Tag: tno

The von Zeipel–Lidov–Kozai (ZLK) mechanism plays an important role in the long-term dynamical evolution of trans-Neptunian objects (TNOs) subjected to planetary gravitational perturbations. Despite its theoretical significance, a systematic observational census of TNOs exhibiting clear ZLK dynamics has been lacking. We performed a comprehensive search for ZLK resonances among all 1,037 numbered objects from the AstDyS catalog with semimajor axes a > 30 au. Using numerical integrations spanning up to 300 Myr, we identify 81 objects (≈7.8% of the sample) that are trapped in ZLK resonance, with an additional 23 transient objects exhibiting alternating libration and circulation. A key finding is that all TNOs in ZLK resonance are simultaneously trapped in two-body mean motion resonances (MMRs) with Neptune, providing direct empirical confirmation of theoretical predictions. The most populated MMRs are 2N-3 (58 objects), 4N-7 (15 objects), 1N-2 (9 objects), and 3N-5 (7 objects). For non-1N-2 MMRs, libration centers cluster near 90° and 270°, while the 1N-2 resonance shows shifted centers at approximately 120°, 150°, 300°, and 330°. We identify several dynamically interesting objects in ZLKR, including the retrograde TNO (585899) 2020 HM98 in 2N+9 and the distant object (652920) 2014 GR53 in the high-order 1N-18 MMR, confirming that resonances of type 1:N and high-order MMRs can maintain ZLK dynamics at large heliocentric distances.

In this study, a large-scale numerical investigation of resonant objects in the Neptune region is presented, focusing on both two-body and three-body mean-motion resonances (MMRs). Two separate simulations were conducted to identify resonant populations and quantify their prevalence. In Simulation 1, two-body MMRs with Uranus and Neptune up to the resonant order q≤10, as well as three-body MMRs involving both planets up to the order q≤6, were examined. Using automated resonance classification techniques, it was found that 42.1% of objects are resonant, increasing to 58.2% when including controversial cases. This is significantly higher than the resonant fraction observed in the main asteroid belt. The results confirm that two-body MMRs with Neptune dominate, with a smaller but significant fraction of three-body resonances and two-body resonances with Uranus. In Simulation 2, the analysis was extended to higher-order (q≤20) and high-integer-coefficient (mi≤50) two-body resonances with Neptune, testing whether previously classified non-resonant objects might belong to higher-order MMRs. This second simulation revealed an additional 108 resonances and 104 new confirmed resonant objects, bringing the total fraction of resonant asteroids in the region to 49.3% confirmed cases and 65.1% with controversial cases included. Many new two-body MMRs with Neptune are found. Notably, some objects were found to be trapped in multiple resonances simultaneously. These results demonstrate that MMRs play an important role in shaping the trans-Neptunian region, with an overall resonance fraction more than three times higher than in the main asteroid belt. All objects in this region may be in fact resonant.