The three-body Hill problem: a new derivation of the equations of motion

Statistics – Applications

Scientific paper

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Chaos, Celestial Mechanics, Planetary Systems

Scientific paper

Although the Hill's problem has been considered traditionally as a particular case of the restricted problem, it is not but rather a different problem with the same degree of generality. In this paper it is presented a new derivation of the motion equations obtained originally by Hill in 1878 as well as a brief discussion about its possible applications.

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