120 



MEMOIRS NATIONAL ACADEMY OF SCIENCES. 



[Vol. XIV. 



Table XXIXc— Continued. 

 3" 



Umt=l" 



COMPARISON OF TABLES. 



As a computer would discover in constructing tables, and as will be evident from an appli- 

 cation of the method to a planet, the coefficients in Table II and others of the same form are 

 given with unnecessary accuracy. Although so many digits would never be required, except 

 in a much more exhaustive development, they are given, for completeness, as they resulted 

 from computation. 



In all the tables whose constructions involve the multiplication of trigonometric series, the 

 errors are difficult or impossible to determine. Although v. Zeipel's manuscript, which the 

 author generously furnished for comparison, is of assistance, the computations are not entirely 

 parallel, and comparison is not always possible. Many of the computations are so long and 



