Sharma-Parthasarathy随机二体问题
The Sharma-Parthasarathy stochastic two-body problem
摘要：
本文研究了由N。Sharma和H. \cite{sharma}中的关节炎。特别是，我们专注于保存的经典两体问题的一些基本特征，如随机情况下的哈密顿结构和第一积分。数值模拟表明，密切元素的半长轴，偏心和近心的动力学行为。我们还推导出一个随机版本的高斯方程在平面的情况下。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
