Note on Lagrange's inversion formula

DOI10.1007/BF01230401zbMath0454.30002OpenAlexW2020352742MaRDI QIDQ3901737

André Deprit

Publication date: 1979

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230401

zbMATH Keywords

algorithmpower seriesLagrange's implicit equation

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10)

Related Items (9)

A note on the use of the generalized Sundman transformations as temporal variables in celestial mechanics ⋮ Analytical linear perturbation theory for highly eccentric satellite orbits ⋮ Planetary theories with the aid of the expansions of elliptic functions ⋮ 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 new bi-parametric family of temporal transformations to improve the integration algorithms in the study of the orbital motion ⋮ Branching solutions and Lie series ⋮ The elimination of the parallax in satellite theory

Cites Work

• On a perturbation theory using Lie transforms
• Perturbation method in the theory of nonlinear oscillations
• Generalization of Lagrange's implicit function theorem to N-dimensions

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