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3 results on '"Gauss method"'

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

Author

Arroyo, V., Cordero, A., Torregrosa, J.R., and Vassileva, M.P.

Subjects
*ARTIFICIAL satellites, *GAUSSIAN processes, *STOCHASTIC convergence, *NEWTON-Raphson method, *NONLINEAR systems, *NUMERICAL analysis
Abstract

In recent years, high-order methods have shown to be very useful in many practical applications, in which nonlinear systems arise. In this case, a classical method of positional astronomy have been modified in order to hold a nonlinear system in its establishments (that in the classical method is reduced to a single equation). At this point, high-order methods have been introduced in order to estimate the solutions of this system and, then, determine the orbit of the celestial body. We also have implemented a user friendly application, which will allow us to make a numerical and graphical comparison of the different methods with reference orbits, or user defined orbits. [ABSTRACT FROM PUBLISHER]

Published
2012
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2. Artificial satellites preliminary orbit determination by the modified high-order Gauss method

Author

Juan R. Torregrosa, María P. Vassileva, Víctor Arroyo, and Alicia Cordero

Subjects
Efficiency index, 010103 numerical & computational mathematics, 01 natural sciences, Gauss method, Orbit determination, symbols.namesake, Control theory, Spherical astronomy, 0103 physical sciences, Nonlinear systems, Point (geometry), Gauss–Seidel method, 0101 mathematics, 010303 astronomy & astrophysics, Newton's method, Mathematics, Applied Mathematics, Computer Science Applications, Nonlinear system, Computational Theory and Mathematics, Rate of convergence, Order of convergence, Orbit (dynamics), symbols, MATEMATICA APLICADA, Algorithm
Abstract

In recent years, high-order methods have shown to be very useful in many practical applications, in which nonlinear systems arise. In this case, a classical method of positional astronomy have been modified in order to hold a nonlinear system in its establishments (that in the classical method is reduced to a single equation). At this point, high-order methods have been introduced in order to estimate the solutions of this system and, then, determine the orbit of the celestial body. We also have implemented a user friendly application, which will allow us to make a numerical and graphical comparison of the different methods with reference orbits, or user defined orbits., The authors would like to thank the referees for their valuable comments and suggestions that have improved the content of the paper. This research was supported by Ministerio de Ciencia y Tecnologia MTM2010-18539.

Published
2012

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

Author

Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada, Ministerio de Ciencia e Innovación, Arroyo Martínez, Víctor, Cordero Barbero, Alicia, Torregrosa Sánchez, Juan Ramón, Penkova Vassileva, María, Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada, Ministerio de Ciencia e Innovación, Arroyo Martínez, Víctor, Cordero Barbero, Alicia, Torregrosa Sánchez, Juan Ramón, and Penkova Vassileva, María

Abstract

In recent years, high-order methods have shown to be very useful in many practical applications, in which nonlinear systems arise. In this case, a classical method of positional astronomy have been modified in order to hold a nonlinear system in its establishments (that in the classical method is reduced to a single equation). At this point, high-order methods have been introduced in order to estimate the solutions of this system and, then, determine the orbit of the celestial body. We also have implemented a user friendly application, which will allow us to make a numerical and graphical comparison of the different methods with reference orbits, or user defined orbits.

Published
2012

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