Disruption limits around triaxial bodies and implications for ring-bearing minor bodies
Abstract
The classical Roche limit is often used as a boundary between ring-dominated and satellite-dominated regions, although it is derived for a self-gravitating fluid satellite orbiting a spherical primary. This assumption is poorly suited to ring-bearing minor bodies, which are often triaxial. Here, we compute the equilibrium figures and disruption limits of inviscid fluid satellites orbiting triaxial primaries, modelling their gravity fields through J2 and C22. The primary's oblateness and equatorial asymmetry shifts the disruption limit outward relative to the classical Roche limit, with C22 dominating the correction at sufficiently high values, which require highly oblate primaries. The disruption location also depends on the primary's orientation, defining a radial disruption region rather than a single limit in non-double-synchronous systems. Increasing orbital inclination shifts the limit inward, significantly so only at high inclinations. Symbolic regression provides an empirical expression for the disruption limit around triaxial primaries, which we apply to ring-bearing minor bodies. The correction is most relevant for Haumea and Chariklo, whereas the rings of Chiron and Quaoar located beyond the classical Roche limit remain outside the disruption region for realistic particle densities. This indicates that treating the disruption limit as a strict boundary between ring-dominated and satellite-dominated regions is an oversimplification, since the long-term survival of a ring also depends on collisional evolution, particle properties, and resonant confinement driven by the primary's non-axisymmetric gravity field.
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BibTeX
@misc{madeira2026disruption,
title = {{Disruption limits around triaxial bodies and implications for ring-bearing minor bodies}},
author = {Gustavo Madeira and T. F. L. L. Pinheiro},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04800},
eprint = {2611.04800},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04800},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Disruption limits around triaxial bodies and implications for ring-bearing minor bodies
AU - Gustavo Madeira
AU - T. F. L. L. Pinheiro
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04800
UR - https://arxiv.org/abs/2611.04800
AB - The classical Roche limit is often used as a boundary between ring-dominated and satellite-dominated regions, although it is derived for a self-gravitating fluid satellite orbiting a spherical primary. This assumption is poorly suited to ring-bearing minor bodies, which are often triaxial. Here, we compute the equilibrium figures and disruption limits of inviscid fluid satellites orbiting triaxial primaries, modelling their gravity fields through J2 and C22. The primary's oblateness and equatorial asymmetry shifts the disruption limit outward relative to the classical Roche limit, with C22 dominating the correction at sufficiently high values, which require highly oblate primaries. The disruption location also depends on the primary's orientation, defining a radial disruption region rather than a single limit in non-double-synchronous systems. Increasing orbital inclination shifts the limit inward, significantly so only at high inclinations. Symbolic regression provides an empirical expression for the disruption limit around triaxial primaries, which we apply to ring-bearing minor bodies. The correction is most relevant for Haumea and Chariklo, whereas the rings of Chiron and Quaoar located beyond the classical Roche limit remain outside the disruption region for realistic particle densities. This indicates that treating the disruption limit as a strict boundary between ring-dominated and satellite-dominated regions is an oversimplification, since the long-term survival of a ring also depends on collisional evolution, particle properties, and resonant confinement driven by the primary's non-axisymmetric gravity field.
ER -