Hi

Having some problems with setting this one up.

According to Keplerīs first law, a comet should have an elliptic, parabolic or hyperbolic orbit(with gravitational attractions from planets ignored). In suitable polar coordinates, the position of a comet satisfies an equation of the form , where is a constant and "e" is the eccentricity of the orbit, with for an ellipse, e=1 for a parabola and e > 1 for a hyperbola.

Given the data below, determine the type of orbit, and predict where the comet will be when , radians.

Solving for r gives,

How would I set a design matrix up?