232 



A Companion to the Moon Table. 



[No. 135. 



The following tables shew the position of the marks on the outer 

 and inner circles (in half days,) for the Epoch, 1st January, 1800. 



h. m. 



+ 









I 1 



6 



11 



16 



21 j 26 



0.00 



oo.oo 



27.50 



27.50 155.00 



January, 



0.10 



0.85 



1.61 



2.36 



3.11 



3.87 



10 



0.34 



27.14 



27.86 | 54.66 





February, 



4.77 



5.52 



6.27 



7.03 



7.78 



8.54 



20 



0.69 



26.78 



28.22 



54.31 





March, ... 



8.99 



9.84 



10.50 



11.25 



12.00 



12.76 



30 



1.03 



26.42 



28.58 



53.97 





April 



13.66 



14.41 



15.17 



15.92 



16.67 



17.43 



40 



1.38 



26.06 



28.94 



53.62 





May, 



18.18 



18.93 



19.69 



20.44 



21.20 



21.95 



50 



1.73 



25.70 



29.30 



53.27 





June 



22.85 



25.61 



24.36 



25.11 



25.87 



26.62 



1.00 



2.08 



25.33 



29.67 



52.92 





July 



27.37 



28.13 



28.88 



29.63 



30.39 



31.14 



10 



2.43 



24.96 



30.04 



52.57 





August, ... 



32.05 



32.80 



33.55 



34.30 



35.06 



35.81 



20 



2.79 



24.59 



30.41 



52.22 





September 



36.72 



37.47 



38.22 



88.98 



39.73 



40.48 



30 



3.16 



24.21 



30.79 



51.84 





October, ... 



41.24 



41.99 



46.74 



43.50 



44.25 



45.00 



40 



3.53 



23.82 



31.18 



51.47 





November 45.91 



46.66 



47.41 



48.17 



48.92 49.67 



50 



3.91 



23.43 



31.57 



51.09 





December 50.43 



51.18 



51.93 



51.61 



53.44 54.19 



2.00 



4.29 



23.03 



31.97 



50.71 







10 



4.69 



22.62 



32.38 



50.31 







20 



5.10 



22.19 



32.81 



49.90 







30 



5.52 



21.76 



33.24 



49.48 







40 



5.96 



21.30 



33.70 



49.04 







50 



6.42 



20.83 



34.17 



48.58 







3.00 



6.90 



20.33 



34.67 



48.10 







10 



7.42 



19.80 



35.20 



47.58 







so 



7.98 



19.23 



35.77 



47.02 







30 



8.51 



18.61 



36.39 



46.49 







40 



9.26 



17.92 



37.08 



45.74 







50 



10.00 



17.11 



37.89 



45.00 







4.00 



11.05 



15.07 



38.93 



43.95 







10 



13.56 



13.56 



41.44 



41.44 



















The next correction, and the only other here requiring to be taken 

 into account, is that depending on the moon's anomaly; and whether 

 the mean or true anomaly be used matters little ; that is to say, whether 

 we use the mean time given by the moon table, or first apply the 

 above correction ; the latter mode, however, is the more proper to be 

 followed. 



The period of an anomalistic revolution is 27d. 13h. 18m. 35s., 

 which (for reasons similar to those for the lunation) is here reckoned 

 as 27| anomaly days, each being 171.455s. of mean time longer than 

 a solar day, which latter is 171.115s. of anomaly time short of an 

 anomaly day. 



In 13 revolutions of the anomaly, there are 358d. 5h. 01m. 35s. 

 being short of a Julian year of 365£ days by 7d. Oh. 58m. 25s. which 

 may be called the Julian anomaly Epact. This being reduced at 

 the rate of 171.1 15s. daily, becomes 7d. Oh. 38m. 20.25s. = 7d. 026623= 

 14.053246 half days. The common and leap year Epacts may there- 

 fore be taken as 13.55325 and 15.55325 half days respectively, and 

 their places on the outer card will be as in the annexed table. The 



