Escape Velocity Simulation⚡ 60 FPS❌ Will Fall Back
🌟 THE CONCEPT
Escape velocity is the minimum speed needed to break free from a planet's gravity without further propulsion. It depends only on the planet's mass and radius. At escape velocity, total mechanical energy = 0.
📐 Key Formulae
v_esc = √(2GM/r)
KE = ½mv², PE = –GMm/r
⚡ LIVE CALCULATION
v = 8.00 km/s, r = 1.00× R⊕
M = 1.00× M⊕
v_esc = √(2 × G × M / r)
= √(2 × 6.674e-11 × 5.97e+24 / 6.37e+6)
= 11.186 km/s ←
Ratio = 71.5% ❌ Falls back
📏 CONSTANTS & CONTEXT
Gravitational Constant (G)
6.6743 × 10⁻¹¹ N⋅m²/kg²
Mass of Earth (M⊕)
5.972 × 10²⁴ kg
Radius of Earth (R⊕)
6,371 km
At exactly the escape velocity, the object will continue to slow down indefinitely but will never stop entirely, coasting out to an infinite distance.