Based on the demonstration of the Titius–Bode law for the solar system, existence and the array of the planetary system with counter rotation direction against the fixed star analyzed theoretically. The Titius-Bode law discovered 250 years ago (in 1766), is considered to be a mathematical coincidence rather than an "exact" law, because it has not yet been physically proved. Planetary orbits are often computed by Newtonian mechanics with the kinetic energy and the universal gravitation energy. However, applying the principle of energy-minimum to the Newtonian mechanics leads to the result that the stable orbital radius is only one value, which is totally incompatible with actual phenomena. This discrepancy must result from the shortage of elements which rule over the planetary orbits. Other elements to rule over them are the electric charge energy and the rotation energy, both of which are guided by the Kerr-Newman solution (discovered in 1965) of the general relativity theory (discovered in 1915). Here, I mathematically demonstrated the Titius-Bode law and also the array of the planetary system with counter direction against the fixed star.