# At 556 million mph, how long would it take to get to Neptune to the sun?

### 7 Answers

- SpacemanLv 77 months agoFavourite answer
d(max) = Neptune's aphelion (farthest distance from the sun) = 2,819,080,000 miles

v = velocity of spaceship = 556,000,000 miles per hour

v = d(max) / T

vT = d(max)

T = d(max) / v

T = time duration of the trip as measured on Earth = 5.07028777 hours

However, since the velocity of the proposed spaceship is a signicant fraction of the speed of light,

the special relativity equation of time dilation becomes relevant.

c = speed of light = 186,262 miles per second x 3,600 seconds per hour = 670,543,200 miles per hour

β = v/c = spaceship velocity as a fraction of the speed of light (c) = 0.829178493 c

T0 = time duration of the trip as measured on the spaceship = to be determined

γ = [gamma] = Lorentz factor = 1 / √(1 - β²) = 1 / √(1 - 0.829c / c) = 1.788960215

T = T0 / √(1 - β²) = T0·γ

T = T0·γ

T0 = T / γ = 5.0703 hrs / 1.78896 = 2.834209352 hours

So, the time that the trip takes would be shorter for the astronaut.

Source(s): https://www.space.com/41-neptune-the-other-blue-pl... https://www.space.com/15830-light-speed.html http://hyperphysics.phy-astr.gsu.edu/hbase/Relativ... - Anonymous7 months ago
It would be much quicker to travel faster than the speed of light , yes IT CAN BE DONE, if those dum dum scientists would just work harder at their calculations.

- Anonymous7 months ago
a few years, or decades

- What do you think of the answers? You can sign in to give your opinion on the answer.
- Anonymous7 months ago
301 minutes.

But just getting to 80% of the speed of light would typically take quite a bit longer.