2005/05/27 by A. E. Flynn, Angela E. Flynn, P. Saha +1
Engineering · Physics and Astronomy · #Aerospace Engineering and Control Systems #Celestial mechanics #First order #Orbital elements #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Planar #Poincaré–Lindstedt method #Quantum chaos and dynamical systems #Spacecraft Dynamics and Control #astro-ph
paper · pdf · doi:10.1086/430410
published as Astron.J.130:295-307,2005 · To appear in AJ
arxiv created 2005/05/27 · openalex publication_date 2005/06/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We implement Lie transform perturbation theory to second order for the planar spin-orbit problem. The perturbation parameter is the asphericity of the body, with the orbital eccentricity entering as an additional parameter. We study first- and second-order resonances for different values of these parameters. For nearly spherical bodies such as Mercury and the Moon, first-order perturbation theory is adequate, whereas for highly aspherical bodies such as Hyperion, the spin is mostly chaotic, and perturbation theory is of limited use. However, in between we identify a parameter range in which second-order perturbation theory is useful and in which as-yet unidentified objects may be in second-order resonances.