Gradient coefficients of the field of tangents in systems amenable to separation of variables

Details Gradient coefficients of the field of tangents in systems amenable to separation of variables Gradient coefficients of the field of tangents in systems amenable to separation of variables

Apr 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979velen....q..99p&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Apr. 1979, p. 99-103. In Russian.

Astronomy and Astrophysics

Astronomy

Astronomical Coordinates, Celestial Mechanics, Hamilton-Jacobi Equation, Equations Of Motion, Partial Differential Equations, Velocity Distribution

Scientific paper

In the case of two velocity fields at each point in the orbital zone, there exist just two possible trajectory directions. A change in the orbital angle of inclination in the tangential direction and along the normal to the trajectory is an important characteristic of the velocity field. A qualitative analytical expression for the gradient of the field of tangents along the normal to the trajectory was derived by Agekian (1976). In the present paper, explicit expressions for the gradient coefficients in Agekian's equation are derived for situations where the problem is amenable to solution by separation of variables.

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