KLT of radio signals from relativistic spaceships in uniform and decelerated motion

Part of the Springer Praxis Books book series (PRAXIS)


It is well known that in special relativity two time variables exist: the coordinate time t, which is the time measured in the fixed reference frame, and the proper time τ, which is the time shown by a clock rigidly connected to the moving body. They are related by
$$ \tau (t) = \int_0^t {\sqrt {1 - \frac{{v^2 (s)}} {{c^2 }}} ds} $$
where v(t) is the body velocity and c is the speed of light (see [1, p. 44]).


Time Variable Reference Frame Special Relativity Proper Time Radio Signal 
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© Praxis Publishing Ltd, Chichester, UK 2009

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