Escape Velocity

Interactive simulation โ€” adjust parameters and watch the visualization update in real time.

How it works

From distance r from the center of a spherical body, the escape speed is v_esc = โˆš(2GM/r). Launch radially outward: below v_esc the probe stays bound (ellipse); at or above v_esc the specific mechanical energy is non-negative and the trajectory can reach infinity. Circular orbit speed โˆš(GM/r) is smaller by โˆš2 โ€” compare the readouts. Planet presets scale GM and radius for a qualitative feel, not astronomical accuracy.

Key equations

E = ยฝvยฒ โˆ’ GM/r ย ยทย  escape when E โ‰ฅ 0
v_esc = โˆš(2GM/r), ย  v_circ = โˆš(GM/r)