Comparison between Two Methods to Calculate the Transition Matrix of Orbit Motion
Carregando...
Arquivos
Data
2012-01-01
Autores
Marins Chiaradia, Ana Paula [UNESP]
Kuga, Helio Koiti
Bertachini de Almeida Prado, Antonio Fernando
Título da Revista
ISSN da Revista
Título de Volume
Editor
Hindawi Publishing Corporation
Resumo
Two methods to evaluate the state transition matrix are implemented and analyzed to verify the computational cost and the accuracy of both methods. This evaluation represents one of the highest computational costs on the artificial satellite orbit determination task. The first method is an approximation of the Keplerian motion, providing an analytical solution which is then calculated numerically by solving Kepler's equation. The second one is a local numerical approximation that includes the effect of J(2). The analysis is performed comparing these two methods with a reference generated by a numerical integrator. For small intervals of time (1 to 10s) and when one needs more accuracy, it is recommended to use the second method, since the CPU time does not excessively overload the computer during the orbit determination procedure. For larger intervals of time and when one expects more stability on the calculation, it is recommended to use the first method.
Descrição
Palavras-chave
Como citar
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 12, 2012.