Theoretical Mathematics & Applications
Bounded solutions to the differential equation of planetary motion under general relativity
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In this brief note, the nonlinear differential equation describing planetary motion under general relativity is studied using polar coordinates and the phase space (r,r,). Conditions are then given when the relativistic equation yield bounded solutions by looking at the equilibrium points of first integrals of the equation.
ISSN: 1792-9687 (Print)