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Frame theorems


Johnny5

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I would like some help developing what I am going to call frame theorems.

 

For right now, I am going to define frame as synonymous with a three dimensional rectangular coordinate system. It's just easier to say frame.

 

Theorem 1: If F is an inertial reference frame, then any frame G whose coordinates are related to the coordinates of F by a simple rotation through an angle f is also an inertial frame.

 

Has anyone seen this theorem before?

 

 

 

PS: Here is my goal. I want the frame theorems to increase my ability to solve physics problems. Specifically problems dealing with rotation, and translation. In other words, the goal of the theorems isn't to be in vain, knowledge of the theorems should actually increase my spatio-temporal reasoning ability. In other words, the theorems are to have a practical purpose.

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