The precise and powerful chaos of the 5:2 mean motion resonance with Jupiter

Todorović, N.

doi:10.1093/mnras/stw3070

Cited by 11 publications

(50 citation statements)

References 34 publications

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“…Phaethon is the parent body of the Geminids, one of the most predominant meteor streams. Several studies (de Leon et al 2010;Todorovic 2017Todorovic , 2018 show that Phaethon is likely originating from the family of asteroids associated with (2) Pallas, one of the largest members of the Main Belt. Pallas is clearly hydrated (Usui et al 2019 and references therein) while Phaethon is not (Kareta et al 2018).…”

Section: Discussion a N D I M P L I C At I O N Smentioning

confidence: 99%

Network of thermal cracks in meteorites due to temperature variations: new experimental evidence and implications for asteroid surfaces

Libourel

Ganino

Delbò

et al. 2020

Monthly Notices of the Royal Astronomical Society

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In recent years several studies have shown the importance of thermal fracturing of rocks due to temperature variations, on Earth and Mars. Rock thermal cracking might also be a process at play on the lunar surface. These temperature variations as well as change rates can reach important amplitude on bodies without an atmosphere, in particular on those that reach small perihelion distances such as near-Earth asteroids. On the other hand, the formation, geometry and extension of cracks on these bodies have not been fully investigated yet. Here we show results of thermal cracking laboratory experiments on chondrite meteorites, which develop networks of cracks when subjected to rapid temperature cycles with amplitudes similar to those experienced by asteroids with low perihelion distances. The depth of the cracks can reach a few hundred of microns in some hundreds of temperature cycles, in agreement with theoretical studies. We find that dehydration of hydrous minerals enhances the cracking process. The formation of crack networks increases the porosity both at the surface and in the sub-surface of our specimens. We propose that this process could help explaining the recent finding of the very highly porous surfaces of most of the boulders on the asteroids Ryugu and Bennu.

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Section: Discussion a N D I M P L I C At I O N Smentioning

confidence: 99%

Network of thermal cracks in meteorites due to temperature variations: new experimental evidence and implications for asteroid surfaces

Libourel

Ganino

Delbò

et al. 2020

Monthly Notices of the Royal Astronomical Society

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“…In the work of de Leon et al (2010), where both 5:2 and 8:3 MMRs where studied the probability for this connection was 2 per cent, and in Bottke et al (2002) for example, this probability was zero. In Todorović (2017) we applied the same methodology as done here and found that 8 per cent of test objects placed into the 5:2 MMR reached the orbit of Phaethon; much less than in this work, because, in Todorović (2017), the resonance was mapped in the lower inclined orbital plane of Ceres (at i = 10 deg). Choosing particles at the most unstable parts of the two resonances, but in the orbital plane of Pallas increased the Pallas-Phaethon transportation efficiency multiply times.…”

Section: Resultsmentioning

confidence: 81%

“…It is important that the calculation times of the maps are short, because in this way the fine structure of chaos in the resonance can be clearly detected (Guzzo and Lega 2014;Todorović 2017). The more unstable parts, easily noticeable on the maps, represent 'good' starting positions for diffusion.…”

Section: Methods and Resultsmentioning

confidence: 99%

The Dynamical Connection Between Phaethon and Pallas

Todorović

2017

Monthly Notices of the Royal Astronomical Society

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Phaethon (3200) is an active Near Earth Asteroid classified as a B-type object and a suspected former member of the Pallas family. In this article, we search for sources of Phaethon-like orbits originating from the two strongest resonances in the region of the Pallas family; namely, the 5:2 and 8:3 mean motion resonances with Jupiter, located at a ∼ 2.82 AU and a ∼ 2.70 AU, respectively. The probability for this dynamical connection observed in de Leon et al (2010) was close to 2 per cent. Using sophisticated numerical methods, we found a highly efficient dynamical flow between Pallas and Phaethon. As many as 43.6 per cent of test particles placed in the 5:2 resonance were able to reach the orbit of Phaethon; whereas, for the 8:3 resonance, this percentage was 46.9 per cent.

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“…As a result, the FLI increases almost linearly with time for chaotic orbits and approximately logarithmically for regular orbits. Therefore, the computation of FLI on a grid of initial conditions x(0) for the same fixed initial deviation vector allows us to map the chaos in a dynamical system (FLI map) (Lega et al 2016;Todorović 2017).…”

Section: Methods -Flimentioning

confidence: 99%

Possibility of transporting material from Ceres to NEO region via 8:3 MMR with Jupiter

Kováčová,

Kornoš,

Matlovič

2021

Preprint

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In this work we investigate the possibility of transporting material to the NEO region via the 8:3 MMR with Jupiter, potentially even material released from the dwarf planet Ceres. By applying the FLI map method to the 8:3 MMR region in the orbital plane of Ceres, we were able to distinguish between stable and unstable orbits. Subsequently, based on the FLI maps (for mean anomaly M = 60 • and also M = 30 • ), 500 of the most stable and 500 of the most unstable particles were integrated for 15 M yr for each map. Long-term integration in the case of M = 60 • showed that most of the stable particles evolved, in general, in uneventful ways with only 0.8% of particles reaching the limit of q ≤ 1.3 AU . However, in the case of M = 30 • , a stable evolution was not confirmed. Over 40% of particles reached orbits with q ≤ 1.3 AU and numerous particles were ejected to hyperbolic orbits or orbits with a > 100 AU . The results for stable particles indicate that short-term FLI maps are more suitable for finding chaotic orbits, than for detecting the stable ones. A rough estimate shows that it is possible for material released from Ceres to get to the region of 8:3 MMR with Jupiter. A long-term integration of unstable particles in both cases showed that transportation of material via 8:3 MMR close to the Earth is possible.

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The precise and powerful chaos of the 5:2 mean motion resonance with Jupiter

Cited by 11 publications

References 34 publications

Network of thermal cracks in meteorites due to temperature variations: new experimental evidence and implications for asteroid surfaces

Network of thermal cracks in meteorites due to temperature variations: new experimental evidence and implications for asteroid surfaces

The Dynamical Connection Between Phaethon and Pallas

Possibility of transporting material from Ceres to NEO region via 8:3 MMR with Jupiter

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