Halo Orbit Design using Richardson's Algorithm

MATLAB script for creating graphic displays of Halo orbits in the circular-restricted, three-body problem.
270 Downloads
Updated Thu, 17 Feb 2022 11:08:08 +0000

View License

Orbit displays are centered at the selected libration poimt. The x-y plane is the plane of motion of the primary (larger) body about the secondary (smaller) body. the positive x-asis points away from the primary body. The z-axis is normal to the orbit plane and completes the right-handed, rotating (synodic) coordinate system.
Reference - Analytic Contruction of Periodic Orbits about the Collinear Points, Celestial Mechanics 22 (1980), 241-253.
Here is a typical user interaction with this MATLAB script.
< halo orbit design using Richardson's algorithm>
please select the libration point of interest
<1> halo orbit about L1
<2> halo orbit about L2
<3> halo orbit about L3
selection (1, 2, or 3)
? 1
please input the class type (1 = class I, 2 = class II)
? 1
please input the three-body system (1 = Earth-Moon, 2 = Sun-Earth
? 1
please input the z-amplitude in kilometers
? 12500

Cite As

David Eagle (2024). Halo Orbit Design using Richardson's Algorithm (https://www.mathworks.com/matlabcentral/fileexchange/106840-halo-orbit-design-using-richardson-s-algorithm), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0