An improved algorithm to develop semi-analytical planetary theories using Sundman generalized variables
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Publication:457761
DOI10.1016/j.cam.2014.06.011zbMath1297.70006OpenAlexW2028599076MaRDI QIDQ457761
Miguel Barreda-Rochera, Vicente Agost-Gómez, José Antonio López Ortí
Publication date: 29 September 2014
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.2014.06.011
algorithmsperturbation theoryplanetary theoriescelestial mechanicsorbital mechanicscomputational algebra
Two-body problems (70F05) Celestial mechanics (70F15) Orbital mechanics (70M20) (n)-body problems (70F10)
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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 ⋮ Editorial: Recent trends on computational and mathematical methods in science and engineering (CMMSE) ⋮ 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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- Planetary theories with the aid of the expansions of elliptic functions
- A new symbolic processor for the Earth rotation theory
- Introduction to celestial mechanics
- A note on the use of the generalized Sundman transformations as temporal variables in celestial mechanics
- Note on Lagrange's inversion formula
- [https://portal.mardi4nfdi.de/wiki/Publication:4069826 Un formulaire pour le calcul des perturbations d'ordres �lev�s dans les probl�mes plan�taires]
- The intermediate anomaly
- Computational tools to construct semi-analytical planetary theories
- A new echeloned Poisson series processor (EPSP)
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