For a moon orbiting its planet, 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)

0.65
0.65

0.57
0.57

0.27
0.27

0.48

1 answer

The moon's orbital eccentricity can be calculated using the formula:

e = (ra - rp) / (ra + rp)

Given that rp = 0.27ra, we can substitute the values into the formula:

e = (ra - 0.27ra) / (ra + 0.27ra)

Simplifying the equation:

e = (0.73ra) / (1.27ra)

e = 0.73/1.27

Therefore, the moon's orbital eccentricity is approximately 0.57.