Newton's laws

The motions of bodies are based on three laws that were experimentally verified by Newton and should hold in any inertial frame:

  1. An object at rest tends to stay at rest, and an object in motion tends to stay in motion with fixed speed, unless a nonzero resultant13.8force acts upon it.
  2. The relationship between a body mass $ m$, its acceleration $ a$, and an applied force $ f$ is $ f = ma$.
  3. The interaction forces between two bodies are of equal magnitude and in opposite directions.
Based on these laws, the differential constraints on a system of moving bodies can be modeled.

Steven M LaValle 2012-04-20