astronomy

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if a comet is 125 years from sun and has a perihelion distance of 1. AU..What is the aphelion distance?
I formulated it this way, is this right?

125years^2/1.AU^3= 15,625

  • astronomy -

    my book tells me the answer is 49 AU. I am just not getting the calculation. Please help

  • astronomy -

    I explained this yesterday. The distance that gets used in the Kepler equation is the semimajor axis, a, NOT the perihelion distance. Therefore
    125^2/a^3 = 1
    a^3 = 125^2 = 15625
    a = cube root of 15625 = 25 AU

    (Aphelion + Perihelion)/2 = a
    (Aphelion + Perihelion) = 50
    Aphelion = 50 - 1 = 49 AU

  • astronomy -

    yes this is explained much better thank you for your time

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