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The Relativistic
space vehicle calculator calculates
times needed to reach distant points with a space craft that can accelerate
continuously. No warp drive here. This vehicle can approach but never exceed the speed
of light in vacuum, C.
The
maximum velocity, V, of the star ship is reached at the midpoint
of the mission. The calculator shows this as the ratio of maximum
velocity to the speed of light.
Constants to consider when using the calculator:
These constants never change. Do you know why?
Physical Constants Calculator
AnyCalculator.com
Earth's gravity = 9.80665 [meters/sec/sec]
astronomical unit = 1.496 x 1011 [meters] {average distance from Sun to Earth}
light year = 9.460 x 1015 [meters] {distance light travels in one year}
Select the desired distance, acceleration,
and time units. Next, enter acceleration
and distance quantities that are more than 0. Click the
Calculate button. Invalid entries output windows
will display - NaN
The relativistic effect known as time
dilation may allow long journeys in human lifetimes. Time moves
more slowly in a moving frame than a stationary frame. For the spaceship not only time but distance will dilate A clock
in the moving star ship will run more slowly than a clock on
Earth according to the equation:
δT Earth = γ·δT Spacecraft
where,
__________
γ = 1 / √ 1 - v2/c2
v - velocity of the spacecraft
c - speed of light in vacuum = 299,792,458 [meters/second]
A clock in a moving frame, spacecraft, will be seen to be running slow, or "dilated" according to the Lorentz Transformation.
As v gets closer to c, the term γ
approaches infinity. The effect of time dilation is negligible
at small velocities but increases asymptotically as the velocity
of the star ship approaches the speed of light.
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