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Mangalam (Indian Institute of Astrophysics), Prerna Rana","submitted_at":"2019-01-09T13:31:41Z","abstract_excerpt":"We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\\{ \\phi \\left( r, \\theta \\right)$, $\\ t \\left( r, \\theta \\right),\\ r \\left( \\theta \\right) \\}$, around a Kerr black hole by using the transformation $1/r=\\mu \\left(1+ e \\cos \\chi \\right)$. The application of the solutions is straightforward and numerically fast. 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