About Escape Velocity & Celestial Launch Energy Calculator
Astrophysical escape velocity and gravitational potential calculator. Computes the theoretical minimum velocity required to break free from the gravitational pull of planets, moons, stars, and compact remnants without further propulsion. Calculates circular orbital velocity, specific kinetic energy in MJ/kg, and black hole Schwarzschild event horizon radii.
Key Capabilities & Features
- Standard escape velocity formula: v_esc = √(2GM / r)
- Surface and custom altitude calculations for Earth, Moon, Mars, Jupiter, and the Sun
- Comparison with circular orbital velocity (v_circ = v_esc / √2)
- Black hole Schwarzschild event horizon radius calculator (r_s = 2GM / c²)
How to Use Escape Velocity & Celestial Launch Energy Calculator
Choose Celestial Body
Select a planet, moon, or star to automatically load standard mass and radius constants.
Set Launch Altitude
Set 0 km for surface launch or enter orbital altitude for parking orbit escape.
Analyze Velocity & Energy
Review escape speed in km/s and mph, required kinetic energy per kilogram, and Schwarzschild radius.
Privacy & In-Browser Execution Guarantee
Gravitational and escape calculations run locally without network transfer.
Frequently Asked Questions
Why is escape velocity independent of the mass of the escaping spacecraft?
In Newtonian gravity, gravitational force is proportional to the spacecraft mass, and acceleration is force divided by mass. The mass cancels out in the energy balance equation (0.5 * m * v^2 = G * M * m / r), leaving v_esc dependent only on the central attractor mass and distance.