Elliptical Harmonic Motion and Euler–Savary Formula

In this paper, we have introduced elliptical harmonic motion in terms of elliptical numbers. In addition, we have found the relationships between the absolute, the relative and the sliding velocities and accelerations of the aforesaid motion. Furthermore, the canonical relative system of the motion has been defined. At last, we have obtained the Euler–Savary formula for the motion with the help of this relative system.