There is a spacecraft in the form of a ball of radius R and mass M, uniformly distributed over the volume. We investigate the rotation around an axis passing through the center of the spacecraft such that a set of engines with masses m1, m2, m3 lies in the plane of rotation. Each engine can give angular acceleration eps_i. The initial rotation speed w is given.


(a) Investigate different variants of angular accelerations for one motor (constant, variable). Solve the basic equation of rigid body dynamics, see if the rotational velocity can be zeroed out.


(b) Investigate different arrangements of orientation control motors (one, two, three, different angles between them). Investigate the issue of the fastest settling of rotation - just parametrically set the angular accelerations and see if the time in which the velocity is zeroed out decreases.


p.s.

You may write a program in python.