many experiments are designed to measure the cosmic ray spectrum, including space probes. what confues me most is that, when considering the geometry factor of the
detector, how can we decide the steradan and what is the reference point in outerspace?
I'm not sure I understand the phrase, "reference point in outerspace". The detector has an aperture that covers a fixed solid-angular resolution in the sky along its line of sight. Maybe I misunderstand your question??