- #1

- 35

- 0

orbit it is 250×106 km from the star and is moving at 35km/s. Take the universal gravitational

constant to be 6.67 × 10−11 m2/s2 · kg and calculate the semimajor axis of the planet’s orbit.

The result is:

A. 79 × 106 km

B. 160 × 106 km

C. 240 × 106 km

D. 320 × 106 km

E. 590 × 106 km

I used the formula for the orbital speed v^2 = GM [2/r - 1/a].

Solving for a, I got 1/a=2/r-v^2/GM. Plugging in the given data I got 293x10^6 km. None of the options is relevant with mine. Can someone show me what I did wrong?