Radiation pressure and dust particle dynamics

Computer Science

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Interplanetary Dust, Orbital Mechanics, Particle Motion, Planetary Orbits, Radiation Pressure, Solar Radiation, Eccentric Orbits, Hamiltonian Functions, Planetary Atmospheres

Scientific paper

The complete solution of a set of differential equations, derived in a reference frame linked to the solar motion, is given for the case of particles lying in the planet's orbital plane to show that the orbital eccentricity may undergo considerable variation, while the pericenter longitude librates or circulates according to initial conditions. This result establishes a criterion for the collision of a particle with its planet's atmosphere. A numerical integration is used to study the case of an inclined orbit, yielding results related to the stability of the orbital plane. All solutions are periodic, and the dependence of the period on initial conditions permits the investigation of the different time scales involved in the problem posed by the inclined orbit. Inclusion of both the Poynting-Robertson drag and radial radiation pressure forces is found to result in a coupling effect between the two components which yields a systematic behavior in the eccentricity and pericenter distance.

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