OrbElmtsDetermination.mws 1. Initialization a utility procedure to convert a vector equation into component equations 2. Two-Body Motion Definitions and Derivations 2.1. angular momentum 2.2. radius 2.3. velocity radial velocity — elliptical motion radial velocity — hyperbolic motion velocity vector 2.4. angular momentum revisited 2.5. vis viva integral elliptical motion hyperbolic motion 2.6. Laplace vector 3. Solve for the Orbital Elements 3.1. summary of useful equations 3.2. eccentricity An attempt at simplification 3.3. semimajor axis 3.4. inclination 3.5. ascending node 3.6. true anomaly circular motion elliptical motion sin(theta); cos(theta); hyperbolic motion sin(theta); cos(theta); 3.7. argument of pericenter 3.8. Summary