posted by .

According to Newton's version of Kepler's third law, how would the ratio T^2/r^3 change if the mass of the Sun were doubled?

  • physics -

    T^2 = (2pi)^2 [ r^3/(G m) ]

    T^2/r^3 = k /m where k is constant (2pi)^2/G

    if you double m then T^2/r^3 is half

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Astrophysics

    I'm having trouble understanding the formulas for determining a planet's distance and mass. A planet's distance is related to the period of revolution and the mass of the central star (e.g, the sun). The relationship is called Kepler's …
  2. Physics

    How do you calculate. How many years would it take the planet to orbit the sun. All I have is, that the planet is 97 times farther from sun than earth or 97 Astronomical units Use Kepler's Third Law. If you have never heard of it, …
  3. Physics

    Given: G = 6.67259 × 10−11 Nm2/kg2 Mimas, a moon of Saturn, has an orbital radius of 1.8 × 108 m and an orbital period of about 22.6 h. Use Newton’s version of Kepler’s third law and these data to find the ma
  4. Earth Science

    According to Kepler's law of harmonies, which planet takes the longest to orbit the Sun?
  5. Physics - Newton's Law of universal gravitation

    Describe how Newton used each of the following phenomena to support the law of universal gravitation a) the orbit of the moon b) kepler's third law
  6. college algebra

    Kepler’s third law. According to Kepler’s third law of planetary motion, the ratio t^2/r^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units …
  7. physics

    1.What if Newton’s Third Law did not exist?
  8. physics

    Newton was holding an apple of mass 120 g and thinking about the gravitational forces exerted on the apple by himself and by the Sun. Calculate the magnitude of the gravitational force acting on the apple due to Newton, the Sun, and …
  9. Physics

    A particular asteroid has a circular orbit about the Sun with a radius of 450 million miles. How long does it take to go around the sun?
  10. Astronomy

    Newton’s version of Kepler’s third law is P^2 = 4pi^2/(G(M_1+M_2)) a^3. Since the square of the period P varies inversely with the sum of the masses (M_1 + M_2), the period itself depends on the inverse square root of the object …

More Similar Questions