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A faraway clock

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My spaceship is receding from a distant planet where there is a clock. I am looking back at this clock through my trusty telescope.

As my speed relative to the planet approaches c, does the clock appear to stop (or just slow down) ?

Thank you.

 

PS I believe Einstein pondered this problem when in a tramcar moving away from the clock tower in Berne.

wouldn't it slow down as you approach C, dimming along with the planet. I would presume it would remain visible until distances would bring the cosmolgical constant into play and you would reach the edge of the light cone and all visible cues would be lost...

Edited by hoola

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