Commets on Hill's approximation in the problem of planetary encounters

Statistics – Computation

Scientific paper

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Approximation, Asteroids, Astrodynamics, Celestial Mechanics, Computational Astrophysics, Encounters, Orbital Mechanics, Angles (Geometry), Earth (Planet), Mathematical Models, Planetary Orbits, Two Body Problem

Scientific paper

In this note, we present some theoretical results related to the problem of the orbital evolution of Earth-approaching binary asteroids as a result of encounters with the Earth, that allows us to throw some light on the problem of the validity of the impulse approximation. Our theoretical results confirm those found numerically by Farinella & Chauvineau (1993).

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