82.44.05.67.28.810.412.013.615.216.818.420.021.623.224.826.428.029.631.232.834.4

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

38.0 6.3 12.6 19.0 25.3 31.6 .0 0.0 0.6 1.3 1.9 2.6 3.2 3.8 4.5 5.1 5.8

0.92.64.46.27.99.7

11.413.214.916.718.520.222.023.725.527.329.030.832.534.3

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.9

30.1 5.0 10.0 15.0 20.0 25.1 .1 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.6 38.1 6.3 12.7 19.0 25.4 31.7 .1 0.1 0.7 1.3 2.0 2.6 3.3 3.9 4.6 5.2 5.830.2 5.0 10.0 15.1 20.1 25.1 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.2 3.7 4.2 4.7 38.2 6.3 12.7 19.1 25.4 31.8 .2 0.1 0.8 1.4 2.1 2.7 3.3 4.0 4.6 5.3 5.930.3 5.0 10.1 15.1 20.2 25.2 .3 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.7 38.3 6.4 12.8 19.1 25.5 31.9 .3 0.2 0.8 1.5 2.1 2.8 3.4 4.0 4.7 5.3 6.030.4 5.1 10.1 15.2 20.3 25.3 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.8 38.4 6.4 12.8 19.2 25.6 32.0 .4 0.3 0.9 1.5 2.2 2.8 3.5 4.1 4.7 5.4 6.0

30.5 5.1 10.2 15.3 20.3 25.4 .5 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.8 38.5 6.4 12.8 19.3 25.7 32.1 .5 0.3 1.0 1.6 2.2 2.9 3.5 4.2 4.8 5.5 6.130.6 5.1 10.2 15.3 20.4 25.5 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.9 38.6 6.4 12.9 19.3 25.7 32.2 .6 0.4 1.0 1.7 2.3 3.0 3.6 4.2 4.9 5.5 6.230.7 5.1 10.3 15.4 20.5 25.6 .7 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.9 38.7 6.5 12.9 19.4 25.8 32.3 .7 0.4 1.1 1.7 2.4 3.0 3.7 4.3 4.9 5.6 6.230.8 5.2 10.3 15.4 20.6 25.7 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.0 38.8 6.5 13.0 19.4 25.9 32.4 .8 0.5 1.2 1.8 2.4 3.1 3.7 4.4 5.0 5.6 6.330.9 5.2 10.3 15.5 20.6 25.8 .9 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 38.9 6.5 13.0 19.5 26.0 32.5 .9 0.6 1.2 1.9 2.5 3.1 3.8 4.4 5.1 5.7 6.4

31.0 5.1 10.3 15.5 20.6 25.8 .0 0.0 0.5 1.0 1.6 2.1 2.6 3.1 3.7 4.2 4.7 39.0 6.5 13.0 19.5 26.0 32.5 .0 0.0 0.7 1.3 2.0 2.6 3.3 3.9 4.6 5.3 5.931.1 5.2 10.3 15.5 20.7 25.9 .1 0.1 0.6 1.1 1.6 2.2 2.7 3.2 3.7 4.3 4.8 39.1 6.5 13.0 19.5 26.0 32.6 .1 0.1 0.7 1.4 2.0 2.7 3.4 4.0 4.7 5.3 6.031.2 5.2 10.4 15.6 20.8 26.0 .2 0.1 0.6 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.8 39.2 6.5 13.0 19.6 26.1 32.6 .2 0.1 0.8 1.4 2.1 2.8 3.4 4.1 4.7 5.4 6.131.3 5.2 10.4 15.6 20.9 26.1 .3 0.2 0.7 1.2 1.7 2.3 2.8 3.3 3.8 4.4 4.9 39.3 6.5 13.1 19.6 26.2 32.7 .3 0.2 0.9 1.5 2.2 2.8 3.5 4.1 4.8 5.5 6.131.4 5.2 10.5 15.7 20.9 26.2 .4 0.2 0.7 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.9 39.4 6.6 13.1 19.7 26.3 32.8 .4 0.3 0.9 1.6 2.2 2.9 3.6 4.2 4.9 5.5 6.2

31.5 5.3 10.5 15.8 21.0 26.3 .5 0.3 0.8 1.3 1.8 2.4 2.9 3.4 3.9 4.5 5.0 39.5 6.6 13.2 19.8 26.3 32.9 .5 0.3 1.0 1.6 2.3 3.0 3.6 4.3 4.9 5.6 6.331.6 5.3 10.5 15.8 21.1 26.3 .6 0.3 0.8 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.0 39.6 6.6 13.2 19.8 26.4 33.0 .6 0.4 1.1 1.7 2.4 3.0 3.7 4.3 5.0 5.7 6.331.7 5.3 10.6 15.9 21.2 26.4 .7 0.4 0.9 1.4 1.9 2.5 3.0 3.5 4.0 4.6 5.1 39.7 6.6 13.3 19.9 26.5 33.1 .7 0.5 1.1 1.8 2.4 3.1 3.8 4.4 5.1 5.7 6.431.8 5.3 10.6 15.9 21.2 26.5 .8 0.4 0.9 1.5 2.0 2.5 3.0 3.6 4.1 4.6 5.1 39.8 6.7 13.3 19.9 26.6 33.2 .8 0.5 1.2 1.8 2.5 3.2 3.8 4.5 5.1 5.8 6.531.9 5.4 10.7 16.0 21.3 26.6 .9 0.5 1.0 1.5 2.0 2.6 3.1 3.6 4.1 4.7 5.2 39.9 6.7 13.3 20.0 26.6 33.3 .9 0.6 1.3 1.9 2.6 3.2 3.9 4.5 5.2 5.9 6.5

32.0 5.3 10.6 16.0 21.3 26.6 .0 0.0 0.5 1.1 1.6 2.2 2.7 3.2 3.8 4.3 4.9 0.82.44.05.77.38.910.512.113.715.417.018.620.221.823.425.126.728.329.931.533.134.7

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

40.0 6.6 13.3 20.0 26.6 33.3 .0 0.0 0.7 1.3 2.0 2.7 3.4 4.0 4.7 5.4 6.1

0.92.84.66.58.3

10.212.013.915.717.619.421.323.125.026.828.730.532.334.2

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.8

32.1 5.3 10.7 16.0 21.4 26.7 .1 0.1 0.6 1.1 1.7 2.2 2.8 3.3 3.8 4.4 4.9 40.1 6.7 13.3 20.0 26.7 33.4 .1 0.1 0.7 1.4 2.1 2.8 3.4 4.1 4.8 5.5 6.132.2 5.3 10.7 16.1 21.4 26.8 .2 0.1 0.6 1.2 1.7 2.3 2.8 3.4 3.9 4.4 5.0 40.2 6.7 13.4 20.1 26.8 33.5 .2 0.1 0.8 1.5 2.2 2.8 3.5 4.2 4.9 5.5 6.232.3 5.4 10.8 16.1 21.5 26.9 .3 0.2 0.7 1.2 1.8 2.3 2.9 3.4 4.0 4.5 5.0 40.3 6.7 13.4 20.1 26.9 33.6 .3 0.2 0.9 1.6 2.2 2.9 3.6 4.3 4.9 5.6 6.332.4 5.4 10.8 16.2 21.6 27.0 .4 0.2 0.8 1.3 1.8 2.4 2.9 3.5 4.0 4.5 5.1 40.4 6.7 13.5 20.2 26.9 33.7 .4 0.3 0.9 1.6 2.3 3.0 3.6 4.3 5.0 5.7 6.3

32.5 5.4 10.8 16.3 21.7 27.1 .5 0.3 0.8 1.4 1.9 2.4 3.0 3.5 4.1 4.6 5.1 40.5 6.8 13.5 20.3 27.0 33.8 .5 0.3 1.0 1.7 2.4 3.0 3.7 4.4 5.1 5.7 6.432.6 5.4 10.9 16.3 21.7 27.2 .6 0.3 0.9 1.4 1.9 2.5 3.0 3.6 4.1 4.7 5.2 40.6 6.8 13.5 20.3 27.1 33.8 .6 0.4 1.1 1.8 2.4 3.1 3.8 4.5 5.1 5.8 6.532.7 5.5 10.9 16.4 21.8 27.3 .7 0.4 0.9 1.5 2.0 2.5 3.1 3.6 4.2 4.7 5.3 40.7 6.8 13.6 20.4 27.2 33.9 .7 0.5 1.1 1.8 2.5 3.2 3.8 4.5 5.2 5.9 6.532.8 5.5 11.0 16.4 21.9 27.4 .8 0.4 1.0 1.5 2.1 2.6 3.1 3.7 4.2 4.8 5.3 40.8 6.8 13.6 20.4 27.2 34.0 .8 0.5 1.2 1.9 2.6 3.2 3.9 4.6 5.3 5.9 6.632.9 5.5 11.0 16.5 22.0 27.5 .9 0.5 1.0 1.6 2.1 2.7 3.2 3.7 4.3 4.8 5.4 40.9 6.9 13.7 20.5 27.3 34.1 .9 0.6 1.3 2.0 2.6 3.3 4.0 4.7 5.3 6.0 6.7

33.0 5.5 11.0 16.5 22.0 27.5 .0 0.0 0.6 1.1 1.7 2.2 2.8 3.3 3.9 4.5 5.0 41.0 6.8 13.6 20.5 27.3 34.1 .0 0.0 0.7 1.4 2.1 2.8 3.5 4.1 4.8 5.5 6.233.1 5.5 11.0 16.5 22.0 27.6 .1 0.1 0.6 1.2 1.7 2.3 2.8 3.4 4.0 4.5 5.1 41.1 6.8 13.7 20.5 27.4 34.2 .1 0.1 0.8 1.5 2.1 2.8 3.5 4.2 4.9 5.6 6.333.2 5.5 11.0 16.6 22.1 27.6 .2 0.1 0.7 1.2 1.8 2.3 2.9 3.5 4.0 4.6 5.1 41.2 6.8 13.7 20.6 27.4 34.3 .2 0.1 0.8 1.5 2.2 2.9 3.6 4.3 5.0 5.7 6.433.3 5.5 11.1 16.6 22.2 27.7 .3 0.2 0.7 1.3 1.8 2.4 3.0 3.5 4.1 4.6 5.2 41.3 6.9 13.8 20.6 27.5 34.4 .3 0.2 0.9 1.6 2.3 3.0 3.7 4.4 5.0 5.7 6.433.4 5.6 11.1 16.7 22.3 27.8 .4 0.2 0.8 1.3 1.9 2.5 3.0 3.6 4.1 4.7 5.2 41.4 6.9 13.8 20.7 27.6 34.5 .4 0.3 1.0 1.7 2.4 3.0 3.7 4.4 5.1 5.8 6.5

