Hello, can you help me solve the second subpart of the problem? Thank you! According to Kepler's first law, a comet should have an elliptic, parabolic, or hyperbolic orbit (with gravitational attractionsfrom the planets ignored). In suitable polar coordinates, the position (r, 9) of a comet satisfies an equation of the form= ß+e(r• cos 9), where ß is a constant and e is the eccentricity of the orbit, with 0≤e < 1 for an ellipse, e = 1 fora 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 9 = 4.1 (radians).r=dr0.87 1.11 1.48 1.793.64 3.192.041.04The comet has a hyperbolic orbit.When 9 = 4.1 (radians), the comet will be at r =(Round to two decimal places as needed.)2.170.69

The position of the comet satisfies the equation where is a constant and is the eccentricity of the orbit.Some observations of of the discovered comet is given as 0.871.111.481.792.17r3.643.192.041.040.69To determine the type of orbit of the comet and to predict the position of the comet for radian.The position of the comet given by the equation .For , substitute the values in the equation for the comet.Again for , substitute the values in the equation for the comet.Solve equations (1) and (2) for .Subtract (2) from (1) and solve for .As the eccentricity is less than , so the path is an elliptical orbit.NowTo find the value of for , substitute its value in the equation .The orbit of the comet is elliptic.When , the comet will be at .