Calculate Time Dilation

Calculator for the time inside and outside of very fast moving objects close to the speed of light. The time dilation due to speed is an effect of the special theory of relativity. It causes time to run slower within a moving system, i.e. less time passes than outside. This effect is only noticeable at very high velocities.
Please specify a velocity and optionally a time in rest. The Lorentz factor and the passed time at the corresponding velocity are calculated. One year is calculated as 365.2421875 days.
The Lorentz factor γ is the ratio between the two time spans, the formula for the calculation is γ = 1 / √ 1 - (v/c)²

Example: at half the speed of light (50% c) the Lorentz factor is 1.155, 10 years at rest refer to 8.66 years in motion.

There are two factors that cause time dilation. First, there is time dilation due to relative motion, which can be calculated here. When two systems move relative to each other, an observer in one system sees time passing more slowly in the other, and vice versa. This is equivalent to the above statement that time passes more slowly in moving systems, but expressed somewhat more precisely. This effect is described by the special theory of relativity, which Albert Einstein developed in 1905.
The other factor that causes time dilation is gravity. The stronger the gravitational field, the slower time passes within it. This can be measured, for example, with very precise clocks, one of which is on Earth at sea level and the other on a high mountain. The latter runs faster, even if the effect is tiny in this case. This effect becomes very pronounced in extremely strong gravitational fields, especially, of course, in the case of a black hole. This effect is described by the general theory of relativity, which Albert Einstein developed in 1915.

Years:
Days:
Hours:
Minutes:
Seconds:

Years:
Days:
Hours:
Minutes:
Seconds:
Single time unit:

Velocity v:
Speed of light c:		m/s