33.5 5.6 11.2 16.8 22.3 27.9 .5 0.3 0.8 1.4 2.0 2.5 3.1 3.6 4.2 4.7 5.3 41.5 6.9 13.8 20.8 27.7 34.6 .5 0.3 1.0 1.7 2.4 3.1 3.8 4.5 5.2 5.9 6.633.6 5.6 11.2 16.8 22.4 28.0 .6 0.3 0.9 1.5 2.0 2.6 3.1 3.7 4.2 4.8 5.4 41.6 6.9 13.9 20.8 27.7 34.7 .6 0.4 1.1 1.8 2.5 3.2 3.9 4.6 5.3 5.9 6.633.7 5.6 11.3 16.9 22.5 28.1 .7 0.4 0.9 1.5 2.1 2.6 3.2 3.7 4.3 4.9 5.4 41.7 7.0 13.9 20.9 27.8 34.8 .7 0.5 1.2 1.9 2.6 3.3 3.9 4.6 5.3 6.0 6.733.8 5.7 11.3 16.9 22.6 28.2 .8 0.4 1.0 1.6 2.1 2.7 3.2 3.8 4.4 4.9 5.5 41.8 7.0 14.0 20.9 27.9 34.9 .8 0.6 1.2 1.9 2.6 3.3 4.0 4.7 5.4 6.1 6.833.9 5.7 11.3 17.0 22.6 28.3 .9 0.5 1.1 1.6 2.2 2.7 3.3 3.9 4.4 5.0 5.5 41.9 7.0 14.0 21.0 28.0 35.0 .9 0.6 1.3 2.0 2.7 3.4 4.1 4.8 5.5 6.2 6.8

34.0 5.6 11.3 17.0 22.6 28.3 .0 0.0 0.6 1.1 1.7 2.3 2.9 3.4 4.0 4.6 5.2 0.82.54.15.87.49.110.712.314.015.617.318.920.622.223.925.527.228.830.432.133.735.4

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.1

42.0 7.0 14.0 21.0 28.0 35.0 .0 0.0 0.7 1.4 2.1 2.8 3.5 4.2 5.0 5.7 6.4

1.03.04.96.98.9

10.812.814.816.718.720.722.724.626.628.630.532.534.5

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.7

34.1 5.7 11.3 17.0 22.7 28.4 .1 0.1 0.6 1.2 1.8 2.4 2.9 3.5 4.1 4.7 5.2 42.1 7.0 14.0 21.0 28.0 35.1 .1 0.1 0.8 1.5 2.2 2.9 3.6 4.3 5.0 5.7 6.434.2 5.7 11.4 17.1 22.8 28.5 .2 0.1 0.7 1.3 1.8 2.4 3.0 3.6 4.1 4.7 5.3 42.2 7.0 14.0 21.1 28.1 35.1 .2 0.1 0.8 1.6 2.3 3.0 3.7 4.4 5.1 5.8 6.534.3 5.7 11.4 17.1 22.9 28.6 .3 0.2 0.7 1.3 1.9 2.5 3.0 3.6 4.2 4.8 5.3 42.3 7.0 14.1 21.1 28.2 35.2 .3 0.2 0.9 1.6 2.3 3.0 3.8 4.5 5.2 5.9 6.634.4 5.7 11.5 17.2 22.9 28.7 .4 0.2 0.8 1.4 2.0 2.5 3.1 3.7 4.3 4.8 5.4 42.4 7.1 14.1 21.2 28.3 35.3 .4 0.3 1.0 1.7 2.4 3.1 3.8 4.5 5.2 5.9 6.7

34.5 5.8 11.5 17.3 23.0 28.8 .5 0.3 0.9 1.4 2.0 2.6 3.2 3.7 4.3 4.9 5.5 42.5 7.1 14.2 21.3 28.3 35.4 .5 0.4 1.1 1.8 2.5 3.2 3.9 4.6 5.3 6.0 6.734.6 5.8 11.5 17.3 23.1 28.8 .6 0.3 0.9 1.5 2.1 2.6 3.2 3.8 4.4 4.9 5.5 42.6 7.1 14.2 21.3 28.4 35.5 .6 0.4 1.1 1.8 2.5 3.3 4.0 4.7 5.4 6.1 6.834.7 5.8 11.6 17.4 23.2 28.9 .7 0.4 1.0 1.6 2.1 2.7 3.3 3.9 4.4 5.0 5.6 42.7 7.1 14.3 21.4 28.5 35.6 .7 0.5 1.2 1.9 2.6 3.3 4.0 4.7 5.5 6.2 6.934.8 5.8 11.6 17.4 23.2 29.0 .8 0.5 1.0 1.6 2.2 2.8 3.3 3.9 4.5 5.1 5.6 42.8 7.2 14.3 21.4 28.6 35.7 .8 0.6 1.3 2.0 2.7 3.4 4.1 4.8 5.5 6.2 6.934.9 5.9 11.7 17.5 23.3 29.1 .9 0.5 1.1 1.7 2.2 2.8 3.4 4.0 4.5 5.1 5.7 42.9 7.2 14.3 21.5 28.6 35.8 .9 0.6 1.3 2.1 2.8 3.5 4.2 4.9 5.6 6.3 7.0

35.0 5.8 11.6 17.5 23.3 29.1 .0 0.0 0.6 1.2 1.8 2.4 3.0 3.5 4.1 4.7 5.3 43.0 7.1 14.3 21.5 28.6 35.8 .0 0.0 0.7 1.4 2.2 2.9 3.6 4.3 5.1 5.8 6.535.1 5.8 11.7 17.5 23.4 29.2 .1 0.1 0.7 1.2 1.8 2.4 3.0 3.6 4.2 4.8 5.4 43.1 7.2 14.3 21.5 28.7 35.9 .1 0.1 0.8 1.5 2.2 3.0 3.7 4.4 5.1 5.9 6.635.2 5.8 11.7 17.6 23.4 29.3 .2 0.1 0.7 1.3 1.9 2.5 3.1 3.7 4.3 4.9 5.4 43.2 7.2 14.4 21.6 28.8 36.0 .2 0.1 0.9 1.6 2.3 3.0 3.8 4.5 5.2 5.9 6.735.3 5.9 11.8 17.6 23.5 29.4 .3 0.2 0.8 1.4 2.0 2.5 3.1 3.7 4.3 4.9 5.5 43.3 7.2 14.4 21.6 28.9 36.1 .3 0.2 0.9 1.7 2.4 3.1 3.8 4.6 5.3 6.0 6.735.4 5.9 11.8 17.7 23.6 29.5 .4 0.2 0.8 1.4 2.0 2.6 3.2 3.8 4.4 5.0 5.6 43.4 7.2 14.5 21.7 28.9 36.2 .4 0.3 1.0 1.7 2.5 3.2 3.9 4.6 5.4 6.1 6.8

35.5 5.9 11.8 17.8 23.7 29.6 .5 0.3 0.9 1.5 2.1 2.7 3.3 3.8 4.4 5.0 5.6 43.5 7.3 14.5 21.8 29.0 36.3 .5 0.4 1.1 1.8 2.5 3.3 4.0 4.7 5.4 6.2 6.935.6 5.9 11.9 17.8 23.7 29.7 .6 0.4 0.9 1.5 2.1 2.7 3.3 3.9 4.5 5.1 5.7 43.6 7.3 14.5 21.8 29.1 36.3 .6 0.4 1.2 1.9 2.6 3.3 4.1 4.8 5.5 6.2 7.035.7 6.0 11.9 17.9 23.8 29.8 .7 0.4 1.0 1.6 2.2 2.8 3.4 4.0 4.6 5.1 5.7 43.7 7.3 14.6 21.9 29.2 36.4 .7 0.5 1.2 2.0 2.7 3.4 4.1 4.9 5.6 6.3 7.035.8 6.0 12.0 17.9 23.9 29.9 .8 0.5 1.1 1.7 2.2 2.8 3.4 4.0 4.6 5.2 5.8 43.8 7.3 14.6 21.9 29.2 36.5 .8 0.6 1.3 2.0 2.8 3.5 4.2 4.9 5.7 6.4 7.135.9 6.0 12.0 18.0 24.0 30.0 .9 0.5 1.1 1.7 2.3 2.9 3.5 4.1 4.7 5.3 5.9 43.9 7.4 14.7 22.0 29.3 36.6 .9 0.7 1.4 2.1 2.8 3.6 4.3 5.0 5.7 6.5 7.2

10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′



SecondDiff.andCorr.


Diff.andCorr.



10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ ⇓ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′ ′

44.0 7.3 14.6 22.0 29.3 36.6 .0 0.0 0.7 1.5 2.2 3.0 3.7 4.4 5.2 5.9 6.7

1.13.25.37.59.611.713.916.018.120.322.424.526.728.830.933.135.2

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.6

52.0 8.6 17.3 26.0 34.6 43.3 .0 0.0 0.9 1.7 2.6 3.5 4.4 5.2 6.1 7.0 7.9 1.85.59.1

12.816.520.123.827.431.134.7

0.10.20.30.40.50.60.70.80.9

44.1 7.3 14.7 22.0 29.4 36.7 .1 0.1 0.8 1.6 2.3 3.0 3.8 4.5 5.3 6.0 6.7 52.1 8.7 17.3 26.0 34.7 43.4 .1 0.1 1.0 1.8 2.7 3.6 4.5 5.3 6.2 7.1 8.044.2 7.3 14.7 22.1 29.4 36.8 .2 0.1 0.9 1.6 2.4 3.1 3.9 4.6 5.3 6.1 6.8 52.2 8.7 17.4 26.1 34.8 43.5 .2 0.2 1.0 1.9 2.8 3.7 4.5 5.4 6.3 7.2 8.044.3 7.4 14.8 22.1 29.5 36.9 .3 0.2 1.0 1.7 2.4 3.2 3.9 4.7 5.4 6.2 6.9 52.3 8.7 17.4 26.1 34.9 43.6 .3 0.3 1.1 2.0 2.9 3.8 4.6 5.5 6.4 7.3 8.144.4 7.4 14.8 22.2 29.6 37.0 .4 0.3 1.0 1.8 2.5 3.3 4.0 4.7 5.5 6.2 7.0 52.4 8.7 17.5 26.2 34.9 43.7 .4 0.3 1.2 2.1 3.0 3.8 4.7 5.6 6.5 7.3 8.2

44.5 7.4 14.8 22.3 29.7 37.1 .5 0.4 1.1 1.9 2.6 3.3 4.1 4.8 5.6 6.3 7.0 52.5 8.8 17.5 26.3 35.0 43.8 .5 0.4 1.3 2.2 3.1 3.9 4.8 5.7 6.6 7.4 8.344.6 7.4 14.9 22.3 29.7 37.2 .6 0.4 1.2 1.9 2.7 3.4 4.2 4.9 5.6 6.4 7.1 52.6 8.8 17.5 26.3 35.1 43.8 .6 0.5 1.4 2.3 3.1 4.0 4.9 5.8 6.6 7.5 8.444.7 7.5 14.9 22.4 29.8 37.3 .7 0.5 1.3 2.0 2.7 3.5 4.2 5.0 5.7 6.5 7.2 52.7 8.8 17.6 26.4 35.2 43.9 .7 0.6 1.5 2.4 3.2 4.1 5.0 5.9 6.7 7.6 8.544.8 7.5 15.0 22.4 29.9 37.4 .8 0.6 1.3 2.1 2.8 3.6 4.3 5.0 5.8 6.5 7.3 52.8 8.8 17.6 26.4 35.2 44.0 .8 0.7 1.6 2.4 3.3 4.2 5.1 5.9 6.8 7.7 8.644.9 7.5 15.0 22.5 30.0 37.5 .9 0.7 1.4 2.2 2.9 3.6 4.4 5.1 5.9 6.6 7.3 52.9 8.9 17.7 26.5 35.3 44.1 .9 0.8 1.7 2.5 3.4 4.3 5.2 6.0 6.9 7.8 8.7

