Dynamically equivalent implicit algorithms for the integration of rigid body rotations
نویسندگان
چکیده
Two midpoint-trapezoid pairs of dynamically equivalent (conjugate) algorithms are derived as compositions of first-order forward Euler and backward Euler integrators as applied to an incremental form of the initial-value problem of three-dimensional rigid body rotation. The algorithms are related to the recently developed methodology of the so-called Munthe-Kaas Runge–Kutta methods. Selected examples are used to illustrate the excellent long-term integration properties. Copyright q 2006 John Wiley & Sons, Ltd.
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