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Translational-Rotational Motions of a Rod in the Circular Sitnikov Problem

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We study translational-rotational motions of a homogeneous rod of small mass governed by the circular restricted three-body problem for attracting bodies of equal mass. We show that the equations of… Click to show full abstract

We study translational-rotational motions of a homogeneous rod of small mass governed by the circular restricted three-body problem for attracting bodies of equal mass. We show that the equations of spatial motions of the rod admit an integral manifold that corresponds to such motions of the rod at which the center of mass of the rod moves along the normal to the plane of rotation of the main bodies and the rod continuously rotates around the normal at the angle equal to π/2.

Keywords: rod circular; problem; translational rotational; motions rod; circular sitnikov; rotational motions

Journal Title: Journal of Mathematical Sciences
Year Published: 2021

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