Application-of-Extended-Kalman-Filter-to-Orbit-Determiation

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Application-of-Extended-Kalman-Filter-to-Orbit-Determiation

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Applying extended Kalman filter to initial orbit determination.

Application-of-Extended-Kalman-Filter-to-Orbit-Determiation 최신버젼 다운로드

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# Application of Extended Kalman Filter to Orbit Determiation

The extended Kalman filter was applied to an initial orbit determination problem done by non-linear weighted least squares method in order to improve the error ellipsoid.

## Presentation

Please visit: https://portfolium.com/entry/extended-kalman-filter-in-orbit-determination for the presentation on how this code was developed.

## Code

The main script can run on its own to generate the solution, but I have also included all the functions separately as well.

## Results

![Orbit](https://raw.githubusercontent.com/rtakatori49/Application-of-Extended-Kalman-Filter-to-Orbit-Determiation/master/entireorbit.png)
![Orbit for Duration](https://raw.githubusercontent.com/rtakatori49/Application-of-Extended-Kalman-Filter-to-Orbit-Determiation/master/orbitforobservationduration.png)

Dr.A's Results | My Results
-------------- | ----------
![DrAResults](https://raw.githubusercontent.com/rtakatori49/Application-of-Extended-Kalman-Filter-to-Orbit-Determiation/master/chrome_2020-03-14_14-35-54.png) | ![MyResults](https://raw.githubusercontent.com/rtakatori49/Application-of-Extended-Kalman-Filter-to-Orbit-Determiation/master/MATLAB_2020-03-14_14-34-23.png)

## References Used
* Vallado, D. A., and McClain, W. D., Fundamentals of astrodynamics and applications, El Segundo, CA: Microcosm Press, 2001.
* “Initial Orbit Determination (Extended Kalman Filter) - File Exchange - MATLAB Central,” Initial Orbit Determination (Extended Kalman Filter) - File Exchange - MATLAB Central Available: https://www.mathworks.com/matlabcentral/fileexchange/55627-initial-orbit-determination-extended-kalman-filter.
* Keil, E. M., “Kalman Filter Implementation to Determine Orbit and Attitude of a Satellite in a Molniya Orbit” Available: https://vtechworks.lib.vt.edu/bitstream/handle/10919/49102/Keil_EM_T_2014.pdf?sequence=1&isAllowed=y.

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