Under construction…beep beep beep…

6 Standard Orbital Elements@


Standard Orbital Elements: Express the particle’s motion in terms of the standard set of orbital elements, \((a, e, i, \omega, \Omega, M)\) for closed trajectories.


See above.

6.1 Shape \((a,e)\)@

It shouldn’t come as a surprise that the trajectory we’ve found in the orbital plane

6.2 Orientation \((i,\omega,\Omega)\)@

Rotation matrix stuff to get back to the original \((X,Y,Z)\) frame

6.3 Position \((M)\)@

Mean anomaly, eccentric anomaly, Kepler equation