45.0 7.5 15.0 22.5 30.0 37.5 .0 0.0 0.8 1.5 2.3 3.0 3.8 4.5 5.3 6.1 6.8 53.0 8.8 17.6 26.5 35.3 44.1 .0 0.0 0.9 1.8 2.7 3.6 4.5 5.3 6.2 7.1 8.02.16.2

10.414.518.622.826.931.135.2

0.10.20.30.40.50.60.70.8

45.1 7.5 15.0 22.5 30.0 37.6 .1 0.1 0.8 1.6 2.4 3.1 3.9 4.6 5.4 6.1 6.9 53.1 8.8 17.7 26.5 35.4 44.2 .1 0.1 1.0 1.9 2.8 3.7 4.5 5.4 6.3 7.2 8.145.2 7.5 15.0 22.6 30.1 37.6 .2 0.2 0.9 1.7 2.4 3.2 3.9 4.7 5.5 6.2 7.0 53.2 8.8 17.7 26.6 35.4 44.3 .2 0.2 1.1 2.0 2.9 3.7 4.6 5.5 6.4 7.3 8.245.3 7.5 15.1 22.6 30.2 37.7 .3 0.2 1.0 1.7 2.5 3.3 4.0 4.8 5.5 6.3 7.1 53.3 8.9 17.8 26.6 35.5 44.4 .3 0.3 1.2 2.1 2.9 3.8 4.7 5.6 6.5 7.4 8.345.4 7.6 15.1 22.7 30.3 37.8 .4 0.3 1.1 1.8 2.6 3.3 4.1 4.9 5.6 6.4 7.1 53.4 8.9 17.8 26.7 35.6 44.5 .4 0.4 1.2 2.1 3.0 3.9 4.8 5.7 6.6 7.5 8.4

45.5 7.6 15.2 22.8 30.3 37.9 .5 0.4 1.1 1.9 2.7 3.4 4.2 4.9 5.7 6.4 7.2 53.5 8.9 17.8 26.8 35.7 44.6 .5 0.4 1.3 2.2 3.1 4.0 4.9 5.8 6.7 7.6 8.545.6 7.6 15.2 22.8 30.4 38.0 .6 0.5 1.2 2.0 2.7 3.5 4.2 5.0 5.8 6.5 7.3 53.6 8.9 17.9 26.8 35.7 44.7 .6 0.5 1.4 2.3 3.2 4.1 5.0 5.9 6.8 7.7 8.645.7 7.6 15.3 22.9 30.5 38.1 .7 0.5 1.3 2.0 2.8 3.6 4.3 5.1 5.8 6.6 7.4 53.7 9.0 17.9 26.9 35.8 44.8 .7 0.6 1.5 2.4 3.3 4.2 5.1 6.0 6.9 7.8 8.645.8 7.7 15.3 22.9 30.6 38.2 .8 0.6 1.4 2.1 2.9 3.6 4.4 5.2 5.9 6.7 7.4 53.8 9.0 18.0 26.9 35.9 44.9 .8 0.7 1.6 2.5 3.4 4.3 5.2 6.1 7.0 7.8 8.745.9 7.7 15.3 23.0 30.6 38.3 .9 0.7 1.4 2.2 3.0 3.7 4.5 5.2 6.0 6.7 7.5 53.9 9.0 18.0 27.0 36.0 45.0 .9 0.8 1.7 2.6 3.5 4.4 5.3 6.2 7.0 7.9 8.8

46.0 7.6 15.3 23.0 30.6 38.3 .0 0.0 0.8 1.5 2.3 3.1 3.9 4.6 5.4 6.2 7.0 1.23.55.88.110.512.815.117.419.822.124.426.729.131.433.736.0

0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.5

54.0 9.0 18.0 27.0 36.0 45.0 .0 0.0 0.9 1.8 2.7 3.6 4.5 5.4 6.4 7.3 8.2

2.47.2

12.016.821.626.431.236.0

0.10.20.30.40.50.60.7

46.1 7.7 15.3 23.0 30.7 38.4 .1 0.1 0.9 1.6 2.4 3.2 4.0 4.7 5.5 6.3 7.1 54.1 9.0 18.0 27.0 36.0 45.1 .1 0.1 1.0 1.9 2.8 3.7 4.6 5.5 6.4 7.4 8.346.2 7.7 15.4 23.1 30.8 38.5 .2 0.2 0.9 1.7 2.5 3.3 4.0 4.8 5.6 6.4 7.1 54.2 9.0 18.0 27.1 36.1 45.1 .2 0.2 1.1 2.0 2.9 3.8 4.7 5.6 6.5 7.4 8.446.3 7.7 15.4 23.1 30.9 38.6 .3 0.2 1.0 1.8 2.6 3.3 4.1 4.9 5.7 6.4 7.2 54.3 9.0 18.1 27.1 36.2 45.2 .3 0.3 1.2 2.1 3.0 3.9 4.8 5.7 6.6 7.5 8.446.4 7.7 15.5 23.2 30.9 38.7 .4 0.3 1.1 1.9 2.6 3.4 4.2 5.0 5.7 6.5 7.3 54.4 9.1 18.1 27.2 36.3 45.3 .4 0.4 1.3 2.2 3.1 4.0 4.9 5.8 6.7 7.6 8.5

46.5 7.8 15.5 23.3 31.0 38.8 .5 0.4 1.2 1.9 2.7 3.5 4.3 5.0 5.8 6.6 7.4 54.5 9.1 18.2 27.3 36.3 45.4 .5 0.5 1.4 2.3 3.2 4.1 5.0 5.9 6.8 7.7 8.646.6 7.8 15.5 23.3 31.1 38.8 .6 0.5 1.2 2.0 2.8 3.6 4.3 5.1 5.9 6.7 7.4 54.6 9.1 18.2 27.3 36.4 45.5 .6 0.5 1.5 2.4 3.3 4.2 5.1 6.0 6.9 7.8 8.746.7 7.8 15.6 23.4 31.2 38.9 .7 0.5 1.3 2.1 2.9 3.6 4.4 5.2 6.0 6.7 7.5 54.7 9.1 18.3 27.4 36.5 45.6 .7 0.6 1.5 2.5 3.4 4.3 5.2 6.1 7.0 7.9 8.846.8 7.8 15.6 23.4 31.2 39.0 .8 0.6 1.4 2.2 2.9 3.7 4.5 5.3 6.0 6.8 7.6 54.8 9.2 18.3 27.4 36.6 45.7 .8 0.7 1.6 2.5 3.5 4.4 5.3 6.2 7.1 8.0 8.946.9 7.9 15.7 23.5 31.3 39.1 .9 0.7 1.5 2.2 3.0 3.8 4.6 5.3 6.1 6.9 7.7 54.9 9.2 18.3 27.5 36.6 45.8 .9 0.8 1.7 2.6 3.5 4.5 5.4 6.3 7.2 8.1 9.0

47.0 7.8 15.6 23.5 31.3 39.1 .0 0.0 0.8 1.6 2.4 3.2 4.0 4.7 5.5 6.3 7.1 55.0 9.1 18.3 27.5 36.6 45.8 .0 0.0 0.9 1.8 2.8 3.7 4.6 5.5 6.5 7.4 8.3

2.98.6

14.420.225.931.737.5

0.10.20.30.40.50.6

47.1 7.8 15.7 23.5 31.4 39.2 .1 0.1 0.9 1.7 2.5 3.2 4.0 4.8 5.6 6.4 7.2 55.1 9.2 18.3 27.5 36.7 45.9 .1 0.1 1.0 1.9 2.9 3.8 4.7 5.6 6.6 7.5 8.447.2 7.8 15.7 23.6 31.4 39.3 .2 0.2 0.9 1.7 2.5 3.3 4.1 4.9 5.7 6.5 7.3 55.2 9.2 18.4 27.6 36.8 46.0 .2 0.2 1.1 2.0 3.0 3.9 4.8 5.7 6.7 7.6 8.547.3 7.9 15.8 23.6 31.5 39.4 .3 0.2 1.0 1.8 2.6 3.4 4.2 5.0 5.8 6.6 7.4 55.3 9.2 18.4 27.6 36.9 46.1 .3 0.3 1.2 2.1 3.1 4.0 4.9 5.8 6.8 7.7 8.647.4 7.9 15.8 23.7 31.6 39.5 .4 0.3 1.1 1.9 2.7 3.5 4.3 5.1 5.9 6.6 7.4 55.4 9.2 18.5 27.7 36.9 46.2 .4 0.4 1.3 2.2 3.1 4.1 5.0 5.9 6.8 7.8 8.7

47.5 7.9 15.8 23.8 31.7 39.6 .5 0.4 1.2 2.0 2.8 3.6 4.4 5.1 5.9 6.7 7.5

1.33.86.38.911.414.016.519.021.624.126.729.231.734.3

0.10.20.30.40.50.60.70.80.91.01.11.21.3

55.5 9.3 18.5 27.8 37.0 46.3 .5 0.5 1.4 2.3 3.2 4.2 5.1 6.0 6.9 7.9 8.847.6 7.9 15.9 23.8 31.7 39.7 .6 0.5 1.3 2.1 2.8 3.6 4.4 5.2 6.0 6.8 7.6 55.6 9.3 18.5 27.8 37.1 46.3 .6 0.6 1.5 2.4 3.3 4.3 5.2 6.1 7.0 8.0 8.947.7 8.0 15.9 23.9 31.8 39.8 .7 0.6 1.3 2.1 2.9 3.7 4.5 5.3 6.1 6.9 7.7 55.7 9.3 18.6 27.9 37.2 46.4 .7 0.6 1.6 2.5 3.4 4.3 5.3 6.2 7.1 8.0 9.047.8 8.0 16.0 23.9 31.9 39.9 .8 0.6 1.4 2.2 3.0 3.8 4.6 5.4 6.2 7.0 7.8 55.8 9.3 18.6 27.9 37.2 46.5 .8 0.7 1.7 2.6 3.5 4.4 5.4 6.3 7.2 8.1 9.147.9 8.0 16.0 24.0 32.0 40.0 .9 0.7 1.5 2.3 3.1 3.9 4.7 5.5 6.3 7.0 7.8 55.9 9.4 18.7 28.0 37.3 46.6 .9 0.8 1.8 2.7 3.6 4.5 5.5 6.4 7.3 8.2 9.2

48.0 8.0 16.0 24.0 32.0 40.0 .0 0.0 0.8 1.6 2.4 3.2 4.0 4.8 5.7 6.5 7.3 56.0 9.3 18.6 28.0 37.3 46.6 .0 0.0 0.9 1.9 2.8 3.8 4.7 5.6 6.6 7.5 8.5

