The Sharma-Parthasarathy stochastic two-body problem
We study the Sharma-Parthasarathy stochastic two-body problem introduced by Sharma and Parthasarathy in [“Dynamics of a stochastically perturbed two-body problem,” Proc. R. Soc. A 463, 979-1003 (2007)]. In particular, we focus on the preservation of some fundamental features of the classical two-bod...
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| Veröffentlicht in: | Journal of mathematical physics 2015-03, Vol.56 (3), p.1 |
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| creator | Cresson, J. Pierret, F. Puig, B. |
| description | We study the Sharma-Parthasarathy stochastic two-body problem introduced by Sharma and Parthasarathy in [“Dynamics of a stochastically perturbed two-body problem,” Proc. R. Soc. A 463, 979-1003 (2007)]. 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. |
| doi_str_mv | 10.1063/1.4906908 |
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R. Soc. A 463, 979-1003 (2007)]. 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. 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R. Soc. A 463, 979-1003 (2007)]. 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. 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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Chaos theory CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Computer simulation COMPUTERIZED SIMULATION Debates Dynamical systems EQUATIONS HAMILTONIANS INTEGRALS Mathematical problems Mathematics Numerical analysis Physics Quantum physics Stochastic models STOCHASTIC PROCESSES TWO-BODY PROBLEM |
| title | The Sharma-Parthasarathy stochastic two-body problem |
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