中国物理B ›› 2008, Vol. 17 ›› Issue (1): 343-349.doi: 10.1088/1674-1056/17/1/060
• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇 下一篇
徐明, 徐世杰
Xu Ming(徐明)† and Xu Shi-Jie(徐世杰)
摘要: This paper deals with the coverage analysis problem of elliptical orbits. An algorithm based on ergodic theory, for long-term coverage of elliptical orbits, is proposed. The differential form of the invariant measure is constructed via the perturbation on mean orbital elements resulted from the $J_{2}$ term of non-spherical shape of the earth. A rigorous proof for this is then given. Different from the case of circular orbits, here the flow and its space of the dynamical system are defined on a physical space, and the real-value function is defined as the characteristic function on station mask. Therefore, the long-term coverage is reduced to a double integral via Birkhoff--Khinchin theorem. The numerical implementation indicates that the ergodic algorithm developed is available for a wide range of eccentricities.
中图分类号: (Orbit determination and improvement)