https://doi.org/10.1140/epjs/s11734-023-01026-w
Regular Article
The potential series expansion method: application to the asteroid (87) Sylvia
1
Federal Institute of São Paulo, IFSP, Hortolândia, SP, Brazil
2
National Institute for Space Research, São José dos Campos, SP, Brazil
3
Academy of Engineering, RUDN University, Miklukho-Maklaya street 6, 117198, Moscow, Russia
Received:
27
April
2023
Accepted:
9
November
2023
Published online:
8
December
2023
This study aims to investigate the location and stability of equilibrium points in the potential field of the the asteroid (87) Sylvia. The potential series expansion method is used, which involves decomposing the asteroid into homogeneous tetrahedral elements with a constant rotation speed. The results are compared with those obtained using the classical polyhedral method, and we found good agreement outside the body, even in close to its surface. Our model can be applied to any polyhedral-shaped body as it expresses the potential analytically, which makes it easier to manipulate algebraically for determining acceleration and velocity components. Moreover, it significantly reduces computational costs in terms of CPU time requirements, keeping the accuracy at a very acceptable level.
S. Aljbaae and A. F. B. A. Prado have contributed equally to this 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.
