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E - e*sin[E] = M
create a function called kepler which solves the kepler equation for E given e and M (your function should accept M and e as inputs, and return E). The actual solution should be performed using the MATLAB built in function fzero() to solve the following form of Kepler's equation:
0 = E - e*sin[E] – M
We use this form because fzero solves for roots of the input function. Recall that fzero() is a function function, and that it that it expects that the function argument which you pass it will only accept one argument. This means that fzero(f(x)) is acceptable, but fzero(f(x,y)) is not. As such you might have to use the shared workspace property of nested functions to your advantage to complete this assignment.
Please plot E vs. M for e of values [0 0.25 0.5 0.75 1]. Please include all 5 curves in 1 figure axis. Please label axis and include a legend. E should range from 0 to 2*Pi.