PHILOSOPHICAL TRANSACTIONS. 



625 



VOL. LXXX.] 



The angle at the planet is found in the manner before mentioned. The fol- 

 lowing table contains the. heliocentric longitudes and latitudes to the moments of 

 mean time in the foregoing table. The heliocentric place of the node is ascer- 

 tained with a tolerable degree of accuracy ; hence the arc of the ecliptic from the 

 node to the circle of latitude, passing through the planet, is given = d; the in- 

 clination of the orbit to the ecliptic = y is to be calculated by this formula, cot. 



sing, d X sin. lat. 



The heliocentric latitudes observed 1781 July 30, 1783 Sept. 26, 1785 July 

 29, 1786 July 1, 1788 May 6, are very near the greatest latitude ; the mean of 

 the inclinations found on these days is 3° 23' 40".2, and very near the mean of 

 all the observations 3° 23' 37'''.7. The inclination, or the greatest heliocentric 

 latitude, may also be found by interpolation of the maximum among the observed 

 heliocentric latitudes. This maximum is found 1781 = 3° !Z3' 3Q^, 1783 = 3° 

 23' 41^'', 1786 = 3° 23' 36'^; the mean of these 3 maximums 3° 23' 38''.6, which 

 inclination may be depended on to 1 or 2^. The inclination of the orbit of 



VOL. XVI. 4 L 



