The functional relation between three-body mean motion resonances and Yarkovsky drift speeds
I Milić Žitnik (2021)
- Published
- Sep 20, 2021
- Journal
- Monthly Notices of the Royal Astronomical Society · Vol. 507 · No. 4
- DOI
- 10.1093/mnras/stab2526
At a GlanceAI
Derives and validates equations linking three-body MMR crossing time to resonance strength and Yarkovsky semimajor-axis drift.
SummaryAI
Asteroids drifting in semimajor axis due to the Yarkovsky effect can be delayed when they cross three-body mean-motion resonances with Jupiter and Saturn, altering their long-term mobility in the main belt. Using 84,000 numerically integrated test asteroids, the study measures resonance-induced time delays across seven three-body MMRs for both positive and negative drift rates. It introduces two approximate equations relating the average time spent in resonance to resonance strength, drift speed, and low eccentricities (e < 0.1), and shows these analytic estimates match the numerical results well. The result extends to three-body resonances a functional relation previously established for two-body MMRs, enabling more practical modeling of resonance-crossing times under Yarkovsky drift.
Method SnapshotAI
Large-scale numerical integrations with Orbit9 are used to measure resonance-crossing delays and fit approximate functional relations to resonance strength and Yarkovsky drift speed.
BackgroundAI
Celestial mechanics of mean-motion resonances and basic familiarity with the Yarkovsky effect and asteroid orbital elements.