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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 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.

diffd2sqrt

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QIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECByxcQFpoRMBzwAAAABJRU5ErkJggg==169100,100,-2,0.1,50-100,0,0,2.5,1000,0,0,0,100000,-60,2,0,501.2187081797957153,0.11768716859915537-2.0504873914792014,0.94087130957326790.0035879762214020786,-0.00089713857131209022.1646713588822695,3.279997926516687-2.4360033094797995,-47.70953644152934-55.76392724085283,-12.496214854426395-0.3351880150172513,76.2830661534060381.00146079466215,130.58873546914882-0.0004450853211930865,0.066506333735093570.048119686224073165,0.07818513006467737-0.000004066143635264813,-0.0008075267012556393-0.09498105839990027,-0.06137125361332044460.150,100,10000,500.0776627274223230244