# Center of mass calculator for 3 masses on a x,y plane. example 3 planets say Earth, Venus, Mars without the Sun and no motion just position?

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- Steve4PhysicsLv 71 year agoFavourite answer
m1 at position (x1, y1)

m2 at position (x2, y2)

m3 at position (x3, y3)

x coordinate of centre of mass

=(m1x1 + m2x2 + m3x3)/(m1+m2+m3)

y coordinate of centre of mass

= (m1y1 + m2y2 + m3y3)/(m1+m2+m3)

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- ZardozLv 71 year ago
Draw a line between Earth and Venus. Since Earth and Venus are almost equal in mass the center of mass in at the center of the line. Now draw a line from that point to Mars. Since Mars has about 1/20th the combined mass of Earth and Venus the center of mass will be 1/20th of the length of the line from the E-V point.

- Sussan1 year agoReport
For a quick "about" cm you're right on. A great way of thinking about the question I must state.

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