Astronomy15 papers
The Yarkovsky effect
IŽ
Ivana Milić Žitnik
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AstronomyWorth Reading
intermediate
The functional relation between mean motion resonances and Yarkovsky force on small eccentricities
Žitnik, I. Milić (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
Empirical scaling links resonance strength and Yarkovsky drift to how long eccentric asteroids are sped up or delayed crossing Jupiter MMRs.
SummaryAI
This paper quantifies how Jupiter’s mean-motion resonances modify Yarkovsky-driven semimajor-axis drift for main-belt-like eccentricities e=0.1–0.2, focusing on the net time lead/lag accumulated while crossing a resonance. Using large ensembles of numerical integrations, it derives a log-linear fit relating average transit time offset ⟨dtr⟩ to resonance strength SR and imposed drift rate da/dt, and shows that the previously published relation for e<0.1 fails because ⟨dtr⟩ is often negative at higher eccentricity (resonances can speed up crossings). The result provides a practical recipe—separately for strong vs. weak resonances—to parameterize resonance “friction/boost” in population or Monte Carlo transport models of asteroid mobility.
Method SnapshotAI
Ensemble N-body numerical integrations with an imposed constant Yarkovsky semimajor-axis drift, followed by least-squares fitting of ⟨dtr⟩ versus SR and da/dt.
BackgroundAI
Basic celestial mechanics of mean-motion resonances plus familiarity with the Yarkovsky effect and statistical interpretation of numerical orbit integrations.
Here is derived a functional relation that accurately describes dependence between the average time lead/lag dtr in mean motion resonances, the strength of the resonance SR, and the semimajor axis drift speed da/dt with asteroids’ orbital eccentricities in the range (0.1, 0.2).
— IŽ