3.610.918.225.532.840.1

0.10.20.30.40.5

48.1 8.0 16.0 24.0 32.0 40.1 .1 0.1 0.9 1.7 2.5 3.3 4.1 4.9 5.7 6.5 7.4 56.1 9.3 18.7 28.0 37.4 46.7 .1 0.1 1.0 2.0 2.9 3.9 4.8 5.7 6.7 7.6 8.648.2 8.0 16.0 24.1 32.1 40.1 .2 0.2 1.0 1.8 2.6 3.4 4.2 5.0 5.8 6.6 7.4 56.2 9.3 18.7 28.1 37.4 46.8 .2 0.2 1.1 2.1 3.0 4.0 4.9 5.8 6.8 7.7 8.748.3 8.0 16.1 24.1 32.2 40.2 .3 0.2 1.1 1.9 2.7 3.5 4.3 5.1 5.9 6.7 7.5 56.3 9.4 18.8 28.1 37.5 46.9 .3 0.3 1.2 2.2 3.1 4.0 5.0 5.9 6.9 7.8 8.848.4 8.1 16.1 24.2 32.3 40.3 .4 0.3 1.1 1.9 2.7 3.6 4.4 5.2 6.0 6.8 7.6 56.4 9.4 18.8 28.2 37.6 47.0 .4 0.4 1.3 2.3 3.2 4.1 5.1 6.0 7.0 7.9 8.9

48.5 8.1 16.2 24.3 32.3 40.4 .5 0.4 1.2 2.0 2.8 3.6 4.4 5.3 6.1 6.9 7.7 56.5 9.4 18.8 28.3 37.7 47.1 .5 0.5 1.4 2.4 3.3 4.2 5.2 6.1 7.1 8.0 8.948.6 8.1 16.2 24.3 32.4 40.5 .6 0.5 1.3 2.1 2.9 3.7 4.5 5.3 6.1 7.0 7.8 56.6 9.4 18.9 28.3 37.7 47.2 .6 0.6 1.5 2.4 3.4 4.3 5.3 6.2 7.2 8.1 9.048.7 8.1 16.3 24.4 32.5 40.6 .7 0.6 1.4 2.2 3.0 3.8 4.6 5.4 6.2 7.0 7.8 56.7 9.5 18.9 28.4 37.8 47.3 .7 0.7 1.6 2.5 3.5 4.4 5.4 6.3 7.3 8.2 9.148.8 8.2 16.3 24.4 32.6 40.7 .8 0.6 1.5 2.3 3.1 3.9 4.7 5.5 6.3 7.1 7.9 56.8 9.5 19.0 28.4 37.9 47.4 .8 0.8 1.7 2.6 3.6 4.5 5.5 6.4 7.3 8.3 9.248.9 8.2 16.3 24.5 32.6 40.8 .9 0.7 1.5 2.3 3.2 4.0 4.8 5.6 6.4 7.2 8.0 56.9 9.5 19.0 28.5 38.0 47.5 .9 0.8 1.8 2.7 3.7 4.6 5.6 6.5 7.4 8.4 9.3

49.0 8.1 16.3 24.5 32.6 40.8 .0 0.0 0.8 1.6 2.5 3.3 4.1 4.9 5.8 6.6 7.4

1.44.27.19.912.715.518.421.224.026.829.732.535.3

0.10.20.30.40.50.60.70.80.91.01.11.2

57.0 9.5 19.0 28.5 38.0 47.5 .0 0.0 1.0 1.9 2.9 3.8 4.8 5.7 6.7 7.7 8.6

5.015.025.035.1

0.10.20.3

49.1 8.2 16.3 24.5 32.7 40.9 .1 0.1 0.9 1.7 2.6 3.4 4.2 5.0 5.9 6.7 7.5 57.1 9.5 19.0 28.5 38.0 47.6 .1 0.1 1.1 2.0 3.0 3.9 4.9 5.8 6.8 7.8 8.749.2 8.2 16.4 24.6 32.8 41.0 .2 0.2 1.0 1.8 2.6 3.5 4.3 5.1 5.9 6.8 7.6 57.2 9.5 19.0 28.6 38.1 47.6 .2 0.2 1.1 2.1 3.1 4.0 5.0 5.9 6.9 7.9 8.849.3 8.2 16.4 24.6 32.9 41.1 .3 0.2 1.1 1.9 2.7 3.5 4.4 5.2 6.0 6.8 7.7 57.3 9.5 19.1 28.6 38.2 47.7 .3 0.3 1.2 2.2 3.2 4.1 5.1 6.0 7.0 8.0 8.949.4 8.2 16.5 24.7 32.9 41.2 .4 0.3 1.2 2.0 2.8 3.6 4.5 5.3 6.1 6.9 7.8 57.4 9.6 19.1 28.7 38.3 47.8 .4 0.4 1.3 2.3 3.3 4.2 5.2 6.1 7.1 8.0 9.0

49.5 8.3 16.5 24.8 33.0 41.3 .5 0.4 1.2 2.1 2.9 3.7 4.5 5.4 6.2 7.0 7.8 57.5 9.6 19.2 28.8 38.3 47.9 .5 0.5 1.4 2.4 3.4 4.3 5.3 6.2 7.2 8.1 9.149.6 8.3 16.5 24.8 33.1 41.3 .6 0.5 1.3 2.1 3.0 3.8 4.6 5.4 6.3 7.1 7.9 57.6 9.6 19.2 28.8 38.4 48.0 .6 0.6 1.5 2.5 3.4 4.4 5.4 6.3 7.3 8.2 9.249.7 8.3 16.6 24.9 33.2 41.4 .7 0.6 1.4 2.2 3.1 3.9 4.7 5.5 6.4 7.2 8.0 57.7 9.6 19.3 28.9 38.5 48.1 .7 0.7 1.6 2.6 3.5 4.5 5.5 6.4 7.4 8.3 9.349.8 8.3 16.6 24.9 33.2 41.5 .8 0.7 1.5 2.3 3.1 4.0 4.8 5.6 6.4 7.3 8.1 57.8 9.7 19.3 28.9 38.6 48.2 .8 0.8 1.7 2.7 3.6 4.6 5.6 6.5 7.5 8.4 9.449.9 8.4 16.7 25.0 33.3 41.6 .9 0.7 1.6 2.4 3.2 4.0 4.9 5.7 6.5 7.3 8.2 57.9 9.7 19.3 29.0 38.6 48.3 .9 0.9 1.8 2.8 3.7 4.7 5.7 6.6 7.6 8.5 9.5

50.0 8.3 16.6 25.0 33.3 41.6 .0 0.0 0.8 1.7 2.5 3.4 4.2 5.0 5.9 6.7 7.6 58.0 9.6 19.3 29.0 38.6 48.3 .0 0.0 1.0 1.9 2.9 3.9 4.9 5.8 6.8 7.8 8.8

8.224.641.0

0.10.2

50.1 8.3 16.7 25.0 33.4 41.7 .1 0.1 0.9 1.8 2.6 3.5 4.3 5.1 6.0 6.8 7.7 58.1 9.7 19.3 29.0 38.7 48.4 .1 0.1 1.1 2.0 3.0 4.0 5.0 5.9 6.9 7.9 8.950.2 8.3 16.7 25.1 33.4 41.8 .2 0.2 1.0 1.9 2.7 3.5 4.4 5.2 6.1 6.9 7.7 58.2 9.7 19.4 29.1 38.8 48.5 .2 0.2 1.2 2.1 3.1 4.1 5.1 6.0 7.0 8.0 9.050.3 8.4 16.8 25.1 33.5 41.9 .3 0.3 1.1 1.9 2.8 3.6 4.5 5.3 6.1 7.0 7.8 58.3 9.7 19.4 29.1 38.9 48.6 .3 0.3 1.3 2.2 3.2 4.2 5.2 6.1 7.1 8.1 9.150.4 8.4 16.8 25.2 33.6 42.0 .4 0.3 1.2 2.0 2.9 3.7 4.5 5.4 6.2 7.1 7.9 58.4 9.7 19.5 29.2 38.9 48.7 .4 0.4 1.4 2.3 3.3 4.3 5.3 6.2 7.2 8.2 9.2

50.5 8.4 16.8 25.3 33.7 42.1 .5 0.4 1.3 2.1 2.9 3.8 4.6 5.5 6.3 7.2 8.0

1.64.88.011.214.517.720.924.127.330.533.736.9

0.10.20.30.40.50.60.70.80.91.01.1

58.5 9.8 19.5 29.3 39.0 48.8 .5 0.5 1.5 2.4 3.4 4.4 5.4 6.3 7.3 8.3 9.350.6 8.4 16.9 25.3 33.7 42.2 .6 0.5 1.3 2.2 3.0 3.9 4.7 5.6 6.4 7.2 8.1 58.6 9.8 19.5 29.3 39.1 48.8 .6 0.6 1.6 2.5 3.5 4.5 5.5 6.4 7.4 8.4 9.450.7 8.5 16.9 25.4 33.8 42.3 .7 0.6 1.4 2.3 3.1 4.0 4.8 5.6 6.5 7.3 8.2 58.7 9.8 19.6 29.4 39.2 48.9 .7 0.7 1.7 2.6 3.6 4.6 5.6 6.5 7.5 8.5 9.550.8 8.5 17.0 25.4 33.9 42.4 .8 0.7 1.5 2.4 3.2 4.0 4.9 5.7 6.6 7.4 8.2 58.8 9.8 19.6 29.4 39.2 49.0 .8 0.8 1.8 2.7 3.7 4.7 5.7 6.6 7.6 8.6 9.650.9 8.5 17.0 25.5 34.0 42.5 .9 0.8 1.6 2.4 3.3 4.1 5.0 5.8 6.6 7.5 8.3 58.9 9.9 19.7 29.5 39.3 49.1 .9 0.9 1.9 2.8 3.8 4.8 5.8 6.7 7.7 8.7 9.7

51.0 8.5 17.0 25.5 34.0 42.5 .0 0.0 0.9 1.7 2.6 3.4 4.3 5.1 6.0 6.9 7.7 59.0 9.8 19.6 29.5 39.3 49.1 .0 0.0 1.0 2.0 3.0 4.0 5.0 5.9 6.9 7.9 8.9

16.248.6 0.1

51.1 8.5 17.0 25.5 34.0 42.6 .1 0.1 0.9 1.8 2.7 3.5 4.4 5.2 6.1 7.0 7.8 59.1 9.8 19.7 29.5 39.4 49.2 .1 0.1 1.1 2.1 3.1 4.1 5.1 6.0 7.0 8.0 9.051.2 8.5 17.0 25.6 34.1 42.6 .2 0.2 1.0 1.9 2.7 3.6 4.5 5.3 6.2 7.0 7.9 59.2 9.8 19.7 29.6 39.4 49.3 .2 0.2 1.2 2.2 3.2 4.2 5.2 6.1 7.1 8.1 9.151.3 8.5 17.1 25.6 34.2 42.7 .3 0.3 1.1 2.0 2.8 3.7 4.5 5.4 6.3 7.1 8.0 59.3 9.9 19.8 29.6 39.5 49.4 .3 0.3 1.3 2.3 3.3 4.3 5.3 6.2 7.2 8.2 9.251.4 8.6 17.1 25.7 34.3 42.8 .4 0.3 1.2 2.1 2.9 3.8 4.6 5.5 6.4 7.2 8.1 59.4 9.9 19.8 29.7 39.6 49.5 .4 0.4 1.4 2.4 3.4 4.4 5.4 6.3 7.3 8.3 9.3

