Simulates gravitational capture into orbit around a central mass. The ship is a physics body under inverse-square gravity, so it can miss, slingshot, capture, or crash depending on velocity. A predicted trajectory line shows where the ship will go if you stop thrusting now. Optional orbital decay is applied as a subtle “drag” term so that without corrective thrust, orbits slowly shrink over time—useful for gameplay pacing and readability.

What this proves