mean anomaly (M) eccentricity (e) eccentric anomaly (E) E - e*sin[E] = M Given M

Question

mean anomaly (M)

eccentricity (e)

eccentric anomaly (E)

E - e*sin[E] = M

Given M and e, solving for E can prove quite difficult. In fact this problem is considered transcendental, meaning E can not be represented as a finite set of algebraic terms of e and M. As such this problem is almost always solved

using some numerical method.

For this assignment I would like you 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]

Explanation / Answer

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