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

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  • 7 months ago
    Favourite 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.

  • 7 months ago

    56 Minutes minus 12 seconds

    Have people forgot about Time Dilation ??

  • Anonymous
    7 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.

  • Anonymous
    7 months ago

    a few years, or decades

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  • Anonymous
    7 months ago

    301 minutes.

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

  • .
    Lv 7
    7 months ago

    It's 2.7819 billion miles.  So a bit over five hours.

  • Fuhr
    Lv 6
    7 months ago

    Me fail English?  That unpossible!

    Source(s): Ralph
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