On Resonance Values of Parameters in the Problem of Stability of Lagrange Solutions in a Restricted Three-Body Problem Close to a CircleстатьяИсследовательская статья
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Дата последнего поиска статьи во внешних источниках: 10 апреля 2024 г.
Аннотация:The restricted problem of three bodies (material points) moving under the action of gravitational attraction according to Newton’s law is considered. The orbits of the main attracting bodies are considered to be ellipses with a small eccentricity, while a passively gravitating body can perform arbitrary spatial motion near the triangular libration point. For the Hamiltonian function corresponding to such a motion, the structure of the normal form is found in the case of third-order resonances. In the planar restricted three-body problem, the equations are derived up to the second degree of eccentricity for resonance curves for all resonances up to the sixth order inclusive.