Name: Math 2414 - Test 3 - Take Home Part Due Wednesday 11/17 Provide sufficient details for credit and only work on the front side of your paper 1. A planet orbit has an elliptical path with its sun at the focus as shown. The orbit has an eccentricity of 0.25 and a semi-major axis length a = 39.5 AU a. Find the polar equation for this orbit. b. Use the equation to determine the farthest a distance from the sun (known as the aphelion) and the closest distance from the sun (known as the perihelion) aphelion perihelion