Some integrable extensions of Jacobi's problem of geodesics on an ellipsoid

DOI10.1016/0021-8928(95)00001-6zbMath0883.70006OpenAlexW2012131536MaRDI QIDQ1359914

Valery V. Kozlov

Publication date: 29 March 1998

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00001-6

zbMATH Keywords

separation of variablespotential energyredundant coordinatesadditional integralconservative field of forceelliptic Jacobi coordinatesindependent commuting integralsintegrable billiardspace of constant non-zero curvature

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99)

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Cites Work

• Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
• A constructive method of establishing the validity of the theory of systems with non-retaining constraints
• Integrable billiards
• Kepler's problem in constant curvature spaces
• Elliptical billiard table with Newtonian potential
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