Study of Stability of Rotational Motion of Spacecraft with Canonical Variables
Joint Authors
Zanardi, Maria Cecília F. P. S.
Reis Silva, William
Cabette, Regina Elaine Santos
Formiga, Jorge Kennety Silva
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-09
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This work aims to analyze the stability of the rotational motion of artificial satellites in circular orbit with the influence of gravity gradient torque, using the Andoyer variables.
The used method in this paper to analyze stability is the Kovalev-Savchenko theorem.
This method requires the reduction of the Hamiltonian in its normal form up to fourth order by means of canonical transformations around equilibrium points.
The coefficients of the normal Hamiltonian are indispensable in the study of nonlinear stability of its equilibrium points according to the three established conditions in the theorem.
Some physical and orbital data of real satellites were used in the numerical simulations.
In comparison with previous work, the results show a greater number of equilibrium points and an optimization in the algorithm to determine the normal form and stability analysis.
The results of this paper can directly contribute in maintaining the attitude of artificial satellites.
American Psychological Association (APA)
Reis Silva, William& Zanardi, Maria Cecília F. P. S.& Cabette, Regina Elaine Santos& Formiga, Jorge Kennety Silva. 2012. Study of Stability of Rotational Motion of Spacecraft with Canonical Variables. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1029486
Modern Language Association (MLA)
Reis Silva, William…[et al.]. Study of Stability of Rotational Motion of Spacecraft with Canonical Variables. Mathematical Problems in Engineering No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1029486
American Medical Association (AMA)
Reis Silva, William& Zanardi, Maria Cecília F. P. S.& Cabette, Regina Elaine Santos& Formiga, Jorge Kennety Silva. Study of Stability of Rotational Motion of Spacecraft with Canonical Variables. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1029486
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029486