frankuitaalst

In an article "New Periodic Orbits for the nBody Problem" by Prof Cristopher Moore I found the initial coordinates for a 3 body choreography called the CrissCross . After scaling the conditions to real world dimensions of a solar system this may be an initial set : Mass : 5.9736e+24 "Rx Ry Rz Vx Vy Vz of planets" "E1", 1.61385E+10,0,0,0,3.1802e+01,0 "E2", 1.06425E+09,0,0,0,2.00810e+02,0 "E3", 1.50744E+10,0,0,0,1.69008e+02,0 This means : 3 Earth planets about 0.2 AU distance.. Note that all planets start at the Xaxes and have initial vertical velocities . Here's the animated gif . The period is ca. 18 years . The system seems to be stable , according to the article. It's amazing that one planet almost has a circular orbit , while the others have a very weird orbit . If one intends to scale the system with other distances or mass this can be done as following : Multiply the distances fi. with factor a . Multiply the masses with factor b. The velocities then should be multiplied by factor sqrt (b/a).
