A moon's orbital focal point sits 50,000 km from the center of its elliptical orbit, and the orbit's eccentricity is 0.25. What is the length of the semi-major axis?
A12,500 km
B100,000 km
C200,000 km
D400,000 km
Answer & Solution
Correct answer: C. 200,000 km
1. Eccentricity is e = f / a, so a = f / e.
2. a = 50,000 km / 0.25.
3. a = 200,000 km.
_Source: OpenStax Physics (CC BY 4.0), Ch 7 "Newton's Law of Gravitation", section 7.1 Kepler's Laws of Planetary Motion_
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