in the table below (the time of one orbit rotation is approximately 90 minutes). The goal of this problem is to determine the semi-axes a and b of the elliptical orbit, and its eccentricity e=\sqrt{1-\frac{b^{2}}{a^{2}}} NOTE: The equation of an ellipse is \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 1) The problem can be formulated as finding the least squares solution for a system Aââ = b. What are A and b (give symbolic forms)? HINT: The vector is \hat{\boldsymbol{x}}=\left[\begin{array}{l} 1 / a^{2} \\ 1 / b^{2} \end{array}\right] Solve the least squares problem using python. You are allowed to use built-in solvers for linear equations. Built-in data fitting functions are NOT allowed. Give the values for a, b, and e. On the same plot, plot the original data as points alongside a curve representing the least squares model of the ellipse.
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