Question
A moon is orbiting the planet Jupiter, rp is the shortest distance between the moon and its planet and ra is the longest distance between the moon and its planet. What is a moon's orbital eccentricity if rp is equal to 0.27ra? (1 point) Responses 0.48 0.48 0.27 0.27 0.57 0.57 0.65
Answers
GPT 3.5
The eccentricity of an orbit can be calculated using the formula:
eccentricity = (ra - rp) / (ra + rp)
Given that rp = 0.27ra, we can substitute this value in the formula:
eccentricity = (ra - 0.27ra) / (ra + 0.27ra)
eccentricity = (0.73ra) / (1.27ra)
eccentricity ≈ 0.57
Therefore, the correct answer is 0.57.
eccentricity = (ra - rp) / (ra + rp)
Given that rp = 0.27ra, we can substitute this value in the formula:
eccentricity = (ra - 0.27ra) / (ra + 0.27ra)
eccentricity = (0.73ra) / (1.27ra)
eccentricity ≈ 0.57
Therefore, the correct answer is 0.57.