Elimination of the perigee in the satellite problem

DOI10.1007/BF01231123zbMath0542.70033OpenAlexW1987899252MaRDI QIDQ3330602

Kyle T. Alfriend, Shannon L. Coffey

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01231123

zbMATH Keywords

canonical transformationanalytic satellite theoryDelaunay normalization of short period termsDeprit's elimination of parallaxperigee terms eliminatedshort period terms

Mathematics Subject Classification ID

Orbital mechanics (70M20)

Related Items (14)

A note about certain arbitrariness in the solution of the homological equation in Deprit's method ⋮ Solution to the main problem of the artificial satellite by reverse normalization ⋮ ATESAT: A symbolic processor for artificial satellite theory ⋮ Exploring the long-term dynamics of perturbed Keplerian motion in high degree potential fields ⋮ On the radial intermediaries and the time transformation in satellite theory ⋮ Delaunay variables approach to the elimination of the perigee in artificial satellite theory ⋮ Note on Cid's radial intermediary and the method of averaging ⋮ Is symbolic integration better than numerical integration in satellite dynamics? ⋮ A new radial, natural, higher-order intermediary of the main problem four decades after the elimination of the parallax ⋮ Analytic orbit theory with any arbitrary spherical harmonic as the dominant perturbation ⋮ Asymptotic ordination of artificial satellite Hamiltonian ⋮ Decomposition of functions for elliptic orbits ⋮ Brouwer's satellite solution redux ⋮ Canonical elements and Keplerian-like solutions for intermediary orbits of satellites of an oblate planet

Cites Work

• Analytical theory of earth's artificial satellites (A.T.E.A.S.)
• 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
• The main problem of artificial satellite theory for small and moderate eccentricities

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