A note on the use of the generalized Sundman transformations as temporal variables in celestial mechanics

Abstract

The main aim of this paper is to build up a set of semi-analytical integrators based on the use of a class of anomalies defined by means of a generalized Sundman transformation. The integrators are based on the developments of the mean anomaly and the vector radius according to the new anomaly. To manipulate these developments, a Poisson series processor called poison.h has been used. This processor has been written as a C++class and it contains a set of methods to manage the most common arithmetic and functional operations with these objects.