Satellite attitude dynamics and estimation with the implicit midpoint method

Details Satellite attitude dynamics and estimation with the implicit midpoint method Satellite attitude dynamics and estimation with the implicit midpoint method

Publishing date

Jul 2009

URL

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009newa...14..467h&link_type=abstract

Journals

New Astronomy, Volume 14, Issue 5, p. 467-477.

Science

Astronomy and Astrophysics

Field

Astronomy

Additional info 2

1

Additional info 3

95.40.+S, 02.60.-X

Type

Scientific paper

Abstract

We describe the application of the implicit midpoint integrator to the problem of attitude dynamics for low-altitude satellites without the use of quaternions. Initially, we consider the satellite to rotate without external torques applied to it. We compare the numerical solution with the exact solution in terms of Jacobi’s elliptic functions. Then, we include the gravity-gradient torque, where the implicit midpoint integrator proves to be a fast, simple and accurate method. Higher-order versions of the implicit midpoint scheme are compared to Gauss-Legendre Runge-Kutta methods in terms of accuracy and processing time. Finally, we investigate the performance of a parameter-adaptive Kalman filter based on the implicit midpoint integrator for the determination of the principal moments of inertia through observations.

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