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Resonant and near-resonant dynamics of narrow rings around minor bodies: Symmetric and asymmetric solutions

Article

Authorship
BEAUGE, CRISTIAN ; Gianuzzi, E. ; Cerioni, M. ; Zoppetti, F. A. ; Leiva, A. M. ; Trógolo, N.
Date
2026
Publishing House and Editing Place
EDP SCIENCES S A
Magazine
ASTRONOMY AND ASTROPHYSICS, vol. 708 EDP SCIENCES S A
Summary Information provided by the agent in SIGEVA
Context. Narrow, dense rings have been detected around several Centaurs and trans-Neptunian objects, and they appear located inthe immediate vicinity of spin-orbit resonances (SORs) with the central body. Although resonant motion has not been confirmed, theassociated eccentricity excitation may explain several of their dynamical characteristics, including the existence of rings outside of theRoche radius. Adequate models for these commensurabilities are thus necessary.Aims. While asymmetric lib... Context. Narrow, dense rings have been detected around several Centaurs and trans-Neptunian objects, and they appear located inthe immediate vicinity of spin-orbit resonances (SORs) with the central body. Although resonant motion has not been confirmed, theassociated eccentricity excitation may explain several of their dynamical characteristics, including the existence of rings outside of theRoche radius. Adequate models for these commensurabilities are thus necessary.Aims. While asymmetric librations are known to occur in the circular restricted three-body problem with a Keplerian perturber, itis not clear if the same behavior should be expected in asteroid rings, where the perturber (i.e., nonspherical component) moves ina sub-Keplerian orbit. The aim of this work is thus to extend those classical studies to the case of narrow rings. In particular, ourobjectives are to study the 1/2 and 1/3 SORs, understand in which cases asymmetric solutions may appear, how they can be adequatelymodeled, and to analyze their effects on ring dynamics.Methods. The topology of the SORs was studied using a semi-analytical model for the averaged Hamiltonian extended to the case of asub-Keplerian perturber. The minor planet was modeled by a spherical body plus a mass anomaly on its surface. Varying both the signand magnitude of the mass anomaly, we can reproduce a variety of irregular shapes, such as prolate ellipsoids and cratered bodies.Results. For the 1/2 and 1/3 SORs, we confirm the existence of asymmetric librations for a wide range of rotational frequencies ofthe mass anomaly. These solutions were found for eccentricities beyond a certain limit, usually on the order of ∼0.01−0.1. For morecircular orbits, the phase space does not contain a separatrix, and motion is nonresonant. However, its dynamical behavior showskinematic librations of the critical angle, and capture is possible under the effect of an exterior nonconservative force. We thus denotethese solutions as near-resonance motion. Other SORs, such as the 5/7, are expected to exhibit only symmetric librations.
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Key Words
asteroidesresonanciasmodelos semi-analíticosanillos