Dynamics around Non-Spherical Symmetric Bodies: I. The case of a spherical body with mass anomaly

Abstract

The space missions designed to visit small bodies of the Solar System boosted the study of the dynamics around non-spherical bodies. In this vein, we study the dynamics around a class of objects classified by us as Non-Spherical Symmetric Bodies, including contact binaries, triaxial ellipsoids, spherical bodies with a mass anomaly, among others. In the current work, we address the results for a body with a mass anomaly. We apply the pendulum model to obtain the width of the spin-orbit resonances raised by non-asymmetric gravitational terms of the central object. The Poincare surface of section technique is adopted to confront our analytical results and to study the system's dynamics by varying the parameters of the central object. We verify the existence of two distinct regions around an object with a mass anomaly: a chaotic inner region that extends beyond the corotation radius and a stable outer region. In the latter, we identify structures remarkably similar to those of the classical restrict and planar 3-body problem in the Poincare surface of sections, including asymmetric periodic orbits associated with 1:1+p resonances. We apply our results to a Chariklo with a mass anomaly, obtaining that Chariklo rings are probably related to first kind periodic orbits and not with 1:3 spin-orbit resonance, as proposed in the literature. We believe that our work presents the first tools for studying mass anomaly systems.

arXiv commentAccepted 2021 December 02. Received 2021 November 10; in original form 2021 August 06 - MNRAS

References in corpus (24)

• OSIRIS-REx: Sample Return from Asteroid (101955) Bennu
• Collisions between Gravity-Dominated Bodies: 2. The Diversity of Impact Outcomes during the End Stage of Planet Formation
• Collisions Between Gravity-Dominated Bodies: 1. Outcome Regimes and Scaling Laws
• A ring system detected around the Centaur (10199) Chariklo
• The size, shape, density and ring of the dwarf planet Haumea from a stellar occultation
• Orbits and Masses of the Satellites of the Dwarf Planet Haumea = 2003 EL61
• Sizes of main-belt asteroids by combining shape models and Keck adaptive aptics observations
• Size and shape of Chariklo from multi-epoch stellar occultations
• Ring dynamics around non-axisymmetric bodies with application to Chariklo and Haumea
• The structure of Chariklo's rings from stellar occultations
• The Kepler map in the three-body problem
• Shape model of asteroid (130) Elektra from optical photometry and disk-resolved images from VLT/SPHERE and Nirc2/Keck
• Chaotic zones around rotating small bodies
• Chaotic dynamics around cometary nuclei
• Surface Dynamics, Equilibrium Points and Individual Lobes of the Kuiper Belt Object (486958) Arrokoth
• On the location of the ring around the dwarf planet Haumea
• Asteroid triple system 2001 SN263 : surfaces characteristics and dynamical environment
• Dynamical Environment and Surface Characteristics of Asteroid (16) Psyche
• Resonances in non-axisymmetric gravitational potentials
• Effects of immersed moonlets in the ring arc particles of Saturn
• Poincaré surfaces of section around a 3-D irregular body: The case of asteroid 4179 Toutatis
• Bifurcation of equilibrium points in the potential field of asteroid 101955 Bennu
• Dynamical environments of MU69 and similar objects
• The dynamics of rings around Centaurs and Trans-Neptunian Objects

Cited by in corpus (5)

• Dynamical origin of Dimorphos from fast spinning Didymos
• Rapid formation of binary asteroid systems post rotational failure: a recipe for making atypically shaped satellites
• A formation mechanism for narrow rings around minor bodies
• Gravitational disturbance on asteroidal ring systems by close encounter with a small object
• Dynamical environments of (486958) Arrokoth: prior evolution and present state