{"title":"Spin-orbit coupling of the primary body in a binary asteroid system","authors":"Hanlun Lei","doi":"arxiv-2407.21274","DOIUrl":null,"url":null,"abstract":"Spin-orbit coupling is widespread in binary asteroid systems and it has been\nwidely studied for the case of ellipsoidal secondary. Due to angular momentum\nexchange, dynamical coupling is stronger when the orbital and rotational\nangular momenta are closer in magnitudes. Thus, the spin-orbit coupling effects\nare significantly different for ellipsoidal secondaries and primaries. In the\npresent work, a high-order Hamiltonian model in terms of eccentricity is\nformulated to study the effects of spin-orbit coupling for the case of\nellipsoidal primary body in a binary asteroid system. Our results show that the\nspin-orbit coupling problem for the ellipsoidal primary holds two kinds of spin\nequilibrium, while there is only one for the ellipsoidal secondary. In\nparticular, 1:1 and 2:3 spin-orbit resonances are further studied by taking\nboth the classical pendulum approximation as well as adiabatic approximation\n(Wisdom's perturbative treatment). It shows that there is a critical value of\ntotal angular momentum, around which the pendulum approximation fails to work.\nDynamical structures are totally different when the total angular momentum is\non two sides of the critical value.","PeriodicalId":501209,"journal":{"name":"arXiv - PHYS - Earth and Planetary Astrophysics","volume":"200 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Earth and Planetary Astrophysics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.21274","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Spin-orbit coupling is widespread in binary asteroid systems and it has been
widely studied for the case of ellipsoidal secondary. Due to angular momentum
exchange, dynamical coupling is stronger when the orbital and rotational
angular momenta are closer in magnitudes. Thus, the spin-orbit coupling effects
are significantly different for ellipsoidal secondaries and primaries. In the
present work, a high-order Hamiltonian model in terms of eccentricity is
formulated to study the effects of spin-orbit coupling for the case of
ellipsoidal primary body in a binary asteroid system. Our results show that the
spin-orbit coupling problem for the ellipsoidal primary holds two kinds of spin
equilibrium, while there is only one for the ellipsoidal secondary. In
particular, 1:1 and 2:3 spin-orbit resonances are further studied by taking
both the classical pendulum approximation as well as adiabatic approximation
(Wisdom's perturbative treatment). It shows that there is a critical value of
total angular momentum, around which the pendulum approximation fails to work.
Dynamical structures are totally different when the total angular momentum is
on two sides of the critical value.