SMITHSONIAN CONTRIBUTIONS TO KNOWLEDGE. 



Ef T A B L 



FOR DETERMINING THE 



YALUES OF THE COEFFICIENTS. 



PERTURBATTYE FUNCTION OF PLANETARY MOTION, 



WHICH DEPEND UPON THE 



RATIO OF THE MEAN DISTANCES. 



BY 



JOHN D. RUNKLE, 



ASSISTANT IN THE OFFICE OF THE AMERICAN EPHEMERIS AND NAUTICAL ALMANAC. 



ACCEPTED FOR PUBLICATION 



BY THE SMITHSONIAN INSTITUTION, 



NOVEMBER, 1855. 



