Brachistochrone Trajectories

• A "turn and burn" maneuver with three distinct phases:

1. Acceleration Phase (Blue): Ship accelerates along initial direction with constant thrust
2. Flip/Coast Phase (Yellow): Ship maintains velocity while performing a 180° rotation to prepare for deceleration
3. Deceleration Phase (Red): Ship uses its engines to slow down and stop precisely at the destination

• The trajectory calculation uses real physics principles:

• Constant acceleration based on the ship's thrust-to-mass ratio

• Conservation of momentum during the coasting phase

• Natural orbital mechanics considerations for gravity interactions

"Here come the G's..."