Preliminary Study on the Translunar Halo Orbits of the Real Earth–Moon System |
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Authors: | Miquel A. Andreu |
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Affiliation: | (1) Dept. Matemàtica Aplicada i Anàlisi, Univ. Barcelona, Gran Via 585, E-08007 Barcelona, Spain, e-mail |
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Abstract: | The computation of translunar Halo orbits of the real Earth–Moon system (REMS) has been an open problem for a long time, but now, it is possible to compute Halo orbits of the REMS in a systematic way. In this paper, we describe the method used for the numerical computation of Halo orbits for a time span longer than 41 years. Halo orbits of the REMS are computed from quasi-periodic Halo orbits of the quasi-bicircular problem (QBCP). The QBCP is a model for the dynamics of a spacecraft in the Earth–Moon–Sun system. It is a Hamiltonian system with three degrees of freedom and depending periodically on time. In this model, Earth, Moon and Sun are moving in a self-consistent motion close to bicircular. The computed Halo orbits of the REMS are compared with the family of Halo orbits of the QBCP. The results show that the QBCP is a good model to understand the main features of the Halo family of the REMS. |
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Keywords: | Halo orbits Earth– Moon system quasi-bicircular problem invariant tori |
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