Length of arc as independent argument for highly eccentric orbits

DOI10.1007/BF00051814zbMath0759.70008MaRDI QIDQ1199716

Eugene Brumberg

Publication date: 16 January 1993

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

elliptic functionsperturbed motionanalytic step regulation

Mathematics Subject Classification ID

Two-body problems (70F05)

Related Items (9)

Numerical computation of incomplete elliptic integrals of a general form ⋮ Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem ⋮ On the expansions of intermediate orbit for general planetary theory ⋮ Geometrical definition of a continuous family of time transformations on the hyperbolic two-body problem ⋮ CMMSE: Study of a new symmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motion ⋮ A study about the integration of the elliptical orbital motion based on a special one-parametric family of anomalies ⋮ A note on the use of generalized Sundman anomalies in the numerical integration of the elliptical orbital motion ⋮ Special perturbation theory methods in celestial mechanics. I: Principles for the construction and substantiation of the application ⋮ A new bi-parametric family of temporal transformations to improve the integration algorithms in the study of the orbital motion

Cites Work

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• Linearization in special cases of perturbed Keplerian motions
• Generalized elliptic anomalies
• Time elements in Keplerian orbital elements
• Accurate computation of highly eccentric satellite orbits

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