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It will get trickier for interstellar distances. In Newtonian mechanics v = at, so it'd acquire rather less than the usual 12 months to succeed in c at one g acceleration. But relativity will not let that, we could only get near c.
How to go about calculating the scale and energy specifications for a space-based linear accelerator or railgun to speed up small probes? five
From your stationary observer's viewpoint the traveler's rate of acceleration would gradual as they approached the velocity of light. The traveler would see no transform amongst their speed plus the speed of light. Rather they might expertise time at an significantly slower fee which might efficiently trigger the gap to the spot to be shorter.
Our Newtonian design is ok for just about a calendar year of acceleration and following that relativity wrecks this pleasant parabola:
Naturally, you don't need to point straight up, and TidalWave's assumption that what you intended is nine.8m/s/s is probably suitable - but note that Nevertheless, his solution provides you with a minimal, eg assuming you can switch off gravity as well as environment (and the assumptions he mentions at the highest). $endgroup$
James JenkinsJames Jenkins 27.2k2323 gold badges108108 silver badges242242 bronze badges $endgroup$ 3 4 $begingroup$ "1g of thrust" pointed straight up will harmony gravity, and end in you floating. "1g" (as I read it), would be the acceleration a result of the Earth's gravity; if which is how you truly determine it, then your acceleration decreases as you get additional (and 'come to feel a lot less pull') from Earth.
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What is the largest system in the photo voltaic system we could meaningfully and correctly modify the orbit of? two
if we let ourselves to suppose a=9.8m/s/s, then it isn't trusted mass, so relativity isn't really a big challenge. $endgroup$
But that point is within the viewpoint of stationary observers in the departure level. The excursion's length with the traveler's viewpoint would be much less a result of the time dilation influence predicted by Einstein's Principle of Relativity. The bigger the space, the bigger the velocity with the stationary observer's viewpoint.
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one $begingroup$ @Mark not quite true. In any case, should you observe issues slipping in regular gravity, you continue to won't be able to see them go beyond speed of sunshine, indicating that Newtonian physics won't maintain even as found via the ship. $endgroup$
HopDavidHopDavid 16k4444 silver badges8080 bronze badges $endgroup$ nine 20 $begingroup$ Your "include a little more than the usual year for every lightyear distance" is suitable for an out of doors observer, but for somebody aboard the ship, the Newtonian design is correct for all distances (as calculated before starting acceleration): Lorentz contraction will shrink the universe all through journey to present the appearance of Newtonian physics. $endgroup$
Mainly because of the time dilation impact, 1G acceleration need to be adequate to journey any where in our galaxy in below a life span in the viewpoint on the traveler, although not the stationary observer. For more info on the time dilation result examine Stephen Hawking's "Brief Background of Time"