Energy Changes in Close Planetary Encounters

Abstract
The cross-section is derived analytically for the process in which the heliocentric energy per unit mass of a small body is changed, during a close encounter with a planet, from E to a value less than E. Several consequences of this result are discussed for the capture and ejection of matter from the solar system and for the 2-stage accretion of interplanetary matter by the Earth and the Moon.

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