Question

What is the Specific Mechanical Energy of the moon's orbit about the Earth? (Please provide a...

What is the Specific Mechanical Energy of the moon's orbit about the Earth? (Please provide a numerical answer to three decimal places and in units of km2/s2)

Here is some information that you might, or might not, need to solve this problem:

  1. The mass of the moon is 7.348 × 1022 kg
  2. The mass of the Earth is 5.972 × 1024 kg
  3. The mass of the Sun is 1.989 × 1030 kg
  4. The semi-major axis of the moon in its orbit about the Earth is 3.844 x 105 km
  5. The semi-major axis of the Earth in its orbit about the Sun is 1.496 x 108 km
  6. The Sun’s gravitational parameter is 1.327 x 1011 km3/s2
  7. The Earth’s gravitational parameter is 3.986 x 105 km3/s2
  8. The moon’s gravitational parameter is 4.905 × 103 km3/s2

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