– Similar to a Born-Oppenheimer approximation I will have the position of the Sun fixed.
– My hamiltonian is similar to the Schrodinger equation, because I have three terms the kinetic energy of the planets, the interaction with the sun and the interaction between planets.
– Using the Kohn-Sham method I can rewrite the hamiltonian as a term for the kinetic energy, the gravitational interaction with the sun, the average interaction between planets and the exchange graviational potential