Comparison between Two Methods to Calculate the Transition Matrix of Orbit Motion
Joint Authors
Chiaradia, Ana Paula Marins
Kuga, Helio Koiti
de Almeida Prado, Antonio Fernando Bertachini
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 J2.
The analysis is performed comparing these two methods with a reference generated by a numerical integrator.
For small intervals of time (1 to 10 s) 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.
American Psychological Association (APA)
Chiaradia, Ana Paula Marins& Kuga, Helio Koiti& de Almeida Prado, Antonio Fernando Bertachini. 2011. Comparison between Two Methods to Calculate the Transition Matrix of Orbit Motion. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001906
Modern Language Association (MLA)
Chiaradia, Ana Paula Marins…[et al.]. Comparison between Two Methods to Calculate the Transition Matrix of Orbit Motion. Mathematical Problems in Engineering No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1001906
American Medical Association (AMA)
Chiaradia, Ana Paula Marins& Kuga, Helio Koiti& de Almeida Prado, Antonio Fernando Bertachini. Comparison between Two Methods to Calculate the Transition Matrix of Orbit Motion. Mathematical Problems in Engineering. 2011. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001906