Asteroids in retrograde resonance with Jupiter and Saturn

Morais, M. H. M.; Namouni, Fathi

doi:10.1093/mnrasl/slt106

Cited by 59 publications

(48 citation statements)

References 22 publications

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“…In recent articles it was clearly established that the capture in high inclination mean motion resonances (MMRs) is a common phenomena even for retrograde orbits (Morais & Namouni 2013;Namouni & Morais 2015;Fernández et al 2016;Wiegert et al 2017;Fernandez et al 2018). One decisive factor for the occurrence of these captures is the relatively large strength that some resonances have for the full interval of orbital inclinations (Gallardo 2019).…”

Section: Introductionmentioning

confidence: 99%

Orbital stability in the Solar system for arbitrary inclinations and eccentricities: planetary perturbations versus resonances

Gallardo

2019

Monthly Notices of the Royal Astronomical Society

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Applying the technique of dynamical maps we study the orbital stability of test particles in the Solar System in the space (a, e, i) defined by 0.1 < a < 38 au, 0 < e < 0.9 and 0 • < i < 180 • identifying the unstable and stable regions. We find stable niches where small bodies can survive even for very high eccentricities. Mean motion resonances play a fundamental role providing stability against the planetary perturbations specially for high inclination orbits. A stability stripe around i ∼ 150 • is present all along the Solar System. We found that the population of objects with semimajor axes between 10 and 30 au is evolving inside a highly unstable region according to our maps. For the inner Solar System we found that the region between the Hildas and Jupiter is more stable for high eccentricity orbits than for low eccentricity ones.

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Section: Introductionmentioning

confidence: 99%

Orbital stability in the Solar system for arbitrary inclinations and eccentricities: planetary perturbations versus resonances

Gallardo

2019

Monthly Notices of the Royal Astronomical Society

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“…• reference inclination, to study the dynamics of retrograde resonances (Morais & Namouni 2013b). The retrograde disturbing function helped to identify the first Centaurs and Damocloids in retrograde resonance with Jupiter and Saturn (Morais & Namouni 2013a).…”

Section: Introductionmentioning

confidence: 99%

The disturbing function for polar Centaurs and transneptunian objects

Namouni

Morais

2017

Monthly Notices of the Royal Astronomical Society

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The classical disturbing function of the three-body problem is based on an expansion of the gravitational interaction in the vicinity of nearly coplanar orbits. Consequently, it is not suitable for the identification and study of resonances of the Centaurs and transneptunian objects on nearly polar orbits with the solar system planets. Here, we provide a series expansion algorithm of the gravitational interaction in the vicinity of polar orbits and produce explicitly the disturbing function to fourth order in eccentricity and inclination cosine. The properties of the polar series differ significantly from those of the classical disturbing function: the polar series can model any resonance as the expansion order is not related to the resonance order. The powers of eccentricity and inclination of the force amplitude of a p:q resonance do not depend on the value of the resonance order |p − q| but only on its parity. Thus all even resonance order eccentricity amplitudes are ∝ e 2 and odd ones ∝ e to lowest order in eccentricity e. With the new findings on the structure of the polar disturbing function and the possible resonant critical arguments, we illustrate the dynamics of the polar resonances 1:3, 3:1, 2:9 and 7:9 where transneptunian object 471325 could currently be locked.

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“…Theoretical studies predict that Trojan asteroids are a byproduct of planet formation and evolution and were later captured from the planets. Chaotic capture of Jovian Trojan asteroids in the early Solar System (∼3.4 My), were presented in the work of Morais & Namouni (2013). Lykawka et al (2009) and Lykawka & Horner (2010) investigated the origin and dynamical evolution of Neptune Trojans during the formation and migration of the planets.…”

Section: Introductionmentioning

confidence: 99%

The Hungaria region as a possible source of Trojans and satellites in the inner Solar system

Galiazzo

Schwarz

2014

Monthly Notices of the Royal Astronomical Society

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The Hungaria Family (the closest region of the Main Belt to Mars) is an important source of Planet-Crossing-Asteroids and even impactors of terrestrial planets. We present the possibility that asteroids coming from the Hungaria Family get captured into co-orbital motion with the terrestrial planets in the inner solar system. Therefore we carried out long term numerical integrations (up to 100 Myr) to analyze the migrations from their original location -the Hungaria family region-into the inner solar system. During the integration time we observed whether or not the Hungarias get captured into a co-orbital motion with by the terrestrial planets. Our results show that 5.5 % of 200 Hungarias, selected as a sample of the whole group, escape from the Hungaria region and the probability from that to become co-orbital objects (Trojans, satellites or horseshoes) turns out to be ∼ 3.3%: 1.8% for Mars and 1.5% for the Earth. In addition we distinguished in which classes of co-orbital motion the asteroids get captured and for how long they stay there in stable motion. Most of the escaped Hungarias become Quasi-satellites and the ones captured as Trojans favour the L 5 lagrangian point. This work highlights that the Hungaria region is a source of Mars and also Earth co-orbital objects.

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Asteroids in retrograde resonance with Jupiter and Saturn

Cited by 59 publications

References 22 publications

Orbital stability in the Solar system for arbitrary inclinations and eccentricities: planetary perturbations versus resonances

Orbital stability in the Solar system for arbitrary inclinations and eccentricities: planetary perturbations versus resonances

The disturbing function for polar Centaurs and transneptunian objects

The Hungaria region as a possible source of Trojans and satellites in the inner Solar system

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