Analytical Solution of the Perturbed Oribt-Attitude Motion of a Charged Spacecraft in the Geomagnetic Field

  • M. H
  • K. M
  • Owis A
  • et al.
Citations of this article
Mendeley users who have this article in their library.


In this work we investigate the orbit-attitude perturbations<br />of a rigid spacecraft due to the effects of several forces<br />and torques. The spacecraft is assumed to be of a cylindrical<br />shape and equipped with a charged screen with charge density<br />s. Clearly the main force affecting the motion of the spacecraft<br />is the gravitational force of the Earth with uniform spherical<br />mass. The effect of oblate Earth up to J2 is considered as<br />perturbation on both the orbit and attitude of the spacecraft,<br />where the attitude of the spacecraft is acted upon by what is<br />called gravity gradient torque. Another source of perturbation<br />on the attitude of the spacecraft comes from the motion of<br />the charged spacecraft in the geomagnetic field. This motion<br />generates a force known as the Lorentz force which is the source<br />of the Lorentz force torque influencing the rotational motion of<br />the spacecraft. In this work we give an analytical treatment of<br />the orbital-rotational dynamics of the spacecraft. We first use<br />the definitions of Delaunay and Andoyer variables in order to<br />formulate the Hamiltonian of the orbit-attitude motion under the<br />effects of forces and torques of interest. Since the Lorentz force<br />is a non-conservative force, a potential like function is introduced<br />and added to the Hamiltonian. We solve the canonical equations<br />of the Hamiltonian system by successive transformations using a<br />technique proposed by Lie and modified by Deprit and Kamel<br />to solve the problem. In this technique we make two successive<br />transformations to eliminate the short and long periodic terms<br />from the Hamiltonian.




M., H., K., M., Owis, A., & Dwidar, H. (2013). Analytical Solution of the Perturbed Oribt-Attitude Motion of a Charged Spacecraft in the Geomagnetic Field. International Journal of Advanced Computer Science and Applications, 4(3).

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free