Geometrical definition of a continuous family of time transformations on the hyperbolic two-body problem

DOI10.1016/J.CAM.2017.04.048zbMath1373.70007OpenAlexW2610564025MaRDI QIDQ1676044

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

Publication date: 3 November 2017

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

Full work available at URL: http://hdl.handle.net/10251/109197

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 (1)

CMMSE: Study of a new symmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motion

Cites Work

• Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem
• Length of arc as independent argument for highly eccentric orbits
• A study about the integration of the elliptical orbital motion based on a special one-parametric family of anomalies
• Expansions of elliptic motion based on elliptic function theory
• Generalized elliptic anomalies
• Accurate computation of highly eccentric satellite orbits
• The intermediate anomaly
• Time transformations and Cowell's method

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