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If I change the force law to 1/r to the 2.1,
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then it's a different story.
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Anyway, so we want to solve it but we cannot do the ellipse;
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it's too hard.
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So, we are going to do the circle.
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We're going to take the orbit to be circular,
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and we're going to apply this force law to that
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and see what we can get.
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So, let's do that.
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We can ask ourselves,
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"Can a planet have a circular orbit of radius r?"
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We go back to F = m·a.