Question: Pick a nonlinear solver to find out the planet coordinates (that is, x and y) for the following setups: (a) (15 points) a = 1,

Pick a nonlinear solver to find out the planet coordinates (that is, x and y) for the following setups: (a) (15 points) a = 1, e = 0.1, n(t ) = 1, (b) (15 points) a = 1, e = 0.9, n(t ) = 1. Note you have to write your own code for the nonlinear solver instead of using existing functions. (c) (15 points) In addition, prove that for parameters in (a) there is a unique solution E in [0, 2]

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