Charlie's Web Sector 14 - Travel Time to Alpha Centauri
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Alpha Centauri
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Alpha Centauri
Alpha Centauri Pictures
  Alpha Centauri is the closest star to our sun at a distance of 4.4 light years. I once read an expert's estimate that if we poured resources into a project to get a probe to Alpha Centauri, comparable to what we did to get to the moon, in a decade we'd have a probe that could get there within a human lifetime, 40-50 years. Then of course, it'd take 4.4 years to get the first pictures back. Anyway, this got me thinking. How long, more specifically, would it take to get to Alpha Centauri, the closest star, at different percentages of light speed? How does this compare with speeds we are able to achieve with our current technology?

A few facts...
Distance to Alpha Centauri 4.4 Light Yearsspacer
Speed of Light, in MPS 186,282.398spacer
Seconds in One Year 31,536,000spacer
One Light Year in Miles 5,874,601,690,713.6spacer
Miles to Alpha Centauri 25,848,247,439,139.8spacer

Here's what it's going to take!
Speed Record % Light Speed spacerMPS spacerTravel in Years
  spacer100 spacer186,282.398 spacer4.40
  spacer90 spacer167,654.158 spacer4.89
  spacer80 spacer149,025.918 spacer5.50
  spacer70 spacer130,397.678 spacer6.29
  spacer60 spacer111,769.439 spacer7.33
  spacer50 spacer93,141.199 spacer8.80
  spacer40 spacer74,512.959 spacer11.00
  spacer30 spacer55,884.719 spacer14.67
  spacer20 spacer37,256.480 spacer22.00
  spacer10 spacer18,628.240 spacer44.00
  spacer1 spacer1,862.824 spacer440.00
27.4 MPS is the speed of the the fastest man-made object, the Ulysses probe. This speed was achieved using multiple gravity assists from various planets to achieve a circumpolar orbit around the sun spacer0.0147089 spacer27.400 spacer29,913.96
10.278 MPS is 37,000 MPH, the approximate speed of the Voyager 1 and 2 probes spacer0.0055173 spacer10.278 spacer79,749.30
0.59 MPS is 2,124 MPH, over Mach 3, the unclassified speed record of the SR-71 Blackbird, set crossing the continental U.S. in 1990 spacer0.0003167 spacer0.590 spacer1,389,224.66
0.375 MPS is 1,350 MPH, just over Mach 2, the cruising speed of the Concorde spacer0.0002013 spacer0.375 spacer2,185,713.47
0.066 MPS is 237.498 MPH, the Indianapolis 500 speed record, set by Arie Luyendyk in 1996 spacer0.0000354 spacer0.066 spacer12,429,288.87
0.015 MPS is 55 MPH spacer0.0000082 spacer0.015 spacer53,649,330.51

Really puts it into perspective, doesn't it? Hmm, personally I don't have 53.6 million years to kill on a road trip...

Here's something else too. Lately I've been reading the book "The Physics of Star Trek" by Lawrence M. Krauss (fascinating stuff!), and I came across another thing relating to this subject. Suppose you had a starship capable of traveling at 50% light speed, and you've prepared yourself for the long trip to Alpha Centauri (eight years and nine 1/2 months), and you're all strapped in and ready to go, then Mr. Krauss points out:

"If I want to accelerate from rest to, say, 150,000 km/sec, or about half the speed of light, I have to do it gradually, so that my body will not be torn apart in the process. In order not to be pushed back into my seat with a force greater than 3 Gs [...] it would take some 5 million seconds, or about 2 1/2 months, to reach half light speed!"

Mr. Krauss goes on to say that spending 2 1/2 months accelerating to "half impulse" would make for an extremely dull Star Trek episode, and it certainly would! For us though, it just makes our 50% light speed trip to Alpha Centauri take 9 years and 2 1/2 months. However, there's another thing. Could the human body survive living at 3 gravities for 2 1/2 months? Fighter pilots and astronauts go through high G periods, but for seconds or minutes at most! Not for months! Perhaps it would be better to add a few more months to the trip and limit the acceleration to 1 G. I'd tell you how long the trip would take with a 1 G acceleration limit, but I don't know what calculations Mr. Krauss used to arrive at 2 1/2 months at 3 Gs to get to 50% light speed in the first place...

Woah! Just because I don't know, doesn't mean no one knows! Many thanks to Stuart Forbes, webmaster of the Space Exploration Discussion Page, who does know those calculations and sent me the following!

"Well, I've just done some calculations. At an acceleration of 1G after 365 days your velocity would be 315,360 kilometers per second. This however, does not take into account the increase in mass predicted by relativity, so it would probably be a good bit lower than that, although certainly beyond 3/4 of the speed of light. As a result, for one year of Earth time (time inside the spacecraft would have slowed down considerably by now, to 1/4 of it's usual time, if I've got my sums right) you have normal Earth gravity. So to get to Alpha Centauri would take less than two years as the spacecraft and its occupants would perceive it. This takes into account the year (in Earth time) it would take to slow the ship down again. This is well within the capabilities of a theoretical ion-engine, which is, unfortunately, not yet a practical possibility. But it will be one day."

Stuart Forbes

Thanks Stuart!


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