51.5 8.6 17.2 25.8 34.3 42.9 .5 0.4 1.3 2.1 3.0 3.9 4.7 5.6 6.4 7.3 8.2 59.5 9.9 19.8 29.8 39.7 49.6 .5 0.5 1.5 2.5 3.5 4.5 5.5 6.4 7.4 8.4 9.4

0.048.2 0.0

51.6 8.6 17.2 25.8 34.4 43.0 .6 0.5 1.4 2.2 3.1 3.9 4.8 5.7 6.5 7.4 8.2 59.6 9.9 19.9 29.8 39.7 49.7 .6 0.6 1.6 2.6 3.6 4.6 5.6 6.5 7.5 8.5 9.551.7 8.6 17.3 25.9 34.5 43.1 .7 0.6 1.5 2.3 3.2 4.0 4.9 5.8 6.6 7.5 8.3 59.7 10.0 19.9 29.9 39.8 49.8 .7 0.7 1.7 2.7 3.7 4.7 5.7 6.6 7.6 8.6 9.651.8 8.7 17.3 25.9 34.6 43.2 .8 0.7 1.5 2.4 3.3 4.1 5.0 5.8 6.7 7.6 8.4 59.8 10.0 20.0 29.9 39.9 49.9 .8 0.8 1.8 2.8 3.8 4.8 5.8 6.7 7.7 8.7 9.751.9 8.7 17.3 26.0 34.6 43.3 .9 0.8 1.6 2.5 3.3 4.2 5.1 5.9 6.8 7.6 8.5 59.9 10.0 20.0 30.0 40.0 50.0 .9 0.9 1.9 2.9 3.9 4.9 5.9 6.8 7.8 8.8 9.8

10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′ 10′ 20′ 30′ 40′ 50′ 0′ 1′ 2′ 3′ 4′ 5′ 6′ 7′ 8′ 9′


III

PREFACE

This six-volume series ofSight Reduction Tables for Marine Navigationis designed to facilitate the practice ofcelestial navigation at sea by the Marcq Saint Hilaire or intercept method.

The tabular data are the solutions of the navigational triangle of which two sides and the included angle areknown and it is necessary to find the values of the third side and adjacent angle.

The tables, intended for use withThe Nautical Almanac, are designed for precise interpolation of altitude fordeclination by means of interpolation tables which facilitate linear interpolation and provide additionally for theeffect of second differences when required.

The concept, design, development, and preparation of these tables are the results of the collaborative effortsand joint accomplishments of the National Imagery and Mapping Agency, the U.S. Naval Observatory, and HerMajesty’s Nautical Almanac Office, Royal Greenwich Observatory. The tabular material in identical format hasbeen published in the United Kingdom by the Hydrographic Department, Ministry of Defence (Navy), as N.P. 401.

This reprint was compiled on a Hewlett Packard K420 server with an HP C180 client workstation, and wascomposed in its entirety as a digital document.

Users should refer corrections, additions, and comments for improving this product to:

MARITIME SAFETY INFORMATION CENTERST D 44NATIONAL IMAGERY AND MAPPING AGENCY4600 SANGAMORE ROADBETHESDA MD 20816-5003

IV

CONTENTS

PagePREFACE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .IIIINTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .V

A. DESCRIPTION OF TABLES1. Purpose and Scope. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .V2. Arrangement. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .V

B. INTERPOLATION1. Requirements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .X2. First and Second Differences. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .X3. Linear Interpolation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .X4. The Interpolation Table. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XI5. Interpolation when Second Differences are Required. . . . . . . . . . . . . . . . . . . . . . . . .XIII

C. SPECIAL TECHNIQUES1. Adjustment of Straight Line of Position. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XV2. Interpolation for Latitude and Local Hour Angle . . . . . . . . . . . . . . . . . . . . . . . . . . .XVII3. Interpolation near the Horizon. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XVII4. Negative Altitudes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XVIII5. Interpolation near the Zenith. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XVIII

D. OTHER APPLICATIONS1. Star Identification. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIX2. Great-Circle Sailing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XX3. Points along Great Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXIII4. General Spherical Triangle Solutions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXIII5. Compass Error. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXIV

E. BACKGROUND1. Accuracy of Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXV2. Computation Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXV

F. GLOSSARY. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXVIG. EXAMPLE SIGHT REDUCTIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXIX

TABLE OF OFFSETS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XVISIGHT REDUCTION TABLES

Latitudes 0° to 7° . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2-183Latitudes 8° to 15° . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184-365

INTERPOLATION TABLEDeclination Increment—0.0′ to 31.9′ . . . . . . . . . . . . . . . . . . . . . . . . . . . . Inside front coverDeclination Increment—28.0′ to 59.9′. . . . . . . . . . . . . . . . . . . . . . . . . . . . .Inside back cover

V

INTRODUCTION

A. DESCRIPTION OF TABLES

1. Purpose and Scope.The main purpose of these tables is to facilitate the practice of celestial navigation atsea. A secondary purpose is to provide, within the limitations of the tabular precision and interval, a table of thesolutions of a spherical triangle of which two sides and the included angle are known and it is necessary to find thevalues of the third side and adjacent angle.

The tables have been designed primarily for use with the Marcq Saint Hilaire or intercept method of sightreduction, utilizing a position assumed or chosen so that interpolation for latitude and local hour angle is notrequired.

For entering arguments of integral degrees of latitude, declination, and local hour angle, altitudes and theirdifferences are tabulated to the nearest tenth of a minute, azimuth angles to the nearest tenth of a degree. But thetables are designed for precise interpolation of altitude for declination only by means of interpolation tables whichfacilitate linear interpolation and provide additionally for the effect of second differences.

The data are applicable to the solutions of sights of all celestial bodies; there are no limiting values of altitude,latitude, hour angle, or declination.

2. Arrangement. The tables are divided into six volumes, each of which includes two eight-degree zones oflatitude. An overlap of 1° occurs between volumes. The six volumes cover latitude bands 0° to 15°, 15° to 30°, 30°to 45°, 45° to 60°, 60° to 75°, and 75° to 90°.

Each consecutive opening of the pages of a latitude zone differs from the preceding one by 1° of local hourangle (LHA). As shown in figures 1 and 2, the values of LHA are prominently displayed at the top and bottom ofeach page; the horizontal argument heading each column is latitude, and the vertical argument is declination.

For each combination of arguments, the tabulations are: the tabular altitude (ht or Tab. Hc), the altitudedifference (d) with its sign, and the azimuth angle (Z).

Within each opening, the data on the left-hand page are the altitudes, altitude differences, and azimuth anglesof celestial bodies when the latitude of the observer has the same name as the declinations of the bodies. For anyLHA tabulated on a left-hand page and any combination of the tabular latitude and declination arguments, thetabular altitude and associated azimuth angle respondents on the left-hand page are those of a body above thecelestial horizon of the observer.

The LHA’s tabulated on the left-hand pages are limited to the following ranges: 0° increasing to 90° and 360°decreasing to 270°. On any left-hand page there are two tabulated LHA’s, one LHA in the range 0° increasing to90° and the second in the range 360° decreasing to 270°.

On the right-hand page of each opening, the data above the horizontal rules are the tabular altitudes, altitudedifferences, and azimuth angles of celestial bodies above the celestial horizon when the latitude of the observer hasa name contrary to the name of the declinations of the bodies and the LHA’s of the bodies are those tabulated at thetop of the page. The data below the horizontal rules are the tabular altitudes, altitude differences, and azimuthangles of celestial bodies above the celestial horizon when the latitude of the observer has the same name as thedeclinations of the bodies and the LHA’s of the bodies are those tabulated at the bottom of the page.

The LHA’s tabulated at the top of a right-hand page are the same as those tabulated on the left-handpage of the opening. The LHA’s tabulated at the bottom of the right-hand page are limited to the range 90°increasing to 270°; one of the two LHA’s at the bottom of the page is in the range 90° increasing to 180°;the other LHA is in the range 180° increasing to 270°; the LHA in the range 90° increasing to 180° is thesupplement of the LHA at the top of the page in the range 0° increasing to 90°. When the LHA is 90°, theleft and right-hand pages are identical.

The horizontal rules, known as the Contrary-Same Line or C-S Line, indicate the degree of declina-tion in which the celestial horizon occurs.

