A gravity simulation with arbitrary number of mass with different weights. Set the initial condition to change the number of bodies and their initial conditions. black arrows show the velocity vector and blue ones show the acceleration.data:image/png;base64,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data:image/png;base64,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,100,-2,0.1,50-100,0,0,2.5,1000,0,0,0,100000,-60,2,0,500,0,0,0-1.2588219788267627,1.10244197332354351.463669222785934,2.23897217055256050.004439431747877968,0.009563572518000827-2.5564028163206984,-2.3931008180288433119.01064174217663,64.81323589924769-92.15924042096437,35.3810363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