A proper choice of variables for the study of a satellite's close approaches in a ring assembly of N massive bodies

Physics

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Scientific paper

Close approaches occur very often in celestial mechanics, giving rise to troubles in the integration process of the equations of motion. To encounter the so-appearing difficulties in the restricted ring problem of N+1 bodies, we propose new dependent and independent variables which allow the less-massive body to come very close to the central primary as well as to any peripheral primary.

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