On the radial intermediaries and the time transformation in satellite theory

DOI10.1007/BF01230431zbMath0645.70017MaRDI QIDQ3789136

Maria L. Sein-Echaluce, R. Cid, Sebastián Ferrer

Publication date: 1986

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

zbMATH Keywords

regularizationHamiltoniancanonical transformationlinearization methodsradial intermediariesregularizing transformationpolar nodal canonical set of variableszonal Earth satellite theory

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Orbital mechanics (70M20) Statics (70C20) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (5)

The critical inclination in artificial satellite theory ⋮ Generalized elliptic anomalies ⋮ Note on Cid's radial intermediary and the method of averaging ⋮ A new radial, natural, higher-order intermediary of the main problem four decades after the elimination of the parallax ⋮ Canonical elements and Keplerian-like solutions for intermediary orbits of satellites of an oblate planet

Cites Work

• Elimination of the perigee in the satellite problem
• Transformations of the perturbed two-body problem to unperturbed harmonic oscillators
• Regularization and linearization of the equations of motion in central force-fields
• The elimination of the parallax in satellite theory
• Third-Order Solution to the Main Problem in Satellite Theory
• Canonical transformations depending on a small parameter
• Unnamed Item
• Unnamed Item

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