New canonical variables for orbital and rotational motions

Details New canonical variables for orbital and rotational motions New canonical variables for orbital and rotational motions

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60...57f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 57-68

Mathematics

Dynamical Systems

9

Canonical Forms, Circular Orbits, Elliptical Orbits, Orbit Calculation, Orbital Mechanics, Rotation, Transformations (Mathematics), Angular Momentum, Dynamical Systems, Eccentricity

Scientific paper

A new canonical transformation of freedom two was found. By using this, we derived three new sets of canonical varibles 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.

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