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Escape velocity,Sun and Earth surface

In this example we calculate the acceleration of gravity and the escape velocity at the Sun and Earth surface.

clc;clear all;
G = 6.67384E-11;                %Gravitational constant,[m^3kg-1s-2]

Sun

Ms = 1.98855e30;                %Solar mass [kg]
Rs = 6.955e8;                   %Solar radius [m]
V_esc = (2*G*Ms/Rs)^0.5/1000;   %Escape velocity [km/s]
g = G*Ms/Rs^2;                  %Acceleration of gravity[m*s-2]
fprintf('Acceleration of gravity[m*s-2] %4.2f \n',g);
fprintf('Escape velocity [km/s] %4.2f \n\n',V_esc);
Acceleration of gravity[m*s-2] 274.36 
Escape velocity [km/s] 617.76

Earth

Me = 5.98e24;                   %Earth mass [kg]
Re = 6378000;                   %Earth radius [m]
V_esc = (2*G*Me/Re)^0.5/1000;   %[km/s]
g = G*Me/Re^2;                  %Acceleration of gravity[m*s-2]
fprintf('Acceleration of gravity[m*s-2] %4.2f \n',g);
fprintf('Escape velocity [km/s] %4.2f \n',V_esc);%% Earth
Acceleration of gravity[m*s-2] 9.81 
Escape velocity [km/s] 11.19

 

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