What was the orbital period of the probe around the comet, in earth days?

In 2014, a space probe approached the rocky core of the comet Churyumov-Gerasimenko, which is only a few km in diameter. The probe then entered the orbit around the comet at a distance of 30 km. The comet was found to have a mass of 1.0×1013kg.

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  • 1 month ago

    1.0×1013kg ?? what does this mean?

    • Zardoz
      Lv 7
      1 month agoReport

      It means 1.0x10¹³ kg, or, in my notation, 1.0[13] kg

  • Argent
    Lv 7
    1 month ago

    Use Kepler's third law: T² = kR³, where T is the orbital period; R is the orbital radius (measured from the center of the orbited body); and k is a constant that depends on the mass of the orbited body. k = 4π²/(GM), where G is the universal gravitational constant and M is the mass of the orbited body.

    Here, M = 1.0 × 10¹³ kg; R = 30 km = 3.0 × 10⁴ m.

    T = √(kR³). Plug in all the necessary numbers, then divide the result by 86 400 to express it in (solar) Earth days.

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