Time scaling as an infinitesimal canonical transformation

DOI10.1007/BF01232957zbMath0664.70025MaRDI QIDQ3815593

Luis A. Ibort, José F. Cariñena, Ernesto A. Lacomba

Publication date: 1987

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

zbMATH Keywords

Hamiltonian systemsextended phase spacehomogeneous potentialsinfinitesimal canonical transformationsclassical mechanical systemsregularization and blow upScheifele theory of satellite motiontime scaling transformations

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (5)

REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY ⋮ Sundman transformation and alternative tangent structures ⋮ Infinitesimal time reparametrisation and its applications ⋮ Hamiltonization of higher-order nonlinear ordinary differential equations and the Jacobi last multiplier ⋮ Lie symmetries, Lagrangians and Hamiltonian framework of a class of nonlinear nonautonomous equations

Cites Work

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• Origin and infinity manifolds for mechanical systems with homogeneous potentials
• Triple collision in the collinear three-body problem
• Time-dependent mechanical symmetries and extended Hamiltonian systems
• Generalized canonical transformations for time-dependent systems
• Canonical transformations theory for presymplectic systems
• Canonical orbital elements in terms of an arbitrary independent variable

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