Characteristics of resonant periodic orbits
Copyright policy )Characteristics of resonant periodic orbits
We study the families of periodic orbits in a time-independent two-dimensional potential field symmetric with respect to both axes. By numerical calculations we find characteristic curves of several families of periodic orbits when the ratio of the unperturbed frequencies isA1/2/B1/2=2/1. There are two groups of characteristic curves: (a) The basic characteristic and the characteristics which bifurcate from it. (b) The characteristics which start from the boundary line and the axisx=0.
characteristic curves, families of periodic orbits, Celestial mechanics, Orbital mechanics, Kinematics of a particle, bifurcate, Computational methods for problems pertaining to mechanics of particles and systems, Runge-Kutta method in double precision, resonant orbits
characteristic curves, families of periodic orbits, Celestial mechanics, Orbital mechanics, Kinematics of a particle, bifurcate, Computational methods for problems pertaining to mechanics of particles and systems, Runge-Kutta method in double precision, resonant orbits
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