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
DOI10.1016/J.AMC.2015.07.008zbMath1410.70012OpenAlexW1155456966MaRDI QIDQ668664
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.008
polynomialsroots of polynomialsNewton-Raphson iterationclassical two-body problemfunctions of a real variableGauss orbit determination
Numerical computation of solutions to single equations (65H05) Two-body problems (70F05) Dynamical systems in classical and celestial mechanics (37N05)
Cites Work
- A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem
- Gauss meets Newton again: how to make Gauss orbit determination from two position vectors more efficient and robust with Newton-Raphson iterations
- Artificial satellites preliminary orbit determination by the modified high-order Gauss method
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