A TENSOR CLOSED-FORM SOLUTION OF TWO-BODY PROBLEM IN ROTATING REFERENCE FRAME
Abstract
The paper presents a comprehensive analysis, together with the derivation of a closed-form solution to the two-body problem in rotating non-inertial reference frames. By using an efficient tensor mathematical instrument, which is closely related to the attitude kinematics methods, the motion in the rotating non-inertial reference frame is completely solved. The closed-form solutions for the motion in the non-inertial frame, the motion of the mass center, and the relative motion are presented. Dynamical characteristics similar to linear momentum, angular momentum, and total energy are introduced.
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