instead of having a classic hamiltoniaan now with every celestial bbody interacting with eachother, we would take the same kinetic energy and have an avarage coulomb interaction so every celestial body would be in a gravitaniol field that depends, Hartreee like term, and then we have this another term in the non interactive hamiltoniaan an unknown functional the exchange potential energy, wich we would make a guesse for, and solve the hamiloton equations, wich is easyt in this non-=interactive systyem. Now we hope we made a good guesse or we can check with experimental data and change the term depending on it