In 1996, the Solar and Heliospheric Observatory (SOHO) was "parked" in an orbit slightly inside the earth's orbit. The satellite's period in this orbit is exactly one year, so it remains fixed relative to the earth. At this point, called a Lagrange point, the force from the sun and the force from the earth combine to give the satellite the same period of revolution as the earth. Calculate SOHO's distance from the earth. (Hint: You will need the binomial approximation. SOHO's distance from earth is very small compared to the earth's distance from the sun.)