Timelike bound orbits in JMN-1 naked singularity spacetimes can precess opposite to the direction of particle motion when 0<M0<1/3, unlike Schwarzschild orbits, with precession factor m=sqrt(2-3M0).
In JMN-2, also we can have two type of precession
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Timelike geodesics in Naked Singularity and Black Hole Spacetimes
Timelike bound orbits in JMN-1 naked singularity spacetimes can precess opposite to the direction of particle motion when 0<M0<1/3, unlike Schwarzschild orbits, with precession factor m=sqrt(2-3M0).