A normalized form of Euler’s equations is rewritten in a variation of parameters approach using amplitudes and angular displacement as parameters. This new form is compact and yields a more accurate numerically integrated solution over longer simulation times than does a conventional integration of the Euler equations.

Issue Section:
Brief Notes
Topics:
Displacement, Simulation
1.
Bond
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A Variation of Parameters Approach for the Solution of the Differential Equations for the Rotational Motion of a Rigid Body
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2.
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,”
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5.
Kraige, G. L., 1978, “The Development and Numerical Testing of a Variation of Parameters Approach to the Arbitrarily Torqued, Asymmetric Rigid Body Problem,” Report No. VP1-E-78-9, Virginia Polytechnic Institute, Blacksburg, VA, pp. 1–85.
6.
Richardson
D. L.
,
Schmidt
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, and
Mitchell
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,
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, “
Improved Chebyshev Methods for the Numerical Integration of First-Order Differential Equations
,”
Proceedings of the 8th AAS/AIAA Spaceflight Mechanics Meeting: Advances in the Astronautical Sciences
, Vol.
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, Part II, pp.
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.
7.
Williams
T.
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Dynamics of a Near-Symmetrical Spacecraft Driven by a Constant Thrust
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