Integration Algorithms to Construct Semi-analytical Planetary Theories
نویسندگان
چکیده
Abstract: The aim of this paper is to describe the construction of a set of algorithms that allow several types of anomalies to be used as integration variables in the Lagrange planetary equations. The method, based on the relation between the mean anomaly and the other anomalies taken as temporal variables, involves a set of algorithms that can be used to expand the inverse of the distance according to the anomalies that are used, the construction of an iterative algorithm of integration for each set of variables, and a Poisson processor to manage Fourier or Poisson series.
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A Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE Systems
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