000130096 001__ 130096
000130096 005__ 20240124152523.0
000130096 0247_ $$2doi$$a10.3847/1538-3881/ad10a1
000130096 0248_ $$2sideral$$a136495
000130096 037__ $$aART-2024-136495
000130096 041__ $$aeng
000130096 100__ $$0(orcid)0000-0001-5208-4494$$aElipe, Antonio$$uUniversidad de Zaragoza
000130096 245__ $$aClose binary stars modeled by two prolate ellipsoids in synchronous rotation
000130096 260__ $$c2024
000130096 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130096 5203_ $$aThe 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.
000130096 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-117066GB-I00$$9info:eu-repo/grantAgreement/ES/DGA/E24-23R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2021-117066GB-I00
000130096 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000130096 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000130096 700__ $$ada Costa, M. Lívia
000130096 700__ $$0(orcid)0000-0003-1622-6998$$aPiccotti, Luca
000130096 700__ $$0(orcid)0000-0003-4859-7224$$aTresaco, Eva$$uUniversidad de Zaragoza
000130096 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130096 773__ $$g167, 1 (2024), 25 [7 pp.]$$pAstron. j. (N.Y.N.Y.)$$tThe Astronomical journal (New York, N.Y.)$$x0004-6256
000130096 8564_ $$s526587$$uhttps://zaguan.unizar.es/record/130096/files/texto_completo.pdf$$yVersión publicada
000130096 8564_ $$s3338598$$uhttps://zaguan.unizar.es/record/130096/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000130096 909CO $$ooai:zaguan.unizar.es:130096$$particulos$$pdriver
000130096 951__ $$a2024-01-24-15:20:59
000130096 980__ $$aARTICLE