Research in physical astronomy

Abstract

In this Paper a method is given of developing the disturbing function, in which the coefficients of the inequalities corresponding to any given order, are expressed in terms of the coefficients of the inferior orders; so that, for example, the coefficients of the terms in the disturbing function, multiplied by the squares of the eccentricities, are given analytically by means of the coefficients of those independent of the eccentricities, and of those multiplied by their first powers. As the theorems, to which this method gives rise, are of great simplicity, the author considers them as deserving attention. The Society than adjourned over the Long Vacation, to the 15th of November.