Matches in SemOpenAlex for { <https://semopenalex.org/work/W4286897908> ?p ?o ?g. }
Showing items 1 to 54 of
54
with 100 items per page.
- W4286897908 abstract "We study the dynamics of two homogeneous rigid ellipsoids subject to their mutual gravitational influence. We assume that the spin axis of each ellipsoid coincides with its shortest physical axis and is perpendicular to the orbital plane. Due to such assumptions, the problem is planar and depends on particular parameters of the ellipsoids, most notably, the equatorial oblateness and the flattening with respect to the shortest physical axes. We consider two models for such configuration: while in the full model, there is a coupling between the orbital and rotational motions, in the Keplerian model, the centers of mass of the bodies are constrained to move on coplanar Keplerian ellipses. The Keplerian case, in the approximation that includes the coupling between the spins of the two ellipsoids, is what we call spin-spin problem, that is a generalization of the classical spin-orbit problem. In this paper we continue the investigations of [Mis21] on the spin-spin problem by comparing it with the spin-orbit problem and also with the full model. Beside detailing the models associated to the spin-orbit and spin-spin problems, we introduce the notions of standard and balanced resonances, which lead us to investigate the existence of periodic and quasi-periodic solutions. We also give a qualitative description of the phase space and provide results on the linear stability of solutions for the spin-orbit and spin-spin problems. We conclude by providing a comparison between the full and the Keplerian models with particular reference to the interaction between the rotational and orbital motions." @default.
- W4286897908 created "2022-07-25" @default.
- W4286897908 creator A5065588303 @default.
- W4286897908 creator A5073073406 @default.
- W4286897908 creator A5089916909 @default.
- W4286897908 date "2021-10-21" @default.
- W4286897908 modified "2023-09-24" @default.
- W4286897908 title "The spin-spin problem in Celestial Mechanics" @default.
- W4286897908 hasPublicationYear "2021" @default.
- W4286897908 type Work @default.
- W4286897908 citedByCount "0" @default.
- W4286897908 crossrefType "posted-content" @default.
- W4286897908 hasAuthorship W4286897908A5065588303 @default.
- W4286897908 hasAuthorship W4286897908A5073073406 @default.
- W4286897908 hasAuthorship W4286897908A5089916909 @default.
- W4286897908 hasBestOaLocation W42868979081 @default.
- W4286897908 hasConcept C121332964 @default.
- W4286897908 hasConcept C124017977 @default.
- W4286897908 hasConcept C1276947 @default.
- W4286897908 hasConcept C173990265 @default.
- W4286897908 hasConcept C26873012 @default.
- W4286897908 hasConcept C2778870898 @default.
- W4286897908 hasConcept C33332235 @default.
- W4286897908 hasConcept C42704618 @default.
- W4286897908 hasConcept C57489055 @default.
- W4286897908 hasConcept C74650414 @default.
- W4286897908 hasConcept C97355855 @default.
- W4286897908 hasConceptScore W4286897908C121332964 @default.
- W4286897908 hasConceptScore W4286897908C124017977 @default.
- W4286897908 hasConceptScore W4286897908C1276947 @default.
- W4286897908 hasConceptScore W4286897908C173990265 @default.
- W4286897908 hasConceptScore W4286897908C26873012 @default.
- W4286897908 hasConceptScore W4286897908C2778870898 @default.
- W4286897908 hasConceptScore W4286897908C33332235 @default.
- W4286897908 hasConceptScore W4286897908C42704618 @default.
- W4286897908 hasConceptScore W4286897908C57489055 @default.
- W4286897908 hasConceptScore W4286897908C74650414 @default.
- W4286897908 hasConceptScore W4286897908C97355855 @default.
- W4286897908 hasLocation W42868979081 @default.
- W4286897908 hasOpenAccess W4286897908 @default.
- W4286897908 hasPrimaryLocation W42868979081 @default.
- W4286897908 hasRelatedWork W14416384 @default.
- W4286897908 hasRelatedWork W16318388 @default.
- W4286897908 hasRelatedWork W17222159 @default.
- W4286897908 hasRelatedWork W27849139 @default.
- W4286897908 hasRelatedWork W28328694 @default.
- W4286897908 hasRelatedWork W30363990 @default.
- W4286897908 hasRelatedWork W34204796 @default.
- W4286897908 hasRelatedWork W35416134 @default.
- W4286897908 hasRelatedWork W40170570 @default.
- W4286897908 hasRelatedWork W5372 @default.
- W4286897908 isParatext "false" @default.
- W4286897908 isRetracted "false" @default.
- W4286897908 workType "article" @default.