I derive the kinematic properties of single-mode P, S1, and S2 waves as well as converted PS1, PS2, and S1S2 waves in elastic orthorhombic media including vertical velocity, two normal moveout velocities defined in vertical symmetry planes, and three anelliptic parameters (two of them are defined in vertical symmetry plane and one parameter is the cross-term one). I show that the azimuthal dependence of normal moveout velocity and anellipticity is different in phase and group domains. The effects on-vertical-axis singularity and on-vertical-axis triplication are considered for pure-mode S1 and S2 waves and converted-mode S1S2 waves. The conditions and properties of on-vertical-axis triplication are defined in terms of kinematic parameters. The results are illustrated in four homogeneous orthorhombic models and one multilayered orthorhombic model with no variation in azimuthal orientation for all the layers.