As a spacecraft approaches the planet Jupiter, it releases a probe which is to enter the planet's

Question:

As a spacecraft approaches the planet Jupiter, it releases a probe which is to enter the planet's atmosphere at Point B at an altitude of 280 mi above the surface of the planet. The trajectory of the probe is a hyperbola of eccentricity ( = 1.031. Knowing that the radius and the mass of Jupiter are 44423 mi and respectively, and that the velocity vB of the probe at B forms an angle of 82.9Â° with the direction of OA, determine

(a) The angle AOB,

(b) The speed of the probe at B.