# Point dynamics in a moving coordinate system

Apparent forces
The total force in a moving coordinate system can be found by subtracting the apparent forces from the forces working in the reference frame: . The different apparent forces are given by:
• 1. Transformation of the origin:
• 2. Rotation:
• 3. Coriolis force:
• 4. Centrifugal force:

## Tensor notation

Transformation of the Newtonian equations of motion to gives:

The chain rule gives:

so: