Attitude stability of artificial satellites subject to gravity gradient torque

Details Attitude stability of artificial satellites subject to gravity gradient torque Attitude stability of artificial satellites subject to gravity gradient torque

Aug 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cemda.104..337d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 104, Issue 4, pp.337-353

Astronomy and Astrophysics

Astronomy

1

Rotational Motion Of Artificial Satellites, Non Linear Stability, Normalization

Scientific paper

The stability of the rotational motion of artificial satellites is analyzed considering perturbations due to the gravity gradient torque, using a canonical formulation, and Andoyer’s variables to describe the rotational motion. The stability criteria employed requires the reduction of the Hamiltonian to a normal form around the stable equilibrium points. These points are determined through a numerical study of the Hamilton’s equations of motion and linear study of their stability. Subsequently a canonical linear transformation is used to diagonalize the matrix associated to the linear part of the system resulting in a normalized quadratic Hamiltonian. A semi-analytic process of normalization based on Lie-Hori algorithm is applied to obtain the Hamiltonian normalized up to the fourth order. Lyapunov stability of the equilibrium point is performed using Kovalev and Savchenko’s theorem. This semi-analytical approach was applied considering some data sets of hypothetical satellites, and only a few cases of stable motion were observed. This work can directly be useful for the satellite maintenance under the attitude stability requirements scenario.

Affiliated with

Also associated with

No associations

Rating

Attitude stability of artificial satellites subject to gravity gradient torque does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Attitude stability of artificial satellites subject to gravity gradient torque, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Attitude stability of artificial satellites subject to gravity gradient torque will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-820584