IJPAM: Volume 58, No. 4 (2010)
ANALYTICAL SOLUTION TO A HIGHLY NONLINEAR
EARTH-SATELLITE PITCH ATTITUDE
LIBRATION EQUATION
EARTH-SATELLITE PITCH ATTITUDE
LIBRATION EQUATION
Emmanuel Osei-Frimpong
, Anthony Y. Aidoo
, Anthony K. Amos
Department of Mathematics
Kwame Nkrumah University of Science and Technology
Kumasi, GHANA
e-mail: eofrimp@yahoo.com
Department of Mathematics and Computer Science
Eastern Connecticut State University
83, Windham Str., Willimantic, CT 06226, USA
e-mail: aidooa@easternct.edu
Pennsylvania State University
University Park, PA, USA
, Anthony Y. Aidoo, Anthony K. Amos
Department of Mathematics
Kwame Nkrumah University of Science and Technology
Kumasi, GHANA
e-mail: eofrimp@yahoo.com
Department of Mathematics and Computer Science
Eastern Connecticut State University
83, Windham Str., Willimantic, CT 06226, USA
e-mail: aidooa@easternct.edu
Pennsylvania State University
University Park, PA, USA
Abstract.We derive the dynamical equations that characterizes the pitch librations of an earth-satellite.
To obtain analytical solution of the resulting highly nonlinear equation,
we adopt a scheme that successively augments the nonlinearity level of the equation by
adding nonlinear terms. We compare our results with available numerical solution.
Received: January 5, 2010
AMS Subject Classification: 70F05, 85-02
Key Words and Phrases: analytical solution, nonlinear, earth-satellite, libration, dynamics
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 58
Issue: 4