Chapter 26. Quaternion Rotator Dynamics

In nature, rigid 3D extended objects follow two sets of laws that determine their motion in the course of interacting with their external environment.

  • Response to force: The response to a force F acting on the center of mass is to accelerate or change the velocity Response to force: of the center-of-mass position x. One can then in theory integrate the differential equations

    Equation 26.1. 

    and compute the path of the center of mass over time, as shown in Figure 26.1a.

    Figure 26.1. Response of a rigid extended body to (a) external ...

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