Three-dimensional regions of stability about the triangular equilibrium points

DOI10.1007/BF01375508zbMath0528.70013MaRDI QIDQ3309117

Arthur L. Whipple

Publication date: 1983

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

zbMATH Keywords

collinear pointstriangular pointsrestricted problemunstable solutionsJacobian integrallinearization about the five Lagrangian equilibrium positionssize of domain in phase space for which solutions librateupper bound for initial conditions

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15)

Cites Work

• The stability of the triangular Lagrangian points for commensurability of order two
• Stability of and motion aboutL 4 at three-to-one commensurability
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