What is the formulas and basic principles of PolynomialAccelerationModel

dear all:
I am tring to figure out the the formulas and basic principles of PolynomialAccelerationModel in orbit determination,cause I can’t find any paper about these on the web, looking forward for your reply。

Hello @carry and welcome to the Orekit forum !

It seems that your question slipped through other posts so i will try to give you a satisfactory answer.

I believe it is more a matter of what you are aiming to model through a polynomial. Typically, this can be used to model unknown forces in either inertial or local orbital frame.

An example would be the modelling of an unknown maneuver expressed in a local orbital frame. The following reference talks about this:

Zhou, X.; Qin, T.; Meng, L. Maneuvering Spacecraft Orbit Determination Using Polynomial Representation. Aerospace 2022 , 9 , 257. Maneuvering Spacecraft Orbit Determination Using Polynomial Representation

From a physical point of view, you are trying to minimize the difference between your model and your measurements so the process does not even know it is dealing with space dynamics.

hope this helps.

Cheers,
Vincent