So the " fictitious forces " are just apparent artifacts of the rotating coordinate system and don't really affect the physical behavior, right?
12.
Intrinsic rotations are elemental rotations that occur about the axes of the rotating coordinate system " XYZ ", which changes its orientation after each elemental rotation.
13.
Animation 03 is a sequence of 6 images, each depicting the centrifugal term and the coriolis term of the equation of motion for motion with respect to a rotating coordinate system.
14.
It is important to note that the centrifugal term is determined by the angular velocity of the rotating coordinate system; the centrifugal term does not relate to the motion of the object.
15.
We introduce a rotating coordinate system, with an angular velocity \ omega, such that a satellite in a circular orbit in the ? = ? / 2 plane remains at rest.
16.
The coordinates of P'in the active case ( that is, relative to the original coordinate system ) are the same as the coordinates of P relative to the rotated coordinate system.
17.
The Mohr circle is then used to determine graphically the stress components acting on a rotated coordinate system, i . e ., acting on a differently oriented plane passing through that point.
18.
This is essentially Kepler's law of periods, which happens to be relativistically exact when expressed in terms of the time coordinate " t " of this particular rotating coordinate system.
19.
The Mohr circle is then used to determine graphically the stress components acting on a rotated coordinate system, i . e ., acting on a differently oriented plane passing through that point ."
20.
Performing the two operations in sequence, i . e . first the rotation and then the translation ( with translation vector given in the already rotated coordinate system ), gives a combined rotation and translation matrix
