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Perturbative Equations of Motion and Differential Operators in Nonplanar Curvilinear Coordinates


To analyze perturbative effects in the proximity of a reference orbit, it is often advantageous to describe the motion in terms of a set of relative coordinates. We study the relative motion in an attached moving Dreibein that has freedom of torsion in configuration space. The original motion is assumed to be due to the action of scalar or vector potentials, such as those that arise in gravitation or electromagnetic systems. Transformation rules for the potentials, common differential operators, and the resulting equations of motion are derived.

K. Makino, M. Berz, International Journal of Applied Mathematics 3(4) (2000) 421-440


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