|  | 1. | More details about hyperbolic motion is discussed at Rindler coordinates. 
 
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|  | 2. | :: That equation describes hyperbolic motion ( relativity ). 
 
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|  | 3. | A frame of reference under constant acceleration is sometimes described as in hyperbolic motion. 
 
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|  | 4. | An object moving with constant proper acceleration like that is said to undergo hyperbolic motion. 
 
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|  | 5. | In the latter case, hyperbolic motions provide an approach to the subject for beginners. 
 
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|  | 6. | If instead there are initial values different from zero, the formulas for hyperbolic motion assume the form 
 
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|  | 7. | For instance, see Karzel and Kist for the hyperbolic motion group representation with 2 ?2 real matrices. 
 
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|  | 8. | "' Hyperbolic motion "'is the motion of an object with constant proper acceleration in special relativity. 
 
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|  | 9. | For example, see Hyperbolic motion ( relativity ), which deals with an accelerating object, but only uses special relativity. 
 
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|  | 10. | Subsequently, he derived the same formulas as in 1911 for rest acceleration and hyperbolic motion, and the hyperbolic reference frame. 
 
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