Linearization in special cases of perturbed Keplerian motions

DOI10.1007/BF01232286zbMath0619.70008OpenAlexW1628905722MaRDI QIDQ3757410

José Manuel Ferrándiz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01232286

zbMATH Keywords

linearizationartificial satellitesregularizing functionsintegrals of the motionLinearizing transformationsnot-central force fieldsradial intermediary orbit

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items

Integrable approximation of \(J_2\)-perturbed relative orbits ⋮ Generalized elliptic anomalies ⋮ Length of arc as independent argument for highly eccentric orbits ⋮ A new radial, natural, higher-order intermediary of the main problem four decades after the elimination of the parallax

Cites Work

• Transformations of the perturbed two-body problem to unperturbed harmonic oscillators
• Regularization and linearization of the equations of motion in central force-fields
• A method of regularizing the equations of motion in the central force-field
• The elimination of the parallax in satellite theory
• Linearization of dynamical systems using integrals of the motion
• Unnamed Item