# Escape velocity Calculator

## Calculates the escape velocities from the planet and from the solar system.

the planet
 Sun Mercury Venus Earth Moon Mars Itokawa (Asteroid) Ceres (Asteroid) Jupiter Saturn Uranus Neptune
Mass M
 kg
 km
 AU
 kg
Gravity G

the first cosmic velocity V1
 km/s Orbit around the planet
the second cosmic velocity V2
 km/s Escape velocity from the planet
orbital speed Vc
 km/s
orbital period Tc
 year
the third cosmic velocity V3
 km/s Escape velocity from the solar system
 The third cosmic velocities of the Sun and the moon are calculated as the escape velocities from the galaxy and the Earth respectively.　Earth's mass=5.974E24　Sun's mass=1.989E30　Galaxy's mass=2.8E41$\normal Escape\ velocity\\(1)\qquad V_1=\sqrt{\frac{GM}{r}},\hspace{40}V_2=\sqrt{\frac{2GM}{r}}=\sqrt{2}V_1\\(3)\qquad Vc=\sqrt{\frac{GMc}{R}},\hspace{35}V_3=\sqrt{\frac{2GMc}{R}}=\sqrt{2}Vc\\(5)\qquad Tc=2\pi\sqrt{\frac{R^3}{GMc}}\\$

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