Gyldén systems: Rotation of pericenters

DOI10.1007/BF00650085zbMath0681.70015MaRDI QIDQ1823749

Carol A. Williams, Bruce R. Miller, André Deprit

Publication date: 1989

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

canonical transformationphase spaceAdiabatic invariantsKeplerian system with a time-dependent Gaussian parametermixed secular- periodic termsnormalized Hamiltoniannormalizing Lie transformationperturbed Keplerian system with a constant Gaussian parameterrescaling of time

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Classical field theories (70Sxx)

Uses Software

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Cites Work

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• The secular acceleratons in Gylden's problem
• Newtonian cosmology with a varying gravitational constant
• On Newtonian cosmology with a varying gravitational constant
• Second order adiabatic invariants associated with the two-body problem with slowly varying mass
• Canonical transformations depending on a small parameter
• Mechanized Algebraic Operations (MAO)
• Delaunay normalisations

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