Numerical Mean Element Orbital Analysis With Morbiter

The Morbiter software numerically averages an osculating orbit’s equations of motion (EOM) to arrive at the mean orbit’s EOMs, which are then numerically propagated to obtain the long-term orbital ephemerides. The long-term evolution characteristics, and stability, of an orbit are best characterized using a mean element propagation of the perturbed, two-body variational equations of motion. The average process eliminates short period terms, leaving only secular and long period effects. Doing this avoids the Fourier series expansions and truncations required by the traditional analytic methods.

The numerical methods require no analytic approximation, and the averaging theory and software implementation work at any solar system body. JPL’s Monte mission analysis and navigation software was used as the underlying trajectory system (to the extent possible) for this innovation.

Morbiter is a package of Python scripts that implement the algorithms, and uses Monte for basic astrodynamics constructs and functions such as trajectories, ephemerides, coordinate systems, astrodynamics constants, and, in most cases, the perturbation acceleration methods. Python is an interpreted language that provides an ideal platform for rapid development of algorithms; however, there is a performance penalty for using Python script-based applications. An end-user, future version of Morbiter that is fully compiled will not suffer from this speed penalty; development of this version is planned to begin in late FY ’10.

This work was done by Todd A. Ely of Caltech for NASA’s Jet Propulsion Laboratory. For more information, contact This email address is being protected from spambots. You need JavaScript enabled to view it..

This software is available for commercial licensing. Please contact Daniel Broderick of the California Institute of Technology at This email address is being protected from spambots. You need JavaScript enabled to view it.. Refer to NPO-47212.

White Papers

High Reliability Flexible Circuits for the Medical Marketplace
Sponsored by Tech Etch
Electronic Component Testing: A Non-contact Sport
Sponsored by flir
Magnetics Design: Specification, Performance & Economics
Sponsored by Datatronics
Antenna Basics
Sponsored by rohde and schwarz a and d
The Ultimate Shaft-To-Hub Connection
Sponsored by Stoffel Polygon
Three Phase Active Power Factor Correction in a Single Step
Sponsored by marotta

White Papers Sponsored By: