According to Kepler's first law, a comet should have an elliptic, parabolic, or hyperbolic orbit (with gravitational attractions from the planets ignored). In suitable polar coordinates, the position...

Extracted text: According to Kepler's first law, a comet should have an elliptic, parabolic, or hyperbolic orbit (with gravitational attractions from the planets ignored). In suitable polar coordinates, the position (r, 9) of a comet satisfies an equation of the form r= B+ e(r• cos 8), where B is a constant ande is the eccentricity of the orbit, with 0se<1 for="" an="" ellipse,="" e="1" for="" a="" parabola,="" and="" e="">1 for a hyperbola. Suppose observations of a newly discovered comet provide the data below. Determine the type of orbit, and predict where the comet will be when 8 = 4.2 (radians). 0.85 1.14 1.42 1.74 2.17 3.64 3.02 1.98 1.05 0.58 ..... The comet has V orbit. When 9 = 4.2 (radians), the comet will be at r= (Round to two decimal places as needed.)