Between Mars' and Jupiter's orbits, the asteroid belt revolves around the sun. A single asteroid...
Gregory Emery
Answered
2022-01-07
Between Mars' and Jupiter's orbits, the asteroid belt revolves around the sun. A single asteroid orbits the earth every 5.0 years. What are the orbital radii and velocities of the asteroids?
Answer & Explanation
Jimmy Macias
Expert
2022-01-08Added 30 answers
Given values:
The fravitational force between the sun and the orbiting asteroid is:
The asteroid is affected by centripetal acceleration because it moves in a circular orbit
,
According to the Newtons
trisanualb6
Expert
2022-01-09Added 32 answers
Using Kepler's 3rd law which is: Solved for r: Where G is the universal gravitational constantM is the mass of the sun, T is the asteroid's period in seconds, and r is the radius of the orbit. Change 5.00 years to seconds : 5.00 years=5.00 years (365days/year)(24.0hours/day)( The radius of the orbit then is computed: