Radiometric sensitivity and resolution of synthetic tracking imaging for orbital debris monitoring

Abstract: We consider sampling and detection strategies for solar illuminated space debris. We argue that the lowest detectable debris cross section may be reduced by 10-100x by analysis of phase-space-pixels rather than single frame data. The phase-space-pixel is a weighted stacking of pixels corresponding to a test debris trajectory within the very wide camera field-of-view (FOV). To isolate debris signals from background, exposure time is set to match the time it takes a debris to transit through the instantaneous field of view. Debris signatures are detected though a generalized Hough transform of the data cube. Radiometric analysis of line integrals shows that that sub-cm objects in Low Earth Orbit can be detected and assigned full orbital parameters by this approach