Determination of the potential in a synodic system

Details Determination of the potential in a synodic system Determination of the potential in a synodic system

May 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..24...23s&link_type=abstract

Celestial Mechanics, vol. 24, May 1981, p. 23-26. Research supported by the University of Texas, NSF, NASA, and NATO.

Computer Science

17

Celestial Mechanics, Equations Of Motion, Orbital Mechanics, Partial Differential Equations, Potential Fields, Centrifugal Force, Coriolis Effect, Lagrange Multipliers, Nonlinear Systems

Scientific paper

Determination of the potential field in a fixed (inertial) system may be accomplished by the solution of a homogeneous linear partial differential equation when a family of orbits of a body moving in the field is given. This partial differential equation was presented and thoroughly analyzed earlier. The present paper discusses the same problem in a rotating system where the centrifugal and Coriolis effects render the pertinent partial differential equation in general non-homogeneous and non-linear. A linear, though non-homogeneous, partial differential equation for the determination of the synodic potential is obtained only in the special case of iso-energetic families of orbits.

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