Escape Velocity into Space
Calculate the escape velocity from a planet and the escape velocity from the solar system.
| First Escape Velocity V1 | km/sPlanetary Orbit |
| Second Escape Velocity V2 | km/sEscape from a Planet |
| Orbital velocity Vc | km/s |
| Orbital period Tc | Year |
| Third Escape Velocity V3 | km/sOrbital Escape |
For the “Moon,” the relationship between the planet and the Sun is replaced with that between the Moon and Earth.
For the “Sun,” the relationship between the Sun and the Milky Way is used (Reference)
Earth’s mass = 5.974E24
Sun’s mass = 1.989E30
Milky Way mass = 2.8E41
For the “Sun,” the relationship between the Sun and the Milky Way is used (Reference)
Earth’s mass = 5.974E24
Sun’s mass = 1.989E30
Milky Way mass = 2.8E41
| \(\normalsize Escape\ velocity\\ (1) V_1=\sqrt{\frac{GM}{r}},\hspace{40px}V_2=\sqrt{\frac{2GM}{r}}=\sqrt{2}V_1\\ (3) Vc=\sqrt{\frac{GMc}{R}},\hspace{35px}V_3=\sqrt{\frac{2GMc}{R}}=\sqrt{2}Vc\\ (5) Tc=2\pi\sqrt{\frac{R^3}{GMc}}\\ \) |
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