An ergodic algorithm for long-term coverage of elliptical orbits

作者：Ming, Xu^*; Shi-Jie, Xu

来源：Chinese Physics B, 2008, 17(1): 343-349.

DOI：10.1088/1674-1056/17/1/060

• ergodic algorithm
• coverage analysis
• elliptical orbit

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.

• 出版日期2008-1
• 单位北京航空航天大学