Poynting-Robertson effect. II - Perturbation equations

Computer Science

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Celestial Mechanics, Comets, Perturbation Theory, Poynting-Robertson Effect, Double Cusps, Kepler Laws, Orbital Elements, Radiation Pressure

Scientific paper

The paper addresses the problem of the complete set of perturbation equations of celestial mechanics as applied to the Poynting-Robertson effect. Differential equations and initial conditions for them are justified. The sudden beginning of the operation of the Poynting-Robertson effect (e.g., sudden release of dust particles from a comet) is taken into account. Two sets of differential equations and initial conditions for them are obtained. Both of them are completely equivalent to Newton's equation of motion. It is stressed that the transformation mu yields mu(1-beta) must be made in perturbation equations of celestial mechanics.

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