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It gets trickier for interstellar distances. In Newtonian mechanics v = at, so it'd just take rather less than a yr to achieve c at 1 g acceleration. But relativity would not enable that, we can only get close to c.
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Through the stationary observer's viewpoint the traveler's rate of acceleration would gradual because they approached the pace of light. The traveler would see no alter amongst their pace and the pace of sunshine. In its place they would expertise time at an more and more slower price which would effectively trigger the distance to the desired destination to become shorter.
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if we let ourselves to presume a=9.8m/s/s, then it isn't really depended on mass, so relativity just isn't an enormous dilemma. $endgroup$
But that time is in the viewpoint of stationary observers within the departure position. The excursion's period in the traveler's viewpoint will be considerably less as a result of time dilation outcome predicted by Einstein's Principle of Relativity. The greater the gap, the higher the pace from your stationary observer's viewpoint.
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one $begingroup$ @Mark not quite legitimate. In any case, if you observe things falling in continual gravity, you still can't see them transcend speed of light, which means that Newtonian physics does not hold even as found from the ship. $endgroup$
HopDavidHopDavid 16k4444 silver badges8080 bronze badges $endgroup$ nine 20 $begingroup$ Your "add a little more than a yr for every lightyear length" is correct for an out of doors observer, but for somebody aboard the ship, the Newtonian product is proper for all distances (as calculated before beginning acceleration): Lorentz contraction will shrink the universe through vacation to offer the appearance of Newtonian physics. $endgroup$
Because of the time dilation result, 1G acceleration need to be ample to journey anywhere inside our galaxy in fewer than a life time with the viewpoint on the traveler, although not the stationary observer. To learn more on the time dilation influence go through Stephen Hawking's "Transient Background of Time"