Post a New Question

Physics

posted by .

From your intergalactic survey base, you observe a moon in a circular orbit about a faraway planet. You know the distance to the planet/moon system, and you determine the maximum angle of separation between the two and the period of the moon's orbit. Assuming that the moon is much less massive than the planet, explain how you can determine the mass of the planet.

  • Physics -

    G•M•m/r² = m•v²/r
    v =2•π•r/T
    G•M•m•/r²= 4• π²•m•r/T²
    M = 4•π²•r³/G•T²
    Since r and R are very large r = R•θ,
    where R is the distance to the system and the θ is an angle separation

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Calculate the work done by planet X on its moon. Planet X applies a force of 5.6 x 10^10 N on its moon and the moon is 4.0 x 10^8 km away from the planet and it continues to circle the planet in a circular orbit of circumference of …
  2. Physics 1111: Orbitals and Distance

    A planet has two satellite moons. Moon X has an orbital period of 2.27 days. Moon Y has an orbital period of about 3.40 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from …
  3. physics

    A planet has two satellite moons. Moon X has an orbital period of 2.13 days. Moon Y has an orbital period of about 3.53 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from …
  4. Physicsss

    A planet has two satellite moons. Moon X has an orbital period of 2.13 days. Moon Y has an orbital period of about 3.53 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from …
  5. Physics

    A planet has two satellite moons. Moon X has an orbital period of 2.13 days. Moon Y has an orbital period of about 3.53 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from …
  6. Physics I am lost please help

    A planet has two satellite moons. Moon X has an orbital period of 2.13 days. Moon Y has an orbital period of about 3.53 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from …
  7. Physics

    A planet has two satellite moons. Moon X has an orbital period of 2.13 days. Moon Y has an orbital period of about 3.53 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from …
  8. Physics

    A planet has two satellite moons. Moon X has an orbital period of 2.13 days. Moon Y has an orbital period of about 3.53 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from …
  9. Physics

    Astronomers can calculate the mass of a planet by using the orbital parameters of one of its moons. Consider a hypothetical planet, which has a hypothetical moon that orbits the planet in a roughly circular orbit with a radius of 3.95*10^8 …
  10. Physics Classical Mechanics

    A planet has a single moon that is solely influenced by the gravitational interaction between the two bodies. We will assume that the moon is moving in a circular orbit around the planet and that the moon travels with a constant speed …

More Similar Questions

Post a New Question