The invariance of the restricted problem of three bodies

DOI10.1007/BF01230742zbMath0572.70012MaRDI QIDQ3690279

D. J. Jezewski

Publication date: 1985

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

Jacobi integralrestricted problem of three bodiesextended groupsLie theoretical methodssidereal coordinatessingle scalar generator

Mathematics Subject Classification ID

Three-body problems (70F07)

Cites Work

• Similarity methods for differential equations
• Generalizations of Noether’s Theorem in Classical Mechanics
• Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem
• Stability of a spinning body containing elastic parts via Liapunov'sdirect method
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
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