Mathematics
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11..301l&link_type=abstract
Celestial Mechanics, vol. 11, May 1975, p. 301-317.
Mathematics
1
Body Kinematics, Equations Of Motion, Rigid Structures, Topology, Trees (Mathematics), Digital Simulation, Euler-Lagrange Equation, Numerical Integration, Orbital Mechanics, Spacecraft Motion
Scientific paper
The purpose of the present paper is to explore the applicability of several methods of analytical mechanics to the modern problem of formulating generic equations of motion of a point-connected set of rigid bodies in a topological tree, in order to compare the results of the previously published Hooker-Margulies/Hooker equations. The unexpected result of the inquiry is the discovery that with the substitution of a key kinematical identity from the Hooker and Margulies vector-dyadic equations for the multiple-rigid-body tree, identical equations emerge from each of four quite different derivation procedures.
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