Caution

Under construction…beep beep beep…

# 6 Standard Orbital Elements@

Info

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.

Description

See above.

Author

Matt Werner

## 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