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We present the analytical solutions for the trajectories that spiral andplunge inward the event horizon along the timelike geodesics of particlesfollowing general non-equatorial paths within Kerr-Newman spacetimes. Ourstudies encompass both bound and unbound motions. The solutions can be writtenin terms of the elliptical integrals and the Jacobian elliptic functions ofmanifestly real functions of the Mino time, and can respectively reduce to theKerr, Reissner-Nordstr$\ddot{o}$m, and Schwarzschild black holes in certainlimits of the spin and charge of the black holes. The results can be comparedwith some of the known ones restricted in the equatorial plane. These explicitsolutions may find applications such as the black hole accretion.

Inspiral and Plunging Orbits in Kerr-Newman Spacetimes