https://doi.org/10.1140/epjs/s11734-023-01020-2
Regular Article
Periodic orbits in the restricted three-body problem for observations of the smaller primary
1
Department of Mathematics, São Paulo State University - FEG/UNESP, Av. Dr. Ariberto Pereira da Cunha 333, 12516-410, Guaratinguetá, SP, Brazil
2
Graduate Division, National Institute for Space Research - INPE, Av. dos Astronautas 1758, 12227-010, São José dos Campos, SP, Brazil
3
Academy of Engineering, RUDN University, Miklukho-Maklaya Street 6, 117198, Moscow, Russia
Received:
14
April
2023
Accepted:
9
November
2023
Published online:
7
December
2023
This work proposes a numerical investigation for periodic orbits in the restricted three-body problem to observe the smaller primary of the system. Periodic orbits are very important for observation missions, because they do not need station-keeping maneuvers and allow predicted passages by the main bodies. So, they allow a better observation of the body under study. For this verification, the grid search method will be used [(Barrio and Blesa, Chaos Solit Fractals, 41, 560–582 (2009)]. For each set of conditions, the differential equations of the motion of the spacecraft will be numerically integrated using TIDES [Abad et al., ACM Trans Math Softw (TOMS) 39, 1–28 (2012)]. In case of occurrence of periodic orbits, the characteristics of these orbits will be analyzed and the families found will be identified and classified. In particular, it is important to avoid effects from the close approach with the secondary body (swing-by), because this effect may destroy the periodicity of the orbit. This can be done using angle of approaches of 0
or 180 for the close approach, because they allow passages very close to the smaller body but with zero variations in energy and angular momentum. This aspect of the Swing-By maneuver is very important in the present research.
Alessandra F. S. Ferreira and Antonio F. B. A. Prado contributed equally to the work.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
