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We derive here the orbit equations of particles in naked singularityspacetimes, namely the Bertrand (BST) and Janis-Newman-Winicour (JNW)geometries, and for the Schwarzschild black hole. We plot the orbit equationsand find the Perihelion precession of the orbits of particles in the BST andJNW spacetimes and compare these with the Schwarzschild black hole spacetime.We find and discuss different distinguishing properties in the effectivepotentials and orbits of particle in BST, JNW and Schwarzschild spacetimes, andthe particle trajectories are shown for the matching of BST with an externalSchwarzschild spacetime. We show that the nature of perihelion precession oforbits in BST and Schwarzschild spacetimes are similar, while in the JNW casethe nature of perihelion precession of orbits is opposite to that of theSchwarzschild and BST spacetimes. Other interesting and important features ofthese orbits are pointed out.

Timelike Geodesics in Naked Singularity and Black Hole Spacetimes II