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New canonical variables for orbital and rotational motions. (English) Zbl 0817.70007

Summary: A new canonical transformation of freedom two was found. By using this, we derived three new sets of canonical variables for the orbital motion and two for the rotational motion. New canonical variables have clear physical meanings and remain well-defined in the case when the classical sets become ill-defined, for example, when the eccentricity and/or the inclination is small for the elliptic orbital motion.

MSC:

70F15 Celestial mechanics
70H15 Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics
70M20 Orbital mechanics
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