Initial orbit determination
Version 1.1.0 (672 KB) by Meysam Mahooti
Initial orbit determination (two sets of range and angle measurements of a satellite)
Updated Sat, 29 Oct 2022 10:02:31 +0000
In favorable cases a satellite may allow simultaneous distance and angle measurements yielding directly the satellite's three-dimensional position relative to the ground station. Accounting for the known station location, these measurements can be converted to the position with respect to the center of the Earth. Only two of these position vectors (corresponding to six independent measurements) are then required to determine all six orbital elements in a unique way. The method described in the following comes from Gauss, and provides an efficient and robust way of solving the orbit determination problem for two given position vectors. Further methods like the Lambert-Euler method, the p-iteration and the use of f and g series are discussed in Escobal (1965) and Bate (1971).
Montenbruck O., Gill E., "Satellite Orbits: Models, Methods and Applications," Springer Verlag, Heidelberg, Corrected 3rd Printing (2005).
Meysam Mahooti (2023). Initial orbit determination (https://www.mathworks.com/matlabcentral/fileexchange/77362-initial-orbit-determination), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Created with R2021b
Compatible with any release
Platform CompatibilityWindows macOS Linux
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!Start Hunting!
Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.