LATITUDE SAME NAME AS DECLINATION60°, 300° L.H.A.INTRODUCTION

L.H.A. greater than 180° .....Zn=ZL.H.A. less than 180°.............Zn=360°–Z

8° 9° 10° 11° 12° 13° 14° 15° Dec. Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Dec. ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° 0 29 40.7 + 9.3 94.6 29 35.6 + 10.5 95.2 29 29.9 + 11.7 95.7 29 23.6 + 12.9 96.3 29 16.8 + 14.0 96.8 29 09.3 + 15.2 97.4 29 01.3 + 16.4 98.0 28 52.7 + 17.5 98.5 0 1 29 50.0 + 8.8 93.5 29 46.1 + 9.9 94.0 29 41.6 + 11.1 94.6 29 36.5 + 12.3 95.2 29 30.8 + 13.5 95.7 29 24.5 + 14.7 96.3 29 17.7 + 15.7 96.8 29 10.2 + 16.9 97.4 1 2 29 58.8 + 8.1 92.3 29 56.0 + 9.4 92.9 29 52.7 + 10.5 93.5 29 48.8 + 11.7 94.0 29 44.3 + 12.9 94.6 29 39.2 + 14.0 95.2 29 33.4 + 15.3 95.7 29 27.1 + 16.4 96.3 2 3 30 06.9 + 7.6 91.2 30 05.4 + 8.7 91.7 30 03.2 + 10.0 92.3 30 00.5 + 11.1 92.9 29 57.2 + 12.3 93.5 29 53.2 + 13.5 94.1 29 48.7 + 14.6 94.6 29 43.5 + 15.9 95.2 3 4 30 14.5 + 6.9 90.0 30 14.1 + 8.2 90.6 30 13.2 + 9.3 91.2 30 11.6 + 10.6 91.8 30 09.5 + 11.7 92.4 30 06.7 + 12.9 92.9 30 03.3 + 14.1 93.5 29 59.4 + 15.2 94.1 4 5 30 21.4 + 6.3 88.9 30 22.3 + 7.5 89.5 30 22.5 + 8.8 90.0 30 22.2 + 9.9 90.6 30 21.2 + 11.2 91.2 30 19.6 + 12.4 91.8 30 17.4 + 13.6 92.4 30 14.6 + 14.7 93.0 5 6 30 27.7 + 5.8 87.7 30 29.8 + 6.9 88.3 30 31.3 + 8.1 88.9 30 32.1 + 9.4 89.5 30 32.4 + 10.5 90.1 30 32.0 + 11.7 90.7 30 31.0 + 12.9 91.3 30 29.3 + 14.1 91.8 6 7 30 33.5 + 5.1 86.6 30 36.7 + 6.4 87.2 30 39.4 + 7.5 87.7 30 41.5 + 8.7 88.3 30 42.9 + 9.9 88.9 30 43.7 + 11.1 89.5 30 43.9 + 12.3 90.1 30 43.4 + 13.6 90.7 7 8 30 38.6 + 4.5 85.4 30 43.1 + 5.7 86.0 30 46.9 + 7.0 86.6 30 50.2 + 8.1 87.2 30 52.8 + 9.4 87.8 30 54.8 + 10.6 88.4 30 56.2 + 11.8 89.0 30 57.0 + 12.9 89.6 8 9 30 43.1 + 3.8 84.2 30 48.8 + 5.1 84.8 30 53.9 + 6.3 85.4 30 58.3 + 7.5 86.0 31 02.2 + 8.7 86.6 31 05.4 + 9.9 87.2 31 08.0 + 11.1 87.8 31 09.9 + 12.3 88.4 9 10 30 46.9 + 3.3 83.1 30 53.9 + 4.4 83.7 31 00.2 + 5.6 84.3 31 05.8 + 6.9 84.9 31 10.9 + 8.1 85.5 31 15.3 + 9.3 86.1 31 19.1 + 10.5 86.7 31 22.2 + 11.7 87.3 10 11 30 50.2 + 2.6 81.9 30 58.3 + 3.9 82.5 31 05.8 + 5.1 83.1 31 12.7 + 6.3 83.7 31 19.0 + 7.4 84.3 31 24.6 + 8.7 84.9 31 29.6 + 9.9 85.5 31 33.9 + 11.1 86.1 11 12 30 52.8 + 2.0 80.8 31 02.2 + 3.2 81.4 31 10.9 + 4.4 81.9 31 19.0 + 5.6 82.5 31 26.4 + 6.9 83.2 31 33.3 + 8.0 83.8 31 39.5 + 9.2 84.4 31 45.0 + 10.5 85.0 12 13 30 54.8 + 1.4 79.6 31 05.4 + 2.6 80.2 31 15.3 + 3.8 80.8 31 24.6 + 5.0 81.4 31 33.3 + 6.2 82.0 31 41.3 + 7.4 82.6 31 48.7 + 8.6 83.2 31 55.5 + 9.8 83.8 13 14 30 56.2 + 0.8 78.4 31 08.0 + 1.9 79.0 31 19.1 + 3.1 79.6 31 29.6 + 4.3 80.2 31 39.5 + 5.5 80.8 31 48.7 + 6.8 81.4 31 57.3 + 8.0 82.0 32 05.3 + 9.2 82.7 14 15 30 57.0 + 0.1 77.3 31 09.9 + 1.3 77.9 31 22.2 + 2.5 78.4 31 33.9 + 3.7 79.0 31 45.0 + 4.9 79.7 31 55.5 + 6.1 80.3 32 05.3 + 7.4 80.9 32 14.5 + 8.6 81.5 15 16 30 57.1 – 0.5 76.1 31 11.2 + 0.7 76.7 31 24.7 + 1.9 77.3 31 37.6 + 3.1 77.9 31 49.9 + 4.3 78.5 32 01.6 + 5.5 79.1 32 12.7 + 6.6 79.7 32 23.1 + 7.8 80.3 16 17 30 56.6 – 1.1 74.9 31 11.9 + 0.1 75.5 31 26.6 + 1.2 76.1 31 40.7 + 2.4 76.7 31 54.2 + 3.6 77.3 32 07.1 + 4.8 77.9 32 19.3 + 6.1 78.5 32 30.9 + 7.3 79.2 17 18 30 55.5 – 1.8 73.8 31 12.0 – 0.6 74.3 31 27.8 + 0.6 74.9 31 43.1 + 1.8 75.5 31 57.8 + 3.0 76.1 32 11.9 + 4.2 76.7 32 25.4 + 5.3 77.4 32 38.2 + 6.6 78.0 18 19 30 53.7 – 2.4 72.6 31 11.4 – 1.3 73.2 31 28.4 0.0 73.8 31 44.9 + 1.2 74.4 32 00.8 + 2.3 75.0 32 16.1 + 3.5 75.6 32 30.7 + 4.7 76.2 32 44.8 + 5.9 76.8 19 20 30 51.3 – 3.0 71.4 31 10.1 – 1.8 72.0 31 28.4 – 0.7 72.6 31 46.1 + 0.4 73.2 32 03.1 + 1.7 73.8 32 19.6 + 2.8 74.4 32 35.4 + 4.1 75.0 32 50.7 + 5.2 75.6 20 21 30 48.3 – 3.6 70.3 31 08.3 – 2.5 70.8 31 27.7 – 1.3 71.4 31 46.5 – 0.1 72.0 32 04.8 + 1.0 72.6 32 22.4 + 2.2 73.2 32 39.5 + 3.3 73.8 32 55.9 + 4.6 74.4 21 22 30 44.7 – 4.3 69.1 31 05.8 – 3.1 69.7 31 26.4 – 2.0 70.2 31 46.4 – 0.8 70.8 32 05.8 + 0.3 71.4 32 24.6 + 1.5 72.0 32 42.8 + 2.7 72.6 33 00.5 + 3.8 73.2 22 23 30 40.4 – 4.8 68.0 31 02.7 – 3.7 68.5 31 24.4 – 2.6 69.1 31 45.6 – 1.5 69.6 32 06.1 – 0.3 70.2 32 26.1 + 0.9 70.8 32 45.5 + 2.1 71.4 33 04.3 + 3.3 72.0 23 24 30 35.6 – 5.5 66.8 30 59.0 – 4.4 67.3 31 21.8 – 3.2 67.9 31 44.1 – 2.1 68.5 32 05.8 – 0.9 69.1 32 27.0 + 0.2 69.6 32 47.6 + 1.3 70.2 33 07.6 + 2.5 70.9 24 25 30 30.1 – 6.1 65.6 30 54.6 – 5.0 66.2 31 18.6 – 3.9 66.7 31 42.0 – 2.8 67.3 32 04.9 – 1.7 67.9 32 27.2 – 0.5 68.5 32 48.9 + 0.7 69.1 33 10.1 + 1.8 69.7 25 26 30 24.0 – 6.7 64.5 30 49.6 – 5.6 65.0 31 14.7 – 4.5 65.6 31 39.2 – 3.4 66.1 32 03.2 – 2.2 66.7 32 26.7 – 1.1 67.3 32 49.6 0.0 67.9 33 11.9 + 1.2 68.5 26 27 30 17.3 – 7.3 63.3 30 44.0 – 6.2 63.9 31 10.2 – 5.2 64.4 31 35.8 – 4.0 64.9 32 01.0 – 3.0 65.5 32 25.6 – 1.8 66.1 32 49.6 – 0.7 66.7 33 13.1 + 0.4 67.3 27 28 30 10.0 – 7.9 62.2 30 37.8 – 6.9 62.7 31 05.0 – 5.7 63.2 31 31.8 – 4.7 63.8 31 58.0 – 3.5 64.3 32 23.8 – 2.5 64.9 32 48.9 – 1.3 65.5 33 13.5 – 0.2 66.1 28 29 30 02.1 – 8.5 61.0 30 30.9 – 7.4 61.5 30 59.3 – 6.4 62.1 31 27.1 – 5.3 62.6 31 54.5 – 4.3 63.2 32 21.3 – 3.1 63.7 32 47.6 – 2.0 64.3 33 13.3 – 0.9 64.9 29 30 29 53.6 – 9.1 59.9 30 23.5 – 8.1 60.4 30 52.9 – 7.0 60.9 31 21.8 – 6.0 61.4 31 50.2 – 4.8 62.0 32 18.2 – 3.8 62.5 32 45.6 – 2.7 63.1 33 12.4 – 1.6 63.7 30 31 29 44.5 – 9.7 58.8 30 15.4 – 8.6 59.2 30 45.9 – 7.7 59.8 31 15.8 – 6.5 60.3 31 45.4 – 5.6 60.8 32 14.4 – 4.5 61.4 32 42.9 – 3.4 61.9 33 10.8 – 2.2 62.5 31 32 29 34.8 – 10.2 57.6 30 06.8 – 9.3 58.1 30 38.2 – 8.2 58.6 31 09.3 – 7.2 59.1 31 39.8 – 6.1 59.6 32 09.9 – 5.1 60.2 32 39.5 – 4.0 60.7 33 08.6 – 3.0 61.3 32 33 29 24.6 – 10.8 56.5 29 57.5 – 9.8 57.0 30 30.0 – 8.8 57.5 31 02.1 – 7.9 58.0 31 33.7 – 6.8 58.5 32 04.8 – 5.7 59.0 32 35.5 – 4.7 59.5 33 05.6 – 3.6 60.1 33 34 29 13.8 – 11.4 55.4 29 47.7 – 10.4 55.8 30 21.2 – 9.5 56.3 30 54.2 – 8.4 56.8 31 26.9 – 7.5 57.3 31 59.1 – 6.4 57.8 32 30.8 – 5.4 58.4 33 02.0 – 4.3 58.9 34 35 29 02.4 – 12.0 54.2 29 37.3 – 11.0 54.7 30 11.7 – 10.0 55.2 30 45.8 – 9.0 55.6 31 19.4 – 8.0 56.1 31 52.7 – 7.1 56.7 32 25.4 – 6.0 57.2 32 57.7 – 5.0 57.7 35 36 28 50.4 – 12.5 53.1 29 26.3 – 11.6 53.6 30 01.7 – 10.6 54.0 30 36.8 – 9.7 54.5 31 11.4 – 8.7 55.0 31 45.6 – 7.7 55.5 32 19.4 – 6.7 56.0 32 52.7 – 5.7 56.5 36 37 28 37.9 – 13.0 52.0 29 14.7 – 12.1 52.4 29 51.1 – 11.2 52.9 30 27.1 – 10.2 53.4 31 02.7 – 9.3 53.8 31 37.9 – 8.3 54.3 32 12.7 – 7.3 54.8 32 47.0 – 6.3 55.4 37 38 28 24.9 – 13.6 50.9 29 02.6 – 12.7 51.3 29 39.9 – 11.8 51.8 30 16.9 – 10.9 52.2 30 53.4 – 9.9 52.7 31 29.6 – 8.9 53.2 32 05.4 – 8.0 53.7 32 40.7 – 7.0 54.2 38 39 28 11.3 – 14.1 49.8 28 49.9 – 13.2 50.2 29 28.1 – 12.3 50.6 30 06.0 – 11.4 51.1 30 43.5 – 10.5 51.5 31 20.7 – 9.6 52.0 31 57.4 – 8.6 52.5 32 33.7 – 7.6 53.0 39 40 27 57.2 – 14.6 48.7 28 36.7 – 13.8 49.1 29 15.8 – 12.9 49.5 29 54.6 – 12.0 49.9 30 33.0 – 11.1 50.4 31 11.1 – 10.2 50.8 31 48.8 – 9.3 51.3 32 26.1 – 8.3 51.8 40 41 27 42.6 – 15.2 47.6 28 22.9 – 14.3 48.0 29 02.9 – 13.5 48.4 29 42.6 – 12.6 48.8 30 21.9 – 11.7 49.2 31 00.9 – 10.8 49.7 31 39.5 – 9.8 50.2 32 17.8 – 9.0 50.6 41 42 27 27.4 – 15.6 46.5 28 08.6 – 14.9 46.9 28 49.4 – 14.0 47.3 29 30.0 – 13.2 47.7 30 10.2 – 12.3 48.1 30 50.1 – 11.4 48.5 31 29.7 – 10.5 49.0 32 08.8 – 9.6 49.5 42 43 27 11.8 – 16.2 45.4 27 53.7 – 15.3 45.8 28 35.4 – 14.5 46.2 29 16.8 – 13.7 46.6 29 57.9 – 12.8 47.0 30 38.7 – 12.0 47.4 31 19.2 – 11.2 47.9 31 59.2 – 10.2 48.3 43 44 26 55.6 – 16.7 44.3 27 38.4 – 15.9 44.7 28 20.9 – 15.1 45.1 29 03.1 – 14.2 45.4 29 45.1 – 13.4 45.9 30 26.7 – 