Building on the material posted and linked there: the fact that the satellites are in different distances is due to the fact that the absorbing electronic states have different characteristic energies.
I reccomend you to try to talk with Prof. Dra. Ana Maria Botelho do Rego. She has a profile here in Research Gate. She is a very experienced professional in the field of XPS and works in the Instituto Superior Técnico, University of Lisbon, Portugal. I had the awesome chance to work with her during my PhD and she helped me a lot with my XPS analyzes. I am quite sure that she can somehow contribute to your question.