http://arxiv.org/abs/1402.1752
We study the impact of a stochastic perturbation on the classical two-body problem in particular concerning the preservation of first integrals and the Hamiltonian structure. Numerical simulations are performed which illustrate the dynamical behavior 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.
C. Jacky, P. Frederic and P. Benedicte
Mon, 10 Feb 14
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