1. The problem statement, all variables and given/known data 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. Relevant equations Included in 1. 3. The attempt at a solution Where do I begin?