A man made satellite orbits the earth in an elliptical path whose center is at the center of the earth. If the altitude of the satellite ranges from 1000 to 2000 miles, find the equation of its path. The radius of the earth is approximately 4000 miles.

A \( \frac{x^{2}}{\left ( 2000 \right )^{2}} + \frac{y^{2}}{\left ( 1000 \right )^{2}} = 1 \)

B \( \frac{x^{2}}{\left ( 4000 \right )^{2}} + \frac{y^{2}}{\left ( 3000 \right )^{2}} = 1 \)

C \( \frac{x^{2}}{0.9 × 10^{7}} + \frac{y^{2}}{0.4 × 10^{7}} = 1 \)

D \( \frac{x^{2}}{3.6 × 10^{7}} + \frac{y^{2}}{2 . 5 × 10^{7}} = 1 \)

Correct Answer: Option D