Notions of analytic vs numerical stability as applied to the numerical calculation of orbits

DOI10.1007/BF01229118zbMath0314.70021OpenAlexW2044940342MaRDI QIDQ4074428

C. E. Velez

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf01229118

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Orbital mechanics (70M20)

Related Items (9)

Control and simulation of a constrained dynamic two-link system ⋮ Generalized elliptic anomalies ⋮ Orbit computations with the Eulerian topological regular elements with oblateness ⋮ A new time element for a general time transformation ⋮ Remarks on the numerical integration of near-parabolic orbits ⋮ The intermediate anomaly ⋮ Time transformations and Cowell's method ⋮ \(F\) and \(G\) Taylor series solutions to the Stark and Kepler problems with Sundman transformations ⋮ Time elements in Keplerian orbital elements

Cites Work

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• Numerical solution of ordinary differential equations
• Convergence and stability in the numerical integration of ordinary differential equations
• On the Time-Step to be Used for the Computation of Orbits by Numerical Integration
• Stabilization of finite difference methods of numerical integration
• Numerical stabilization of the differential equations of Keplerian motion

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