Application of quaternions in problems of rigid-body dynamics in the atmosphere

Details Application of quaternions in problems of rigid-body dynamics in the atmosphere Application of quaternions in problems of rigid-body dynamics in the atmosphere

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..626l&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, July-Aug. 1984, p. 626-629. In Russian.

Statistics

Computation

Astrodynamics, Hamiltonian Functions, Inertial Navigation, Kinematic Equations, Quaternions, Atmospheric Entry, Attitude Control, Body Kinematics, Cosine Series, Rigid Structures, Run Time (Computers), Space Navigation

Scientific paper

The quaternion method involving the Rodrigues-Hamilton parameters is compared with the directing-cosine method in terms of computational costs and the convenience of machine realization. It is shown that the quaternion method is almost twice as cost-effective. Quaternions are thus recommended as the most convenient kinematic parameters not only for solving problems of attitude control in space but also for the numerical analysis of rigid-body dynamics in the atmosphere. The use of the quaternion formalism in the kinematic equations also facilitates simulation.

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