Time Dilation to Reach 10% Light Speed

Ascent's picture
Ascent
September 18, 2011 - 1:33pm
A recent post got me thinking about time dilation.

What would be the time and the time dilation when increasing to Light Speed at ADF 1? And what would be the difference in total time with dilation between that and ADF 6?

What would be the time passed for the galaxy and what would be the time passed for those on board the ship?
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Comments:

Shadow Shack's picture
Shadow Shack
September 18, 2011 - 4:10pm
Without any attempts at scientific explanation (which I'd have a difficult time gathering/explaining anyways), it really wouldn't make any difference what your acceleration rate is when entering the void. In other words, if you're coasting along at (Void Speed minus 1ADF) it doesn't matter if you accelerate at ADF:1 or ADF:100, one you hit Void Speed you enter the Void. Traveling through the void isn't a rate of speed, it's simply a phenomenon that happens when you attain 1% of light speed..."real space" gets replaced with "Void space".

After which the only thing that matters is how much "real time" is spent in the Void (which in my game translates to one second per light year), the decel/retro thrusters kick in to drop you back into "real space" accordingly.
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Ascent's picture
Ascent
September 19, 2011 - 12:32am
That's why I didn't address the void. I want to know about the time dilation before and after void travel. There is a significant dilation just leaving and re-entering the atmosphere. I want to know what the dilation is for reaching the void. I already know that travel in the void doesn't affect it. I want to know the hours and days of difference resulting from plain space travel.
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"That guy's wise." —Logray, Star Wars Ep.VI: Return of the Jedi
Do You Wanna Date My Avatar? - Felicia Day (The Guild)

jedion357's picture
jedion357
September 19, 2011 - 4:35am
Two things; your example is 10%C and void speed is 1%C. IIRC time dilation at 1%C is insignificant so as to be ignored. However your example is 10%C so perhaps it will be noticeably shorter. But I don't have the math on hand and would have to pull a book and look up the formula, the thought of which at this time in the morning is too painful before my first cup of coffee. Perhaps Term Knar knows off the top of his head. EDIT: that's Terl Obar, damn you autocorrect.
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TerlObar's picture
TerlObar
September 19, 2011 - 5:40am
At 10% c, time dilation is only about 5.1%.  So for the ship if an hour passed, those on the planet would see an hour and three minutes and 4.7 seconds go by.  Not really enough to worry about.
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Ascent's picture
Ascent
September 19, 2011 - 2:21pm
I meant 1%. Sorry. Boy, you all need a 'literal filter'. Laughing 
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"That guy's wise." —Logray, Star Wars Ep.VI: Return of the Jedi
Do You Wanna Date My Avatar? - Felicia Day (The Guild)

TerlObar's picture
TerlObar
September 19, 2011 - 2:32pm
Time dilation at 1% c is only 0.5%  or an extra 18 seconds per hour.
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Ascent's picture
Ascent
September 19, 2011 - 3:55pm
Okay, so a 7 day trip toward the void would have only about 50.4 minutes time dilation?
View my profile for a list of articles I have written, am writing, will write.
"It's yo' mama!" —Wicket W. Warrick, Star Wars Ep. VI: Return of the Jedi
"That guy's wise." —Logray, Star Wars Ep.VI: Return of the Jedi
Do You Wanna Date My Avatar? - Felicia Day (The Guild)

TerlObar's picture
TerlObar
September 19, 2011 - 4:05pm
Actually, it would be even less than that, probably something on the order of a little less than half of that, since that 0.5% is only applicable at 1%c.  At lower speeds it would be even less of an effect.  To calculate it exactly you'd have to integrate the time dilation equation (which is a function of velocity) over the velocity as a function of time.  It can be done, it's just ugly.Smile  But as a good approximation using something like 2 or 2.5% average is probaby pretty close.
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thespiritcoyote's picture
thespiritcoyote
September 20, 2011 - 6:30am
Now for extra credit, calculate the communication signal delays of two ships moving at opposed jump-orbit transitions (one is decelerating inward, one accelerating outward) on opposite sides of the system.
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TerlObar's picture
TerlObar
September 20, 2011 - 8:41am
There are no extra delays, everything moves at the speed of light Smile so it is just the distance/c regardless of velocity. However, the wavelengths would be blue shifted by up to 2% depending on their velocity and relative trajectories (i.e. both just under jump speed and headed directly toward each other = 2% shift, any other configuration results in a lower effect.)
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thespiritcoyote's picture
thespiritcoyote
September 21, 2011 - 10:00am

 Two ships (Ship-A and Ship-B) are moving at effective velocity to incur a time-dilation effect of 1day per 1min-ship-time, from a relative perspective of a com-tower on an asteroid in orbit of a cold super-jovian of 14Mj (Point-C)...
 Captain of Ship-A sends a 30min report to Point-C at his ship-time, Captain of Ship-B attempts to intercept the report at his ship-time, a Com-Ops Officer of Point-C attempts to send a 5second com-warning to Ship-B regarding it's unauthorized flight-path near a restricted area at Point-C's System Synced Time...
 How many games of solitaire are won and lost on average by all three Officers waiting for signals to be processed into something intelligible before the Sathar show up?

Oh humans!! Innocent We discover a galactic community filled with multiple species of aliens, and the first thing we think about is "how can we have sex with them?".
~ anymoose, somewhere on the net...

so...
if you square a square it becomes a cube...
if you square a cube does it become an octoid?