130096 20260217205451.0 doi 10.3847/1538-3881/ad10a1 sideral 136495 ART-2024-136495 eng Elipe, Antonio Universidad de Zaragoza (orcid)0000-0001-5208-4494 Close binary stars modeled by two prolate ellipsoids in synchronous rotation 2024 Access copy available to the general public Unrestricted The presence of tidal deformations in close binary stars has already been confirmed by astronomical observations. The present paper aims to simply address an astronomy problem, studying the relative movement of close binaries disturbed by their mutual deformation through some basic concepts and tools of celestial mechanics. For this purpose, the tidal effect is modeled by considering that each star is an elongated revolution ellipsoid in such a way that axes of revolution are coincident, and their largest axes point toward each other along the motion. The potential for mutual attraction is then obtained, resulting in a perturbed Keplerian system with perturbation proportional to the inverse of the cubic distance between the stars, thus being a one-degree-of-freedom problem and, therefore, integrable. The effective potential, the integrals of energy and angular momentum, and the Laplace vector are used to obtain qualitative information about the dynamics before integrating it. The motion describes a rosette-like orbit with periodic osculating elements, or a circle when the energy is a local minimum. Finally, an analytical solution is presented in terms of elliptic functions by using a regularizing and linearizing function. info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/grantAgreement/ES/MICINN/PID2020-117066GB-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2021-117066GB-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 5.1 2024 ASTRONOMY & ASTROPHYSICS 19 / 84 = 0.226 2024 Q1 T1 2.229 2024 Space and Planetary Science 2024 Q1 Astronomy and Astrophysics 2024 Q1 8.9 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion da Costa, M. Lívia Piccotti, Luca (orcid)0000-0003-1622-6998 Tresaco, Eva Universidad de Zaragoza (orcid)0000-0003-4859-7224 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 167, 1 (2024), 25 [7 pp.] Astron. j. (N.Y.N.Y.) The Astronomical journal (New York, N.Y.) 0004-6256 526587 http://zaguan.unizar.es/record/130096/files/texto_completo.pdf Versión publicada 3338598 http://zaguan.unizar.es/record/130096/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130096 articulos driver 2026-02-17-20:19:09 ARTICLE