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**1. Homework Statement**

A planet around a star has an orbit that is not exactly an ellipse. In addition to the dominant Fo [tex]\alpha[/tex] r^-2 term due to gravity from the central star, the planet seems to be responding to a slight additional force which has the form F1 [tex]\alpha[/tex] r^-[tex]\alpha[/tex] where [tex]\alpha[/tex] is some constant.

**2. Homework Equations**

Included in 1.

**3. The Attempt at a Solution**

Where do I begin?