Captain Kate is on her way to intercept the suspicious vessel. At a time T1, her ship is at 710,000 km from the center of the planet' and has a relative velocity to the planet of 13.8 kas. At a later time T2, her ship has escaped from the planet's gravitational pull and is now in orbit around the star. at a distance from the star of 1.68x103km. At time T2, her velocity relative to the planet is 12.3 kmfs, and is in the same direction as the planet's orbit around the star. Given the following information, nd her ship's position and velocity in canonical units at times T1 and T2 {i.e., relative to the planet at time T1 and relative to the star at time T2). Radius of the planet = 75000 km Mass of the planet = 9.4x1026kg Mass of the star = 6.5x1030kg Planet's orbital radius from the star = 1.5x10lkm velocity of planet relative to star = 170 km/s