12.6 46.3 31 08.0 – 11.7 46.7 31 49.0 – 10.8 47.1 44 45 26 38.9 – 17.1 43.2 27 22.5 – 16.4 43.6 28 05.8 – 15.6 44.0 28 48.9 – 14.8 44.3 29 31.7 – 14.0 44.7 30 14.1 – 13.1 45.1 30 56.3 – 12.3 45.6 31 38.2 – 11.5 46.0 45 46 26 21.8 – 17.6 42.2 27 06.1 – 16.8 42.5 27 50.2 – 16.1 42.9 28 34.1 – 15.3 43.2 29 17.7 – 14.6 43.6 30 01.0 – 13.8 44.0 30 44.0 – 13.0 44.4 31 26.7 – 12.1 44.8 46 47 26 04.2 – 18.1 41.1 26 49.3 – 17.4 41.4 27 34.1 – 16.6 41.8 28 18.8 – 15.9 42.1 29 03.1 – 15.1 42.5 29 47.2 – 14.3 42.9 30 31.0 – 13.5 43.3 31 14.6 – 12.7 43.7 47 48 25 46.1 – 18.5 40.1 26 31.9 – 17.8 40.4 27 17.5 – 17.1 40.7 28 02.9 – 16.4 41.0 28 48.0 – 15.6 41.4 29 32.9 – 14.9 41.8 30 17.5 – 14.1 42.2 31 01.9 – 13.3 42.6 48 49 25 27.6 – 19.0 39.0 26 14.1 – 18.3 39.3 27 00.4 – 17.6 39.6 27 46.5 – 16.9 40.0 28 32.4 – 16.1 40.3 29 18.0 – 15.4 40.7 30 03.4 – 14.6 41.0 30 48.6 – 13.9 41.4 49 50 25 08.6 – 19.4 37.9 25 55.8 – 18.8 38.2 26 42.8 – 18.1 38.5 27 29.6 – 17.3 38.9 28 16.3 – 16.7 39.2 29 02.6 – 15.9 39.5 29 48.8 – 15.3 39.9 30 34.7 – 14.5 40.3 50 51 24 49.2 – 19.9 36.9 25 37.0 – 19.2 37.2 26 24.7 – 18.5 37.5 27 12.3 – 17.9 37.8 27 59.6 – 17.2 38.1 28 46.7 – 16.5 38.4 29 33.5 – 15.7 38.8 30 20.2 – 15.1 39.2 51 52 24 29.3 – 20.3 35.9 25 17.8 – 19.6 36.1 26 06.2 – 19.0 36.4 26 54.4 – 18.4 36.7 27 42.4 – 17.7 37.0 28 30.2 – 17.0 37.4 29 17.8 – 16.4 37.7 30 05.1 – 15.6 38.0 52 53 24 09.0 – 20.7 34.8 24 58.2 – 20.1 35.1 25 47.2 – 19.5 35.4 26 36.0 – 18.8 35.7 27 24.7 – 18.2 36.0 28 13.2 – 17.6 36.3 29 01.4 – 16.8 36.6 29 49.5 – 16.2 36.9 53 54 23 48.3 – 21.1 33.8 24 38.1 – 20.5 34.1 25 27.7 – 19.9 34.3 26 17.2 – 19.3 34.6 27 06.5 – 18.7 34.9 27 55.6 – 18.0 35.2 28 44.6 – 17.4 35.5 29 33.3 – 16.7 35.8 54 55 23 27.2 – 21.5 32.8 24 17.6 – 21.0 33.0 25 07.8 – 20.3 33.3 25 57.9 – 19.8 33.5 26 47.8 – 19.1 33.8 27 37.6 – 18.5 34.1 28 27.2 – 17.9 34.4 29 16.6 – 17.3 34.7 55 56 23 05.7 – 21.9 31.8 23 56.6 – 21.3 32.0 24 47.5 – 20.8 32.2 25 38.1 – 20.2 32.5 26 28.7 – 19.6 32.8 27 19.1 – 19.1 33.0 28 09.3 – 18.4 33.3 28 59.3 – 17.8 33.6 56 57 22 43.8 – 22.3 30.8 23 35.3 – 21.7 31.0 24 26.7 – 21.2 31.2 25 17.9 – 20.6 31.4 26 09.1 – 20.1 31.7 27 00.0 – 19.5 32.0 27 50.9 – 19.0 32.2 28 41.5 – 18.3 32.5 57 58 22 21.5 – 22.6 29.8 23 13.6 – 22.2 30.0 24 05.5 – 21.6 30.2 24 57.3 – 21.1 30.4 25 49.0 – 20.5 30.7 26 40.5 – 19.9 30.9 27 31.9 – 19.4 31.2 28 23.2 – 18.8 31.4 58 59 21 58.9 – 23.0 28.8 22 51.4 – 22.5 28.9 23 43.9 – 22.0 29.2 24 36.2 – 21.5 29.4 25 28.5 – 21.0 29.6 26 20.6 – 20.5 29.8 27 12.5 – 19.9 30.1 28 04.4 – 19.4 30.4 59 60 21 35.9 – 23.4 27.8 22 28.9 – 22.8 27.9 23 21.9 – 22.4 28.1 24 14.7 – 21.8 28.4 25 07.5 – 21.4 28.6 26 00.1 – 20.8 28.8 26 52.6 – 20.3 29.0 27 45.0 – 19.8 29.3 60 61 21 12.5 – 23.7 26.8 22 06.1 – 23.3 26.9 22 59.5 – 22.8 27.1 23 52.9 – 22.3 27.3 24 46.1 – 21.8 27.5 25 39.3 – 21.4 27.8 26 32.3 – 20.8 28.0 27 25.2 – 20.3 28.2 61 62 20 48.8 – 24.0 25.8 21 42.8 – 23.6 26.0 22 36.7 – 23.1 26.1 23 30.6 – 22.7 26.3 24 24.3 – 22.2 26.5 25 17.9 – 21.7 26.7 26 11.5 – 21.3 26.9 27 04.9 – 20.8 27.2 62 63 20 24.8 – 24.4 24.8 21 19.2 – 23.9 25.0 22 13.6 – 23.5 25.1 23 07.9 – 23.1 25.3 24 02.1 – 22.7 25.5 24 56.2 – 22.2 25.7 25 50.2 – 21.7 25.9 26 44.1 – 21.2 26.1 63 64 20 00.4 – 24.6 23.8 20 55.3 – 24.3 24.0 21 50.1 – 23.9 24.1 22 44.8 – 23.4 24.3 23 39.4 – 23.0 24.5 24 34.0 – 22.6 24.7 25 28.5 – 22.2 24.9 26 22.9 – 21.7 25.1 64 65 19 35.8 – 25.0 22.9 20 31.0 – 24.6 23.0 21 26.2 – 24.2 23.2 22 21.4 – 23.9 23.3 23 16.4 – 23.4 23.5 24 11.4 – 23.0 23.7 25 06.3 – 22.5 23.8 26 01.2 – 22.2 24.0 65 66 19 10.8 – 25.3 21.9 20 06.4 – 24.9 22.0 21 02.0 – 24.5 22.2 21 57.5 – 24.1 22.3 22 53.0 – 23.8 22.5 23 48.4 – 23.4 22.6 24 43.8 – 23.0 22.8 25 39.0 – 22.5 23.0 66 67 18 45.5 – 25.6 20.9 19 41.5 – 25.2 21.1 20 37.5 – 24.9 21.2 21 33.4 – 24.5 21.3 22 29.2 – 24.1 21.5 23 25.0 – 23.7 21.6 24 20.8 – 23.4 21.8 25 16.5 – 23.0 22.0 67 68 18 19.9 – 25.9 20.0 19 16.3 – 25.6 20.1 20 12.6 – 25.2 20.2 21 08.9 – 24.9 20.4 22 05.1 – 24.5 20.5 23 01.3 – 24.2 20.6 23 57.4 – 23.8 20.8 24 53.5 – 23.4 21.0 68 69 17 54.0 – 26.1 19.0 18 50.7 – 25.8 19.1 19 47.4 – 25.5 19.3 20 44.0 – 25.1 19.4 21 40.6 – 24.8 19.5 22 37.1 – 24.5 19.6 23 33.6 – 24.1 19.8 24 30.1 – 23.9 19.9 69 70 17 27.9 – 26.4 18.1 18 24.9 – 26.1 18.2 19 21.9 – 25.8 18.3 20 18.9 – 25.5 18.4 21 15.8 – 25.2 18.5 22 12.6 – 24.8 18.7 23 09.5 – 24.6 18.8 24 06.2 – 24.2 18.9 70 71 17 01.5 – 26.7 17.1 17 58.8 – 26.4 17.2 18 56.1 – 26.1 17.3 19 53.4 – 25.8 17.4 20 50.6 – 25.5 17.6 21 47.8 – 25.2 17.7 22 44.9 – 24.9 17.8 23 42.0 – 24.6 17.9 71 72 16 34.8 – 26.9 16.2 17 32.4 – 26.6 16.3 18 30.0 – 26.4 16.4 19 27.6 – 26.1 16.5 20 25.1 – 25.8 16.6 21 22.6 – 25.6 16.7 22 20.0 – 25.2 16.8 23 17.4 – 24.9 16.9 72 73 16 07.9 – 27.1 15.3 17 05.8 – 26.9 15.4 18 03.6 – 26.6 15.4 19 01.5 – 26.4 15.5 19 59.3 – 26.2 15.6 20 57.0 – 25.8 15.7 21 54.8 – 25.6 15.8 22 52.5 – 25.4 16.0 73 74 15 40.8 – 27.4 14.4 16 38.9 – 27.2 14.4 17 37.0 – 26.9 14.5 18 35.1 – 26.7 14.6 19 33.1 – 26.4 14.7 20 31.2 – 26.2 14.8 21 29.2 – 26.0 14.9 22 27.1 – 25.6 15.0 74 75 15 13.4 – 27.6 13.4 16 11.7 – 27.3 13.5 17 10.1 – 27.2 13.6 18 08.4 – 27.0 13.6 19 06.7 – 26.7 13.7 20 05.0 – 26.5 13.8 21 03.2 – 26.2 13.9 22 01.5 – 26.1 14.0 75 76 14 45.8 – 27.8 12.5 15 44.4 – 27.7 12.6 16 42.9 – 27.4 12.6 17 41.4 – 27.2 12.7 18 40.0 – 27.0 12.8 19 38.5 – 26.8 12.9 20 37.0 – 26.6 12.9 21 35.4 – 26.3 13.0 76 77 14 18.0 – 28.1 11.6 15 16.7 – 27.8 11.7 16 15.5 – 27.7 11.7 17 14.2 – 27.4 11.8 18 13.0 – 27.3 11.8 19 11.7 – 27.1 11.9 20 10.4 – 26.9 12.0 21 09.1 – 26.7 12.1 77 78 13 49.9 – 28.2 10.7 14 48.9 – 28.1 10.7 15 47.8 – 27.9 10.8 16 46.8 – 27.8 10.8 17 45.7 – 27.6 10.9 18 44.6 – 27.4 11.0 19 43.5 – 27.2 11.0 20 42.4 – 27.0 11.1 78 79 13 21.7 – 28.4 9.8 14 20.8 – 28.3 9.8 15 19.9 – 28.1 9.9 16 19.0 – 27.9 9.9 17 18.1 – 27.8 10.0 18 17.2 – 27.6 10.0 19 16.3 – 27.5 10.1 20 15.4 – 27.3 10.1 79 80 12 53.3 – 28.7 8.9 13 52.5 – 28.4 8.9 14 51.8 – 28.3 9.0 15 51.1 – 28.2 9.0 16 50.3 – 28.0 9.0 17 49.6 – 27.9 9.1 18 48.8 – 27.7 9.1 19 48.1 – 27.7 9.2 80 81 12 24.6 – 28.8 8.0 13 24.1 – 28.7 8.0 14 23.5 – 28.6 8.0 15 22.9 – 28.4 8.1 16 22.3 – 28.3 8.1 17 21.7 – 28.2 8.2 18 21.1 – 28.1 8.2 19 20.4 – 27.9 8.3 81 82 11 55.8 – 28.9 7.1 12 55.4 – 28.9 7.1 13 54.9 – 28.7 7.1 14 54.5 – 28.7 7.2 15 54.0 – 28.5 7.2 16 53.5 – 28.4 7.2 17 53.0 – 28.3 7.3 18 52.5 – 28.1 7.3 82 83 11 26.9 – 29.2 6.2 12 26.5 – 29.0 6.2 13 26.2 – 29.0 6.2 14 25.8 – 28.8 6.3 15 25.5 – 28.8 6.3 16 25.1 – 28.7 6.3 17 24.7 – 28.5 6.4 18 24.4 – 28.5 6.4 83 84 10 57.7 – 29.2 5.3 11 57.5 – 29.2 5.3 12 57.2 – 29.1 5.3 13 57.0 – 29.1 5.4 14 56.7 – 29.0 5.4 15 56.4 – 28.8 5.4 16 56.2 – 28.8 5.4 17 55.9 – 28.7 5.5 84 85 10 28.5 – 29.5 4.4 11 28.3 – 29.4 4.4 12 28.1 – 29.3 4.4 13 27.9 – 29.2 4.5 14 27.7 – 29.1 4.5 15 27.6 – 29.1 4.5 16 27.4 – 29.1 4.5 17 27.2 – 29.0 4.5 85 86 9 59.0 – 29.5 3.5 10 58.9 – 29.5 3.5 11 58.8 – 29.5 3.5 12 58.7 – 29.4 3.6 13 58.6 – 29.4 3.6 14 58.5 – 29.4 3.6 15 58.3 – 29.2 3.6 16 58.2 – 29.2 3.6 86 87 9 29.5 – 29.7 2.6 10 29.4 – 29.7 2.6 11 29.3 – 29.6 2.7 12 29.3 – 29.6 2.7 13 29.2 – 29.5 2.7 14 29.1 – 29.5 2.7 15 29.1 – 29.5 2.7 16 29.0 – 29.4 2.7 87 88 8 59.8 – 29.9 1.8 9 59.7 – 29.8 1.8 10 59.7 – 29.8 1.8 11 59.7 – 29.8 1.8 12 59.7 – 29.8 1.8 13 59.6 – 29.7 1.8 14 59.6 – 29.7 1.8 15 59.6 – 29.7 1.8 88 89 8 29.9 – 29.9 0.9 9 29.9 – 29.9 0.9 10 29.9 – 29.9 0.9 11 29.9 – 29.9 0.9 12 29.9 – 29.9 0.9 13 29.9 – 29.9 0.9 14 29.9 – 29.9 0.9 15 29.9 – 29.9 0.9 89

