3-1-3 Euler Angle Sequence

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A sequence of three rotations that transforms the Sun–Earth rotating frame into the Earth–Moon rotating frame. The first angle α defines the lunar line of nodes relative to the X-axis, the second angle i is the orbital inclination (fixed at 5° in the model), and the third angle β positions the Moon in its orbit relative to the node. This sequence converts geometric information from the CR3BP into timing information in the ephemeris model.

References

• Howell and Kakoi, 2006, Acta Astronautica