In 2020, I presented a new article to the "COSMOLOGY ON SMALL SCALES 2020" International Conference. It is located on pages 173 to 186 of the book of the proceedings. It was the continuation of the GMTET formalized model. Noticeably this paper presents the validating tests of the 2 models of my research, GMTET, and surrounding which illustrates the behaviour of GMTET at astrophysical interacting distances.