Physics

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A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 1.70 104 m/s, and the radius of the orbit is 5.30 106 m. A second satellite also has a circular orbit around this same planet. The orbit of this second satellite has a radius of 8.70 106 m. What is the orbital speed of the second satellite?

  • Physics -

    A = v^2/r
    A = (1.70*10^4)^2/(5.30*10^6)
    A = 54.53
    A = G(m/r^2)
    m = A*r^2/G
    G = 6.67*10^-11
    m = 54.53*(5.30*10^6)^2/6.67*10^-11
    m = 2.30*10^25
    ------------------------------------
    A = G(m/r^2)
    A = 6.67*10^-11(2.30*10^25/(8.70*10^6)^2)
    A = 20.27
    A = v^2/r
    (A*r)^(1/2) = v
    v = 13279.6 m/s^2

  • Physics -

    V = sqrt[µ/r]
    µ = V^2(r) = (1.7x10^4)^2(5.3x10^6) = 1.5317x10^15

    V2 = sqrt[1.5317^15/8.7x10^6] = 1.3268x10^4m/s

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