The functional relation between mean motion resonances and Yarkovsky force on small eccentricities
I Milić Žitnik (2020)
- Published
- Sep 11, 2020
- Journal
- Monthly Notices of the Royal Astronomical Society · Vol. 498 · No. 3
- DOI
- 10.1093/mnras/staa2738
At a GlanceAI
Derives a scaling law linking Yarkovsky drift, Jupiter 2-body MMR strength, and resonance crossing time delays at e=0.1–0.2.
SummaryAI
The study quantifies how a Jupiter two-body mean-motion resonance modifies Yarkovsky-driven semimajor-axis migration for asteroids with modest eccentricities (0.1–0.2). It introduces and tests a functional relation connecting the average resonance-induced time lead/lag in crossing, the resonance strength, and the Yarkovsky drift rate, using many ORBIT9 numerical integrations of test asteroids that successfully traverse the resonance without planetary encounters. The work also checks whether an earlier relation derived for lower eccentricities (0–0.1) remains valid and explores a unified description over the full range e=0–0.2. These results help translate resonance properties and thermal-drift rates into expected delays/accelerations in transport across major resonances in the asteroid belt.
Method SnapshotAI
Large-ensemble numerical integrations with ORBIT9 were used to measure resonance crossing delays and fit/validate an empirical functional relation.
BackgroundAI
Celestial mechanics of two-body mean-motion resonances and basic understanding of the Yarkovsky effect on asteroid semimajor-axis drift.