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Stationary Motions of a Close to Regular Isosceles Tetrahedron with a Fixed Point in the Central Newtonian Force Field

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Abstract

The existence, stability, and branching of stationary motions of a tetrahedral body around a fixed point in the central Newtonian force field are studied. The case of an isosceles tetrahedron close to regular is considered. The connection of these properties of stationary motions with the properties of stationary motions of a regular tetrahedron is investigated. In celestial mechanics, the gravitational field of an irregularly shaped celestial body is often modeled by the gravitational field of some set of massive points. Representations in the form of a set of two or three point masses contain symmetries that are not inherent in real bodies. Approximations of gravitational fields with the help of fields of attraction of exactly four massive points seem to be the most suitable.

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  1. Federal Research Center “Computer Science and Control” of the RAS, 119333, Moscow, Russia

    E. A. Nikonova

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Nikonova, E.A. Stationary Motions of a Close to Regular Isosceles Tetrahedron with a Fixed Point in the Central Newtonian Force Field. Mech. Solids 57, 1059–1067 (2022). https://doi.org/10.3103/S0025654422050211

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