CONTINUATION OF TABLES I. AND III. OF DAMOISEAU'S TABLES OF 

 JUPITER'S SATELLITES FOR THE PERIOD 18901900. 



[Appendix to the previous Paper*.] 



ON revising the above tables for 1880 1890, and continuing them for 

 the period 1890 1900, it was found that some additional corrections should 

 be applied to the terms which involve sin (5u 2u a 34'542) in Damoiseau's 

 formulae for Table III., and hence that the statement in the Introduction 

 to the Tables 1880 1890 (see p. 118) as to the sufficient accuracy of these 

 terms as they stand should be somewhat modified. 



It appears that Damoiseau's values of these terms are sensibly erroneous 

 both in the Argument and in the Coefficients, and in these tables for 

 1890 1900, revised expressions have been used for the inequalities in 

 Table III. for Satellites II., III. and IV. depending on the terms referred 

 to. In the case of Satellite I., this inequality is insensible. The approxi- 

 mate values of the adopted expressions appear to be 



For Satellite II + 0'84 sin (5u-2u - 16'6), 



Satellite III + 2'3 sin (5il-2u - 16'6), 



Satellite IV + 12'6 sin (5u-2u t - 16'6), 



where u is the mean longitude of Jupiter and u that of Saturn. 



The above expressions give corrections to times of Conjunctions in seconds 

 of time. The corresponding corrections to the longitudes of the Satellites 

 in seconds of arc would have for their coefficients for 



Satellite II 3'5 



Satellite III 4'8 



Satellite IV -11-3 



These agree closely with the expressions given by Souillart in his " The"orie 

 des Satellites de Jupiter." 



* [For this Appendix and the Tables, which were communicated to the Nautical Almanac 

 Office in Jan. 1890, I am indebted to the kindness of Dr Downing, Superintendent of the 

 Nautical Almanac. ED.] 



