132432 20260217205458.0 doi 10.1007/s10509-024-04286-7 sideral 137636 ART-2024-137636 eng Elipe, Antonio Universidad de Zaragoza (orcid)0000-0001-5208-4494 Wrong hypotheses in the generalized RTBP 2024 Access copy available to the general public Unrestricted Generalized restricted three body problems consist of adding some extra hypotheses to the Restricted three body problem (RTBP) in order to have a new problem, not very different of the original RTBP. However, not any additional hypothesis is allowed; it must satisfy the laws of Physics. Among the several generalizations found in literature, we prove that at least there are two hypotheses that cannot be used, namely: 1) Perturbation in Coriolis and/or centrifugal forces, and 2) primaries are spheroids moving on elliptical orbits. info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/grantAgreement/ES/MICINN/PID2020-117066GB-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 1.5 2024 ASTRONOMY & ASTROPHYSICS 52 / 84 = 0.619 2024 Q3 T2 0.378 2024 Space and Planetary Science 2024 Q3 Astronomy and Astrophysics 2024 Q3 2.6 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 369, 22 (2024), 2-7 Astrophys. space sci. ASTROPHYSICS AND SPACE SCIENCE 0004-640X 1193150 http://zaguan.unizar.es/record/132432/files/texto_completo.pdf Versión publicada 2430493 http://zaguan.unizar.es/record/132432/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:132432 articulos driver 2026-02-17-20:21:06 ARTICLE