Generic singularities of spherical orthotomic curves associated with spherical pedal curves

For the n-dimensional spherical pedal curve $pe{d}_{\gamma ,P}$ with respect to an n-dimensional spherical unit speed curve $\gamma$ and a given point $P \in S^n$,wedefinethesphericalorthotomiccurveof$\gamma$ relative to the point $P$, and classify singularities of spherical orthotomic curves.