90 8 00.0 – 30.1 0.0 9 00.0 – 30.1 0.0 10 00.0 – 30.1 0.0 11 00.0 – 30.1 0.0 12 00.0 – 30.1 0.0 13 00.0 – 30.1 0.0 14 00.0 – 30.1 0.0 15 00.0 – 30.1 0.0 90

8° 9° 10° 11° 12° 13° 14° 15°

60°, 300° L.H.A. LATITUDE SAME NAME AS DECLINATIONFIGURE1

VI

N. Lat. {

LATITUDE CONTRARY NAME TO DECLINATION L.H.A. 60°, 300°8° 9° 10° 11° 12° 13° 14° 15°

Dec. Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Dec. ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° ′ ′ ° ° 0 29 40.7 – 9.9 94.6 29 35.6 – 11.1 95.2 29 29.9 – 12.2 95.7 29 23.6 – 13.4 96.3 29 16.8 – 14.6 96.8 29 09.3 – 15.7 97.4 29 01.3 – 16.8 98.0 28 52.7 – 18.0 98.5 0 1 29 30.8 – 10.5 95.7 29 24.5 – 11.6 96.3 29 17.7 – 12.8 96.8 29 10.2 – 13.9 97.4 29 02.2 – 15.1 98.0 28 53.6 – 16.2 98.5 28 44.5 – 17.4 99.0 28 34.7 – 18.5 99.6 1 2 29 20.3 – 11.0 96.9 29 12.9 – 12.2 97.4 29 04.9 – 13.4 98.0 28 56.3 – 14.6 98.5 28 47.1 – 15.7 99.1 28 37.4 – 16.8 99.6 28 27.1 – 17.9 100.1 28 16.2 – 19.0 100.7 2 3 29 09.3 – 11.6 98.0 29 00.7 – 12.8 98.5 28 51.5 – 13.9 99.1 28 41.7 – 15.0 99.6 28 31.4 – 16.2 100.2 28 20.6 – 17.3 100.7 28 09.2 – 18.5 101.2 27 57.2 – 19.5 101.7 3 4 28 57.7 – 12.2 99.1 28 47.9 – 13.3 99.7 28 37.6 – 14.5 100.2 28 26.7 – 15.6 100.7 28 15.2 – 16.7 101.3 28 03.3 – 17.9 101.8 27 50.7 – 18.9 102.3 27 37.7 – 20.0 102.8 4 5 28 45.5 – 12.7 100.2 28 34.6 – 13.9 100.8 28 23.1 – 15.0 101.3 28 11.1 – 16.1 101.8 27 58.5 – 17.2 102.3 27 45.4 – 18.3 102.9 27 31.8 – 19.4 103.4 27 17.7 – 20.5 103.9 5 6 28 32.8 – 13.3 101.3 28 20.7 – 14.4 101.9 28 08.1 – 15.5 102.4 27 55.0 – 16.7 102.9 27 41.3 – 17.7 103.4 27 27.1 – 18.8 103.9 27 12.4 – 19.9 104.4 26 57.2 – 21.0 104.9 6 7 28 19.5 – 13.8 102.4 28 06.3 – 14.9 103.0 27 52.6 – 16.0 103.5 27 38.3 – 17.1 104.0 27 23.6 – 18.2 104.5 27 08.3 – 19.3 105.0 26 52.5 – 20.4 105.5 26 36.2 – 21.4 106.0 7 8 28 05.7 – 14.3 103.6 27 51.4 – 15.4 104.1 27 36.6 – 16.6 104.6 27 21.2 – 17.6 105.1 27 05.4 – 18.7 105.6 26 49.0 – 19.8 106.1 26 32.1 – 20.8 106.5 26 14.8 – 21.8 107.0 8 9 27 51.4 – 14.8 104.7 27 36.0 – 16.0 105.2 27 20.0 – 17.0 105.7 27 03.6 – 18.1 106.2 26 46.7 – 19.2 106.6 26 29.2 – 20.2 107.1 26 11.3 – 21.2 107.6 25 53.0 – 22.3 108.1 9 10 27 36.6 – 15.4 105.7 27 20.0 – 16.4 106.2 27 03.0 – 17.5 106.7 26 45.5 – 18.6 107.2 26 27.5 – 19.7 107.7 26 09.0 – 20.7 108.2 25 50.1 – 21.8 108.6 25 30.7 – 22.8 109.1 10 11 27 21.2 – 15.8 106.8 27 03.6 – 16.9 107.3 26 45.5 – 18.0 107.8 26 26.9 – 19.1 108.3 26 07.8 – 20.1 108.8 25 48.3 – 21.1 109.2 25 28.3 – 22.1 109.7 25 07.9 – 23.1 110.1 11 12 27 05.4 – 16.4 107.9 26 46.7 – 17.5 108.4 26 27.5 – 18.5 108.9 26 07.8 – 19.5 109.3 25 47.7 – 20.5 109.8 25 27.2 – 21.6 110.3 25 06.2 – 22.6 110.7 24 44.8 – 23.6 111.1 12 13 26 49.0 – 16.9 109.0 26 29.2 – 17.9 109.5 26 09.0 – 18.9 109.9 25 48.3 – 20.0 110.4 25 27.2 – 21.0 110.8 25 05.6 – 22.0 111.3 24 43.6 – 23.0 111.7 24 21.2 – 24.0 112.1 13 14 26 32.1 – 17.3 110.1 26 11.3 – 18.3 110.5 25 50.1 – 19.4 111.0 25 28.3 – 20.4 111.4 25 06.2 – 21.4 111.9 24 43.6 – 22.4 112.3 24 20.6 – 23.4 112.7 23 57.2 – 24.3 113.1 14 15 26 14.8 – 17.8 111.1 25 53.0 – 18.9 111.6 25 30.7 – 19.9 112.0 25 07.9 – 20.8 112.5 24 44.8 – 21.9 112.9 24 21.2 – 22.8 113.3 23 57.2 – 23.7 113.7 23 32.9 – 24.7 114.1 15 16 25 57.0 – 18.2 112.2 25 34.1 – 19.3 112.7 25 10.8 – 20.3 113.1 24 47.1 – 21.3 113.5 24 22.9 – 22.2 113.9 23 58.4 – 23.2 114.3 23 33.5 – 24.2 114.7 23 08.2 – 25.1 115.1 16 17 25 38.8 – 18.8 113.3 25 14.8 – 19.7 113.7 24 50.5 – 20.7 114.1 24 25.8 –

FOR MARINE NAVIGATIONpub. no. 229 vol. 1 sight reduction tables for marine navigation latitudes...

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Transcript of FOR MARINE NAVIGATIONpub. no. 229 vol. 1 sight reduction tables for marine navigation latitudes...