The Spin–Orbit Resonances of the Solar System: A Mathematical Treatment Matching Physical Data

2013/12/29 by Francesco Antognini, Luigi Chierchia, Luca Biasco
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Aerospace engineering #Astro and Planetary Science #Bifurcation #Classical mechanics #Dissipative system #Geomagnetism and Paleomagnetism Studies #Heteroclinic orbit #Homoclinic orbit #Matching (statistics) #Mathematics #Orbit (dynamics) #Physics #Quantum mechanics #Resonance (particle physics) #Scientific Research and Discoveries #Spin (aerodynamics) #astro-ph.IM #math.DS

paper · pdf · doi:10.1007/s00332-014-9196-7

arxiv created 2013/12/29 · openalex publication_date 2014/02/24 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the mathematical framework of a restricted, slightly dissipative spin-orbit model, we prove the existence of periodic orbits for astronomical parameter values corresponding to all satellites of the Solar system observed in exact spin-orbit resonance.

Citations

• Saturn's Small Inner Satellites: Clues to Their Origins
• The Small Inner Satellites of Jupiter
• STRONG TIDAL DISSIPATION IN SATURN AND CONSTRAINTS ON ENCELADUS' THERMAL STATE FROM ASTROMETRY
• Radii, shapes, and topography of the satellites of Uranus from limb coordinates
• Mercury's capture into the 3/2 spin-orbit resonance as a result of its chaotic dynamics
• Spin-orbit coupling in the solar system