JUPITER. 



'emitted ; the mean motions for feconds are alfo omitted for 

 the fame reafon. In our computations, therefore, we take 

 to the ncarcft minute. 



Under thefe, write down the great inequality (Table VI.) 

 in the firfl cohimn, with the correfponding arguments. 



Add together the lunnbers in the feveral columns, rejeft- 

 ing 12 S, or any multiple thereof, if they occur ; and in 

 the arguments, rejefting 10,000 for Arguments II, III, IV, 

 V, and 1000 for Arguments VI, VII, VIII, IX, or any 

 multiples thereof, and you get, for the given time, the 

 mean longitude correfted for the great equation, the aphe- 

 lion, the node, ar.d the arguments corrected for the great 

 ■equation. 



From the longitude correcled for the great equation, as 

 already found, fubtraft the longitude of the aphelion, and 

 you have Arg I. Arg VII. — Arg. VIII. gives Arg. X. ; 

 Arg. VI. + Arg. VIII. gives Arg. XI. 



With Argument I. making proportion for the minutes 

 and feconds, take out the equation of Jupiter's orbit in 

 Table VII., together with the fecular variation, with their 

 proper lign?, except the time be before 17JO, in which cafe, 

 the fecular variation is to be taken out with a contrary fign ; 

 then fay, 100 : the years from 1750 to the given time : : 

 the fecular variation above found : the fecular vtriation re- 

 quired. With Argument II. take out the equation in 

 Table VIII, making proportion in this, and in the follow- 

 ing equations, for the intcr^nediate numbers of the argu- 

 ments. With Argument III. take out the equation in Table 



IX. With Argument IV. take out the equation in Table 



X. With Argument V. take out the equation in Table XI. 



With Argument VI. take out the equation in Table XII. 

 With Argument VII. take out the equation in Table XIII. 

 With Argument VIII. take out the equation in Table XIV. 

 Witli Argument. IX. take out the equation in Table XV. 

 With Argument X. take out the equation in Table XVI. 

 With Argument XI. take out the equation in Table XVII. 

 Take the fum of all thcfe equations (regard being had to 

 the figns of the firfl equation and the fecular variation, the 

 figns of the others being all pofitive), and from it fubtraft 

 1 1' 56".^, and you have the value of thefe eleven equations ; 

 and this applied, with its proper fign, to the longitude al- 

 ready found as correfted bv the great equation, gives the 

 longitude of Jupiter in his orbit. 



From the longitude thus found, fubtraft the longitude of 

 the node, and you get Argument XII. 



With Argument XII. enter Table XXIII. and take out 

 the rcduftion to the ecliptic with its proper fign, making 

 proportion for the minutes and feconds of the argument ; 

 and this applied to the longitude of Jupiter in his orbit, 

 gives his true heliocentric longitude on the ecliptic, reckoned 

 from the mean equinox. 



With the Argument XII. enter Table XXII.; take out 

 the latitude with its fecular variation, making proportion 

 for the minutes and feconds of the argument ; and apply 

 the fecular variation, according to its fign, to the latitude, 

 and you have tlie true heliocentric latitude of Jupiter. 



With the mean anomaly of Jupiter, enter Table XVIII, 

 and take out the radius vector, and correct it by the follow- 

 ing Tables, and you have the true diftance of Jupiter from 

 the fun ; the earth's diftance being unity. 



E sample. 



