Artificial satellites preliminary orbit determination by the modified high-order Gauss method

DOI10.1080/00207160.2011.560266zbMath1241.85006OpenAlexW1978156334MaRDI QIDQ5891575

Maria P. Vassileva, Alicia Cordero, Víctor Arroyo, Juan Ramón Torregrosa Sánchez

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/10.1080/00207160.2011.560266

zbMATH Keywords

Newton's methodnonlinear systemsorder of convergenceGauss methodorbit determinationefficiency index

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Computational methods for problems pertaining to astronomy and astrophysics (85-08)

Related Items (1)

Simplified existence and uniqueness conditions for the zeros and the concavity of the \(F\) and \(G\) functions of improved Gauss orbit determination from two position vectors

Cites Work

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• Multiple solutions in preliminary orbit determination from three observations
• Orbit determination with the two-body integrals
• Gauss meets Newton again: how to make Gauss orbit determination from two position vectors more efficient and robust with Newton-Raphson iterations
• A modified Newton-Jarratt's composition

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