Method for special perturbations

Abstract

A method for computing special perturbations has been devised. At the present time we have only considered the case with three co-planar bodies. Only one differential equation is to be solved. The radius vector r is the dependent variable. The time has been taken as independent variable. The true anomaly ν is the remaining quantity to be disturbed. The corresponding set of equations algebraic ones. The whole process is an iterative one. Special attention is to be paid for determining the most favorable cases for the applications.