The motion of a particle in orbit around a growing mass

Astronomy and Astrophysics – Astronomy

Scientific paper

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Eccentricity, Elliptical Orbits, Planetary Systems, Two Body Problem, Deposition, Iterative Solution, Orbit Calculation, Orbital Mechanics, Solar System

Scientific paper

Use of an iterative solution of Kepler's equation shows how the semimajor axis and the eccentricity of the orbit of a particle moving around a massive body are affected when mass is added to the body incrementally, as by accretion. The net effect of numerous small discrete mass additions is to reduce the semimajor axis; the eccentricity, however, remains substantially unchanged.

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