Back to Search
Start Over
Artificial satellites preliminary orbit determination by the modified high-order Gauss method
- Source :
- RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia, instname
- Publication Year :
- 2012
- Publisher :
- Taylor & Francis Ltd, 2012.
-
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.<br />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.
- 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
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia, instname
- Accession number :
- edsair.doi.dedup.....29fedf1f7a0ea69f432aa2557b55558f