Three theorems on relative motion

Mathematics

Scientific paper

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Body Kinematics, Celestial Mechanics, Encke Method, Equations Of Motion, Linear Transformations, Eigenvalues, Gravitational Fields, Linear Equations, Many Body Problem, Motion Stability, Particle Motion, Theorems

Scientific paper

The three theorems treat the analytical aspects of the relative motion
of non-interacting particles influenced by arbitrary force fields. As
special cases motion in gravitational and central force fields are
discussed. The theorems generalize Encke's method, Euler's
transformation and Sundman's regularization.

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