Astronomy15 papers
The Yarkovsky effect
IŽ
Ivana Milić Žitnik
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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
Empirical scaling laws link asteroid Yarkovsky drift to time delays while crossing Jupiter–Saturn three-body resonances.
SummaryAI
This paper quantifies how three-body mean-motion resonances with Jupiter and Saturn modify (delay or speed up) Yarkovsky-driven semimajor-axis migration of main-belt asteroids. Using 84,000 Orbit9 integrations across seven isolated resonances, it derives simple power-law relations connecting the average resonance-crossing time offset ⟨dtr⟩ to resonance strength SR and drift rate da/dt for low eccentricities (e<0.1). The fitted formulas reproduce the numerical averages well over a defined SR and da/dt range, and show a pronounced asymmetry: for outward drift (da/dt>0) most ⟨dtr⟩ values are negative, implying faster-than-drift crossing. These relations provide a compact way to incorporate three-body resonance “mobility barriers” into long-term transport and delivery models without rerunning large suites of integrations.
Method SnapshotAI
Large-ensemble N-body numerical integrations with a prescribed Yarkovsky semimajor-axis drift, followed by regression fits relating ⟨dtr⟩ to SR and da/dt.
BackgroundAI
Background in asteroid dynamics, mean-motion resonances (especially three-body), and the Yarkovsky effect in semimajor-axis evolution.
Here are devised two equations that approximately describe the functional relation between the average time dtr spent in the three-body resonance, the strength of the resonance SR, and the semimajor axis drift speed da/dt (positive and negative) with the orbital eccentricities of asteroids in the range (0, 0.1).
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