# 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 radius r km Orbit radius R AU kg Gravity G the first cosmic velocity V1 km/sOrbit around the planet the second cosmic velocity V2 km/sEscape velocity from the planet orbital speed Vc km/s orbital period Tc year the third cosmic velocity V3 km/sEscape 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$\normal Escape\ velocity\\(1)\qquad V_1=\sqrt{\frac{GM}{r}},\hspace{40}V_2=\sqrt{\frac{2GM}{r}}=\sqrt{2}V_1\\(3)\qquad Vc=\sqrt{\frac{GMc}{R}},\hspace{35}V_3=\sqrt{\frac{2GMc}{R}}=\sqrt{2}Vc\\(5)\qquad Tc=2\pi\sqrt{\frac{R^3}{GMc}}\\$
Escape velocity
 [1-5] /5 Disp-Num5103050100200
[1]  2017/11/07 04:49   Male / 50 years old level / A teacher / A researcher / Useful /
Purpose of use
Trying to compute solar escape velocity from Pluto''s orbit (NOT from the surface of Pluto, or from orbit AROUND Pluto.)
Comment/Request
I wish the variables M, R and r were explained or shown in the diagram. What do they refer to? In my question (trying to compute solar escape velocity from Pluto''s orbital altitude, is M the mass of the Sun? Is R Pluto''s orbital distance from the Sun? Why are the units for R and r different? Etc.
[2]  2017/08/30 14:23   Male / 50 years old level / Others / Useful /
Purpose of use
To determine the range of velocities of impact debris from a meteor strike on the Moon that would wind up in orbit around Earth (that is, between Lunar escape velocity and the minimum velocity that would allow correctly aimed debris to leave Earth''s vicinity). Also later to get escape from Saturn parameters from Saturn''s moon Titan.
[3]  2016/11/03 21:05   Male / 20 years old level / An office worker / A public employee / Very /
Purpose of use
To illustrate that a proposed Aldrin Cycler travelling at 0.1c would not be feasible: such a spacecraft would pass Mars just once, before travelling out deep into the void beyond the solar system, any passengers doomed to starve and freeze to death if the oxygen didn't run out first.
[4]  2016/02/11 02:12   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
To calculate escape velocities of various planets
[5]  2014/07/14 20:03   Male / 60 years old level or over / High-school/ University/ Grad student / Very /
Purpose of use
To prove the reason, why the size (mass) of the Lunar Module could be so small in comparaison with that of the Saturn V, while the aim of both was around the same, and the mass proportion was less. (One of the arguments of Apollo hoax theory.)

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