The Inverse Problem of Dynamics for Systems with Non-Stationary Lagrangian

Details The Inverse Problem of Dynamics for Systems with Non-Stationary Lagrangian The Inverse Problem of Dynamics for Systems with Non-Stationary Lagrangian

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..69..347o&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 69, Issue 4, p. 347-355 (1997).

Astronomy and Astrophysics

Astronomy

1

Inverse Problem Of Dynamics, Szebehely'S Equation, Non-Stationary Lagrangian, Family Of Evolving Orbits, Variable Mass, Perturbed Motion, Inverse Problem Of Dynamics, Szebehely'S Equation, Non-Stationary Lagrangian, Family Of Evolving Orbits, Variable Mass, Perturbed Motion

Scientific paper

We construct a non-stationary form of the Lagrangian of a material point with a known integral of motion and given monoparametric family of evolving orbits. An equation for non-stationary space symmetrical ‘potential’ function of such Lagrangian is given and this stands for the analog of Szebehely's (1974) equation. As an application of the problem, an integrable equation from celestial mechanics of variable mass with use of non-perturbed orbits of evolving type is constructed. On its basis adiabatic invariants of non-stationary two-body problem containing a tangential force are found.

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