| 1. | Where \ omega is the angular velocity of the rotating coordinate system.
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| 2. | This was from the point of view of the rotating coordinate system.
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| 3. | The non-orthogonal rotating coordinate system may be imagined to be rigidly attached to a rigid body.
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| 4. | This animation represents the motion of the drops of water with respect to a co-rotating coordinate system.
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| 5. | When a rotating coordinate system is used the centrifugal term and the coriolis term are added to the equation of motion.
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| 6. | The red arrows represent the centrifugal term of the equation of motion for motion with respect to a rotating coordinate system.
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| 7. | The green arrows represent the coriolis term of the equation of motion for motion with respect to a rotating coordinate system.
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| 8. | It is easy to calculate the trajectory of the small body in that rotating coordinate system, with the two fixed stars.
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| 9. | The two latter points are stable, which implies that objects can orbit around them in a rotating coordinate system tied to the two large bodies.
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| 10. | The rotated coordinate system ( x', y') makes an angle \ theta with the original coordinate system ( x, y ).
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