Mean and Osculating Classical Orbital Elements

MATLAB algorithm for converting to/from mean and osculating orbital elements.

https://sourceforge.net/u/cdeaglejr/profile/

Version 1.3.0 (10.3 KB)
431 Downloads
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25 Jul 2026

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This submission is a MATLAB script named osculate that can be used to perform the conversion to and from mean classical orbital elements. It also provides graphic displays of the time evolution of osculating and the corresponding mean orbital elements. This algorithm is based on an algorithm due to the astrodynamicist Chauncey Uphoff. The user is advised to unzip the osculate.zip archive to its own folder and run the script from there.

Cite As

David Eagle (2026). Mean and Osculating Classical Orbital Elements (https://www.mathworks.com/matlabcentral/fileexchange/104185-mean-and-osculating-classical-orbital-elements), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
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Version Published Release Notes
1.3.0

Updated source code and graphics.
1.2.0

Corrected value for J2. Updated PDF document.
1.1.0

Added another algorithm named osculate.m based on the work of the astrodynamicist Chauncey Uphoff
1.0.0