Ballistic Interplanetary Trajectory Optimization - OTB

Optimization Toolbox version of a MATLAB script that solves the two impulse, patched-conic interplanetary trajectory problem.
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Updated 21 Apr 2025

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This submission is a MATLAB script called ipto_otb that can be used to design and optimize “patched conic” ballistic interplanetary trajectories between any two planets of our solar system. It can also be used to find two-body trajectories between a planet and an asteroid or comet. A patched-conic trajectory ignores the gravitational effect of both the launch and arrivals planets on the heliocentric orbital transfer trajectory. This technique involves the solution of Lambert's problem relative to the Sun. The ipto_otb script also includes the option to include user-defined mission constraints such as departure energy, time-of-flight, and so forth during the trajectory optimization.
The ipto_otb MATLAB script also performs a graphical primer vector analysis of the solution. This program feature displays the behavior of the primer vector magnitude and primer derivative magnitude as a function of mission elapsed time in days from departure. This script uses the fmincon nonlinear programming (NLP) algorithm from the MathWorks® Optimization Toolbox to solve this classic orbital mechanics problem.
This MATLAB script reads a JPL planetary ephemerides in a machine-independent binary format (kernels) which are available from the JPL SPICE web site. These *.bsp ephemeris files are IEEE-Little Endian style of binary kernel. This is the binary form native to PC/Linux, PC/Windows and MAC/Intel machines. Ephemeris and other required data files, platform dependent versions of the MICE mex file and other functions are available at naif.jpl.nasa.gov/naif/toolkit_MATLAB.html. MICE is a MATLAB implementation of the JPL SPICE software system.
This submission includes a Windows 64bit version of the MICE mex file.

Cite As

David Eagle (2025). Ballistic Interplanetary Trajectory Optimization - OTB (https://www.mathworks.com/matlabcentral/fileexchange/73513-ballistic-interplanetary-trajectory-optimization-otb), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2024b
Compatible with R2019b
Platform Compatibility
Windows macOS Linux
Categories
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Version Published Release Notes
1.6.0

Updated several algorithms, graphics displays and PDF documentation.

1.5.0

Changed fmincon algorithm to interior-point. Updated several MATLAB functions and PDF documentation.

1.4.0

Minor tweaks to the MATLAB source code, graphics updates and updated PDF user's guide.

1.3.0

Bug fix for comet/asteroid bodies

1.2.0

DE421 ephemeris

1.1.0

Updated to use the DE440s JPL ephemeris and MICE routines

1.0.0