Starting from a parking orbit at an altitude of 500 km above the Earth, we wish to launch a probe into interstellar space. What velocity is necessary in order to have a hyperbolic excess velocity of 10 km/s after escape from the solar system? (Note: This excess velocity problem has two levels to it. With a single maneuver, you must escape from the Earth and have enough velocity left over to also escape from the Sun.) GMsun = 1.3271 x 10^11 km^3/s^2 and the mean distance between the Earth and the Sun is 1.496 x 10^8 km.