IJPAM: Volume 58, No. 4 (2010)

ANALYTICAL SOLUTION TO A HIGHLY NONLINEAR
EARTH-SATELLITE PITCH ATTITUDE
LIBRATION EQUATION

Emmanuel Osei-Frimpong$^1$, Anthony Y. Aidoo$^2$, Anthony K. Amos$^3$
$^1$Department of Mathematics
Kwame Nkrumah University of Science and Technology
Kumasi, GHANA
e-mail: [email protected]
$^2$Department of Mathematics and Computer Science
Eastern Connecticut State University
83, Windham Str., Willimantic, CT 06226, USA
e-mail: [email protected]
$^3$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