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

Author:

Danchick RoyORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference6 articles.

1. Gauss meets Newton again: how to make Gauss orbit determination from two position vectors more efficient and robust with Newton–Raphson iterations;Danchick;Appl. Math. Comput.,2008

2. Artificial satellite preliminary orbit determination by the modified high order Gauss method;Arroyo;Int. J. Comput. Math.,2012

3. A class of optimal eighth-order derivative-free methods for solving the Danchick–Gauss problem;Andreu;Appl. Math. Comput.,2014

4. Methods of Orbit Determination;Escobal,1976

5. Virginia Tech Dept. of Aerospace and Ocean Engineering, www.aoe.vt.edu/∼cdhall/courses/aoe4134/molnyafg.pdf.

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