Question on Time Dilation and the Speed of Light?

This Javascript calculator could calculate lots of things related to relativity for you http://www.geocities.com/orichalc_of_moon/RelCalc0...

I have no idea if the mathematics is proper however the precept is sound. The individual journeying at top pace might age lower than anyone who stayed on the earth. Checkout the dual paradox. edit* I simply realised some thing you may also have got to don't forget. When the send arrives on the vacation spot the period of time it took to arrive the alien global, from an extraterrestrial beings factor of view, might nonetheless be a 12 months now not fifty one days. This is major if this is a very lengthy travel. Also, I do not feel FTL verbal exchange will ever be feasible, regardless of how complex technological know-how turns into someday. If it have been feasible you'll need to manage time journey paradoxes which cannot be resolved and would destroy the tale. Earth will need to wait 2 years to obtain the message of the visitors nontoxic arrival. edit* Is any person nonetheless tracking this question? I'm now not certain who has the proper reply. If you appear on the drawback totally in phrases of specific relativity, then Argent's reply looks proper. But Oni Seetan's reply has piqued my curiosity. Is the aspect of the reply that is lacking have some thing to do with Lorentz contraction? Does the Lorentz contraction adjust the visitor's dimension of period in order that after fifty one days, from their factor of view, they have got most effective travelled a fragment of the space to their vacation spot? How do Einstein's and Lorentz's theories mix? Can anyone explain their reply to incorporate this? I desire that edit made experience, I'm eager about this area, and might love a entire reply. =)

Did they travel for 237 of your years or 237 of their years? Major difference...

If they traveled for 237 of your years, they've traveled a distance of 237 * 0.99999 = 236.9976 light years, but their clock has only advanced 1.0599 years.

If they traveled for 237 of their years, then your clock has counted 74,946 years, and they have traveled a distance of 74,946 * 0.99999 = 74,945 light years.

The formula is:

T = t / sqrt(1 - v^2/c^2)

Where v is the velocity of the ship, c is the speed of light, T is the time on your clock, and t is the time on their clock. Since v^2/c^2 is a unitless ratio, you can just use 0.99999 for v and 1 for c.

Note: it looks like they are breaking the speed of light in their frame of reference because they travel 237 light years in 1 year (or 75,000 light years in 237 years) but this is resolved by the relativistic length contraction. They have traveled 237 light years in your frame of reference, but in their moving frame of reference they've only traveled 1 light year. Only when they stop and return to your frame of reference does their distance measurement agree with yours.

Relativity is a funny thing...

T = To sq rt (1 - v*2/c*2)

T = (237) sq rt (1 - 0.99999*2)

T = 1.06 years

Here's a calculator:

http://hyperphysics.phy-astr.gsu.edu/hbase/relativ...

Hope that helps...

"...How much time passed for the people on that ship?..."

For the people on the ship the passage of time doesn't change at all..! Therefore, for those on the ship 237 years passes.

However, RELATIVE to them and those left back on Earth, the effects of time dilation come into effect.

For those time dilation effects, see the math done by djh1960