Note 315 — APPENDIX.
Reading edition
The calculations here referred to were made by Lagrange nearly half a century previous to the appearance of this paper, and published in the “Mémoires de l’Académie de Berlin,” for 1782, p. 273. Lagrange’s results differ but slightly from those afterwards obtained by Leverrier, as will be seen from the following table; but as he had assigned erroneous values to the masses of the smaller planets, particularly that of Venus, the mass of which he estimated at one-half more than its true value, full confidence could not be placed in his results.
Superior limits of eccentricity as determined by Lagrange, Leverrier,and Mr. Stockwell:—
By Lagrange. By Leverrier. By Mr. Stockwell.
Mercury 0·22208 0·225646 0·2317185
Venus 0·08271 0·086716 0·0706329
Earth 0·07641 0·077747 0·0693888
Mars 0·14726 0·142243 0·139655
Jupiter 0·06036 0·061548 0·0608274
Saturn 0·08408 0·084919 0·0843289
Uranus — 0·064666 0·0779652
Neptune — — 0·0145066
[J. C.]