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,ϑ) of a comet satisfies an equation of the form r=β+e(r⋅cosϑ) where β is a constant and e is the eccentricity of the orbit, with 0≤e< 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 ϑ=4.6 (radians).3 ϑ.881.101.421.772.14 r3.002.301.651.251.01