Application of Szebehely's Inverse Problem to Non-Stationary Dynamical Systems

G.T. Omarova, T.S. Kozhanov
1993 International Astronomical Union Colloquium  
AbstractA first-order linear partial differential equation is presented, giving the non-stationary potential functions U=U (x,y,t) which give rise to a given family of evoling planar orbits f(x,y,t) = c in two-dimensional dynamical system. It is shown, that this equation is applied in celestial mechanics of variable mass.
doi:10.1017/s0252921100066264 fatcat:owhzoyk2x5eehnng7bv64ohk2q