Enroute to your rendezvous asteroid, Mission Design has identified an opportunity for a close flyby of a different asteroid. The flyby speed will be 10 km/s and the desire is to continuously point the high-resolution camera, which is aligned with the +Y_sc axis of the spacecraft, at the asteroid starting 1 hour before closest approach and ending 1 hour after closest approach. The angular acceleration limit is 0.000333 rad/s^2 about the x-axis. Given the angular acceleration limit about the selected spacecraft axis, what closest approach distance (km) would you select for the 10 km/s flyby speed to be sure the angular acceleration limit is not exceeded? Prove the answer is 510 km

Enroute to your rendezvous asteroid, Mission Design has identified an opportunity for a close flyby of a different asteroid. The flyby speed will be 10 km/s and the desire is to continuously point the high-resolution camera, which is aligned with the +Y_sc axis of the spacecraft, at the asteroid starting 1 hour before closest approach and ending 1 hour after closest approach. The angular acceleration limit is 0.000333 rad/s^2 about the x-axis. Given the angular acceleration limit about the selected spacecraft axis, what closest approach distance (km) would you select for the 10 km/s flyby speed to be sure the angular acceleration limit is not exceeded? Prove the answer is 510 km