Overview
Syllabus
Cislunar Space Introduction
Example low-energy Cislunar spacecraft trajectories
Table of contents
Circular restricted three-body problem
Lunar rotating frame
Equations of motion
Tisserand relation, Jacobi constant
Dynamics along Tisserand curves
Realms of energetically possible motion
Five energy cases and zero velocity surfaces
Necks at Lagrange points L1, L2, and L3
Motion near the stable Lagrange points L4 and L5
Tadpole and horseshoe orbits
Oterma comet goes between interior, secondary and exterior realms
Motion near lunar L1 and L2
Periodic and quasiperiodic orbits about L1 or L2
Periodic orbit family metro map
Stability of trajectories, especially periodic orbits
Stability of halo orbit
Quasi-halo orbits around a halo orbit
MATLAB code description
MATLAB Demonstration, compute a halo orbit and manifolds
Connections between cislunar and heliocentric space
Mean motion resonances, Lunar gravity assists
Effect of distant lunar flybys, analytical model
Global phase space dynamics, chaotic sea, stable sea shores, stable resonant islands
Resonance zone within the chaotic sea
More realistic models
Taught by
Ross Dynamics Lab