326 'The Orbit and Motion of 



TABLE II. contains the Elliptic Equation of the Planet. The 

 argument is the Mean Anomaly, or the Mean Longitude of the 

 Planet the Longitude of the Aphelion. 



TABLE III. contains the Logarithm of the Planet's diftance 

 from the Sun, the Earth's mean diftance being i. The argu- 

 ment is the Mean Anomaly of the Planet. 



TABLE IV. contains the Heliocentric Latitude of the Planet, 

 the Reduction to the Ech'ptic, and the Reduction of the Loga- 

 rithm of the diftance from the Sun. The argument is the Or- 

 bital Longitude of the Planet the Longitude of the Node. 



TABLE V. contains the Geocentric Aberration of the Planet, 

 for reducing its true to the apparent place. The argument is 

 the Elongation of the Planet from the Sun. 



EXAMPLE. 



REQUIRED the heliocentric place of the Planet for 1787, 

 January 13^. 04 . 56' oo" M. T. Greenwich. 



s . ' " s. ' " s. ' " 



1787. M. Lon. Plan-3. 28.00. 12,5 Lon. Aphel. n. 23. ri. 28 Lon. Nod. 2. 12.49. 35 

 b.oo. oo. oo 3.28.09.35 3. 23. 32. 35 



AT Mot 9' 1 3> 2 



7,1 M. An. 4.04.58.07 Arg.Lat. i. 30.43.00 



1,7 Hel. Lat. N. 30. 15 



Log. dift. 1.2694179 



3.28.09.34,5 Red. Log. 168 



Eq. Orbit, 4. 36. 59,3 



Log. curt. dift. 1.2694011 



3- 2 3-3 2 -35> 2 

 Free Red. 7, 4 



Flan, for M. Eq*. 3. 23. 32. 27,8 



IT will be remarked, that the deviations from obfervations 

 made near the vernal ftations are in defect, while thofe near the 

 autumnal ftations are in excefs. Hence it may be prefumed, that 

 the mean diftance and periodic time are fomewhat too fmall, 

 and the aphelion too far advanced on the ecliptic. I did not 

 remark this till after I had computed the tables ; and it is a te- 

 dious taflc to make the computation a-new. I have publiflied 

 them, not in the perfualion that they are perfect, but becaufe 

 none have as yet been publifhed in Britain, and I have feen on- 

 ly thofe of DE LA PLACE and ORIANI, both of which are lefs 

 confiftent with obfervations than mine. 



