Abstract

This paper presents the mathematical solution to a new Fourth Law of Panetary Motion that eluded Kepler in 1595.  Each of three sets of definitive geometric solutions corroborates the other two sets in substantiation of relative motions and precise interactions of celestial energy masses around a central star, our Sun, during the dynamic layout of our solar system some 5 billion years ago.  This solution clearly reveals the full significance of the enigmatic Bode's Law by explaining the unorthodox spacing of planetary orbits.  Meeting precise criteria of relative masses and relative velocities, both as functions of a specific distance apart, the two original energy masses interacted via gravity and momentum to place the resulting fragmentary masses into precise geometrically-spaced orbits in full compliance with the Four Laws of Planetary Motion (FL).  The energy masses, properly spaced and obeying the laws of physics, chemistry and thermodynamics via means of internal nucleosynthesis (IN), initiated their ongoing rates of 5-stage planetary evolution (E) as functions of mass/time.  Much corroborating evidence reveals how and why every planet is a self-sustaining entity creating its own matter and controlling its own rate of evolution.  The resulting FLINE model opens clear pathways to definitive understanding of the past, present and future history of our SS (and extra-solar systems) and of the evoluation of planetary spheres.