Delaunay normalisations

DOI10.1007/BF01233178zbMath0499.70019OpenAlexW4246980133MaRDI QIDQ5905314

André Deprit

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01233178

zbMATH Keywords

(1-1) resonance at triangular equilibrium in restricted problem of three bodiesBrouwer's method of implicit variablesDelaunay normalisations

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (7)

Exact Delaunay normalization of the perturbed Keplerian Hamiltonian with tesseral harmonics ⋮ Solution to the main problem of the artificial satellite by reverse normalization ⋮ Poisson and symplectic reductions of 4–DOF isotropic oscillators. The van der Waals system as benchmark ⋮ ATESAT: A symbolic processor for artificial satellite theory ⋮ Exploring the long-term dynamics of perturbed Keplerian motion in high degree potential fields ⋮ Global dynamics of dust grains in magnetic planets ⋮ Bifurcation of frozen orbits in a gravity field with zonal harmonics

Cites Work

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• Orbital behavior of earth satellites. I, II: Orbits about an oblate spheroid
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• The effect of the earth’s oblateness on the orbit of a near satellite
• Analytical theory of earth's artificial satellites (A.T.E.A.S.)
• A note on the application of the von Zeipel method to degenerate Hamiltonians
• Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
• The main problem of artificial satellite theory for small and moderate eccentricities
• Introduction to Lie Algebras and Representation Theory
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems

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