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for a moon orbiting its planet, rp is the shortest distance between the moon and its planet andra is the longest distance between the moon and its planet. what is a moon's orbital eccentricity if rp is equal to 0.27ra?

0.48

0.57

0.65

0.27
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The eccentricity of path of moon orbiting around its planet is 0.9628

Step by step explanation:

Given that a moon is orbiting around its planet

is the shortest distance between the moon and its planet

is the Longest distance between the moon and its planet

Relation between and is

We know that path of moon orbiting around its planet is ellipse.

Where, 2 is minor axis of ellipse and 2 is major axis of ellipse.

Also eccentricity of ellipse is given by

e=

for >

Now, using given relation.

e=

e=

e=

e=0.9628

Thus

The eccentricity of path of moon orbiting around its planet is 0.9628

step-by-step explanation:

b and c