Evolution of eccentricity and semimajor axis of satellites (diamond markers) and test particles (black dots) around Quaoar, with each panel corresponding to a different epoch. Orange vertical dashed lines mark the locations of SORs with Quaoar, while green and purple dashed lines indicate first-order MMRs with the satellite (green diamond) and Weywot (purple diamond), respectively. Shaded vertical bands highlight the co-orbital regions of each satellite, and the colored curves delimit the region where particle apocenters and pericenters cross the chaotic zone surrounding the satellite, with the colors of the bands and curves matching those of the corresponding satellite. The wider dashed orange lines correspond to the SORs associated with the rings: the 1:3 SOR is associated with Q1R and the 5:7 SOR is associated with Q2R.