Moon and Earth Simulation

Speed of time (1 second is 1 second):

Radius r (384400 km):

Force between earth and moon:

F_{MoonEarth} = G \frac{{Mass}_{earth}{Mass}_{moon}}{r^{2}} = {6.67408 * 10}^{-11} \frac{{5.972 * 10}^{24}kg{7.348 * 10}^{22}kg}{{(^{}m)}^{2}} = {0.002696m/s}^{20} N

Acceleration of the moon due to earth's gravitational force:

a_{moon} = \frac{F_{MoonEarth}}{{Mass}_{moon}} = \frac{^{}N}{{7.348 * 10}^{22}kg} =^{2}

Required initial velocity for orbit:

{velocity}_{moon} = \sqrt{a r} = \sqrt{{0.002696m/s}^{2} *^{} m} =

Actual velocity (factor 1=Perfectly circular orbit)

factor =

{velocity}_{moon} = {velocity}_{moon} * factor = 2 m/s