000132432 001__ 132432 000132432 005__ 20240311111224.0 000132432 0247_ $$2doi$$a10.1007/s10509-024-04286-7 000132432 0248_ $$2sideral$$a137636 000132432 037__ $$aART-2024-137636 000132432 041__ $$aeng 000132432 100__ $$0(orcid)0000-0001-5208-4494$$aElipe, Antonio$$uUniversidad de Zaragoza 000132432 245__ $$aWrong hypotheses in the generalized RTBP 000132432 260__ $$c2024 000132432 5060_ $$aAccess copy available to the general public$$fUnrestricted 000132432 5203_ $$aGeneralized 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. 000132432 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-23R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-117066GB-I00 000132432 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000132432 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000132432 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000132432 773__ $$g369, 22 (2024), 2-7$$pAstrophys. space sci.$$tASTROPHYSICS AND SPACE SCIENCE$$x0004-640X 000132432 8564_ $$s1193150$$uhttps://zaguan.unizar.es/record/132432/files/texto_completo.pdf$$yVersión publicada 000132432 8564_ $$s2430493$$uhttps://zaguan.unizar.es/record/132432/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000132432 909CO $$ooai:zaguan.unizar.es:132432$$particulos$$pdriver 000132432 951__ $$a2024-03-11-09:51:05 000132432 980__ $$aARTICLE