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The specific property of motion of resonant asteroids with very slow Yarkovsky drift speeds

Ivana Milić Žitnik (2019)

Published
Apr 20, 2019
Journal
Monthly Notices of the Royal Astronomical Society · Vol. 486 · No. 2
DOI
10.1093/mnras/stz874

At a GlanceAI

Numerical integrations reveal a drift-rate threshold below which asteroids “jump” quickly across Jupiter mean-motion resonances.

SummaryAI

This paper shows that asteroids with extremely small Yarkovsky semimajor-axis drift rates can traverse Jupiter’s mean-motion resonances faster than expected, particularly for strong resonances. Using large ensembles of long-term numerical integrations, it identifies a behavioral “breakpoint” near |da/dt| ≈ 7×10⁻⁵ au/Myr: below this value, average resonance-induced delays become negative, indicating accelerated crossing. The result matters for modeling how main-belt asteroids migrate through resonances and may affect interpretations of asteroid-family spreading (e.g., V-shape curvature) when resonances are involved.

Method SnapshotAI

Long-duration N-body numerical integrations with an imposed constant Yarkovsky semimajor-axis drift, measuring resonance crossing lead/lag statistics across multiple Jupiter MMRs.

BackgroundAI

Basic celestial mechanics of mean-motion resonances and the Yarkovsky effect in asteroid orbital evolution.

This paper has presented a new description on the orbital behavior of resonant asteroids with very small Yarkovsky drift speeds. The conclusion is the boundary value of da/dt in the motion of resonant main belt asteroids under the influence of the Yarkovsky effect is at |−7| ×10^(−5) au/Myr. Below this value, asteroids typically quickly jump across the mean motion resonances, and this is especially the case in strong resonances, such as 9:4, 8:3 and 13:6 with Jupiter.