  We present the analytical solutions for the trajectories of particles that
spiral and plunge inward the event horizon along the timelike geodesics
following general non-equatorial paths within Kerr-Newman spacetimes. Our
studies encompass both bound and unbound motions. The solutions can be written
in terms of the elliptical integrals and the Jacobian elliptic functions of
manifestly real functions of the Mino time. They can respectively reduce to the
Kerr, Reissner-Nordstr$\ddot{o}$m, and Schwarzschild black holes in certain
limits of the spin and charge of the black holes, and can be compared with the
known ones restricted in equatorial motion. These explicit solutions may have
some implications for the gravitational wave emission from extreme mass-ratio
inspirals.
