Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem

DOI10.1016/J.CAM.2016.02.041zbMath1371.70032OpenAlexW2297246647MaRDI QIDQ313658

Francisco José Marco Castillo, María José Martínez Usó, José Antonio López Ortí

Publication date: 12 September 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.041

zbMATH Keywords

ordinary differential equationsorbital motioncelestial mechanicscomputational algebra

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) Orbital mechanics (70M20) (n)-body problems (70F10)

Related Items (3)

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 ⋮ Editorial: Mathematical modeling and computational methods

Cites Work

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• Generalized elliptic anomalies
• Accurate computation of highly eccentric satellite orbits
• The intermediate anomaly
• Time transformations and Cowell's method
• Computational tools to construct semi-analytical planetary theories

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