The Sharma-Parthasarathy stochastic two-body problem
Mathematical Physics
2015-06-26 v2 Earth and Planetary Astrophysics
math.MP
Abstract
We study the Sharma-Parthasarathy stochastic two-body problem introduced by N. Sharma and H. Parthasarathy in \cite{sharma}. In particular, we focus on the preservation of some fundamental features of the classical two-body problem like the Hamiltonian structure and first integrals in the stochastic case. Numerical simulations are performed which illustrate the dynamical behaviour of the osculating elements as the semi-major axis, the eccentricity and the pericenter. We also derive a stochastic version of Gauss's equations in the planar case.
Keywords
Cite
@article{arxiv.1402.1752,
title = {The Sharma-Parthasarathy stochastic two-body problem},
author = {Jacky Cresson and Frédéric Pierret and Bénédicte Puig},
journal= {arXiv preprint arXiv:1402.1752},
year = {2015}
}