A note on the use of the generalized Sundman transformations as temporal variables in celestial mechanics

DOI10.1080/00207160.2011.611502zbMath1238.70004OpenAlexW1984830959MaRDI QIDQ2887048

Miguel Barreda-Rochera, Vicente Agost-Gómez, José Antonio López Ortí

Publication date: 15 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.611502

zbMATH Keywords

algorithmsperturbation theoryplanetary theoriescelestial mechanicsorbital mechanicscomputational algebra

Mathematics Subject Classification ID

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

Related Items (5)

Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem ⋮ CMMSE: Study of a new symmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motion ⋮ An improved algorithm to develop semi-analytical planetary theories using Sundman generalized variables ⋮ 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

Cites Work

• A formulation to obtain semi-analytical planetary theories using true anomalies as temporal variables
• Generalized elliptic anomalies
• Note on Lagrange's inversion formula
• The intermediate anomaly

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