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## Homework Statement

The orbit of an asteroid extends from the Earth’s orbit to Jupiter’s orbit, just touching both. Assume that the planetary orbits are circular and co-planar and that Newton’s constant G, the mass of the sun M

_{s}, the mass of the asteroid m

_{a}and the radii of the Earth’s and Jupiter’s orbit respectively, (L

_{E}, L

_{J}), are known.

1. Find the orbital period of the asteroid.

Express all of your answers in terms of the given quantities of the problem: G, M

_{s}, m

_{a},L

_{E}and L

_{J}

## Homework Equations

T = 2π (a

^{3}/μ)

^{1/2}where T is the period, a is the semi-major axis of the orbit and μ is the gravitational mass of the sun (μ = GM

_{s})

## The Attempt at a Solution

I'm actually really stuck on this one though it seems simple. It seems like the answer is T = 2π (L

_{J}

^{3}/μ)

^{1/2}but I am almost certain that is wrong. It just seems to easy to me.

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