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Hamiltonian Formulation and Perturbations for Dust Motion Around Cometary Nuclei

2014/03/31 by Yu Jiang, J. Schmidt, Juergen Schmidt +3
Physics and Astronomy · #Astro and Planetary Science #Astrophysics #Astrophysics and Star Formation Studies #Classical mechanics #Comet #Drag #Gravitation #Gravitational field #Magnetic field #Mechanics #Nucleus #Physics #Quantum mechanics #Radiation pressure #Solar and Space Plasma Dynamics #astro-ph.EP

paper · pdf · doi:10.1007/s11038-017-9509-6

published as Earth, Moon, and Planets 2017 · 36 pages, 8 figures

arxiv created 2017/10/24 · arxiv updated 2017/10/25 · openalex publication_date 2017/10/27 · openalex created_date 2017/11/10 · openalex updated_date 2026/08/05

Abstract

In this paper we analyze the dynamical behavior of large dust grains in the vicinity of a cometary nucleus. To this end we consider the gravitational field of the irregularly shaped body, as well as its electric and magnetic fields. Without considering the effect of gas friction and solar radiation, we find that there exist grains which are static relative to the cometary nucleus; the positions of these grains are the stable equibria. There also exist grains in the stable periodic orbits close to the cometary nucleus. The grains in the stable equibria or the stable periodic orbits will not escape or impact on the surface of the cometary nucleus. The results are applicable for large charge dusts with small area-mass ratio which are near the cometary nucleus and far from the Solar. It is found that the resonant periodic orbit can be stable, and there exist stable non-resonant periodic orbits, stable resonant periodic orbits and unstable resonant periodic orbits in the potential field of cometary nuclei. The comet gravity force, solar gravity force, electric froce, magnetic force, solar radiation pressure, as well as the gas drag force are all considered to analyze the order of magnitude of these forces acting on the grains with different parameters. Let the distance of the dust grain relative to the mass centre of the cometary nucleus, the charge and the mass of the dust grain vary, respectively, fix other parameters, we clacluated the strengths of different forces.

Citations