Chaotic dynamics around cometary nuclei

Lages, José; Shevchenko, Ivan I.; Rollin, Guillaume

doi:10.1016/j.icarus.2017.10.035

Cited by 17 publications

(20 citation statements)

References 46 publications

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“…A detailed analysis and a comparison of variational methods and methods of spectral analysis can be found in [2]. Numerical methods to study global behaviour of dynamical systems include, primarily, techniques based on massive computations of Lyapunov exponents [3,4,5,6,7], fast Lyapunov indicators [8], mean exponential growth number [9,10], fundamental frequencies of motion (frequency analysis) [11,12].…”

Section: Numerical Methods To Study Global Dynamicsmentioning

confidence: 99%

Massive evaluation and analysis of Poincaré recurrences on grids of initial data: A tool to map chaotic diffusion

Shevchenko

Rollin

Melnikov

et al. 2020

Computer Physics Communications

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We present a novel numerical method aimed to characterize global behaviour, in particular chaotic diffusion, in dynamical systems. It is based on an analysis of the Poincaré recurrence statistics on massive grids of initial data or values of parameters. We concentrate on Hamiltonian systems, featuring the method separately for the cases of bounded and non-bounded phase spaces. The embodiments of the method in each of the cases are specific. We compare the performances of the proposed Poincaré recurrence method (PRM) and the custom Lyapunov exponent (LE) methods and show that they expose the global dynamics almost identically. However, a major advantage of the new method over the known global numerical tools, such as LE, FLI, MEGNO, and FA, is that it allows one to construct, in some approximation, charts of local diffusion timescales. Moreover, it is algorithmically simple and straightforward to apply.

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Section: Numerical Methods To Study Global Dynamicsmentioning

confidence: 99%

Massive evaluation and analysis of Poincaré recurrences on grids of initial data: A tool to map chaotic diffusion

Shevchenko

Rollin

Melnikov

et al. 2020

Computer Physics Communications

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“…In Fig. 1, adapted from our previous study (Lages, Shevchenko & Rollin, 2018), we represent graphically the extents of the circum-CB chaotic zone. The diagram is set in the "CB rotation rate -particle's initial pericentric distance" frames.…”

Section: Circum-cb Clearing: the Problem Settingmentioning

confidence: 99%

Dynamical environments of MU69 and similar objects

Rollin

Shevchenko

Lages

2021

Icarus

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We explore properties of the long-term dynamics of particles (moonlets, fragments, debris etc.) around KBO 2014 MU69 (Arrokoth), as well as around similar contact-binary objects potentially present in the Kuiper belt. The chaotic diffusion of particles inside the Hill sphere of MU69 (or, generally, a similar object) is studied by means of construction of appropriate stability diagrams and by application of analytical approaches generally based on the Kepler map theory. The formation and evolution of the particle clouds, due to the chaotic diffusion inside the Hill sphere, are studied and the cloud lifetimes are estimated.

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“…The point of our report is that this lucky absence is just a dynamical consequence of the physical nature of MU69. Spinning gravitating dumbbells create zones of dynamical chaos around them (Lages, Shepelyansky & Shevchenko 2017), and this has a clearing effect: any material put in orbits around a rotating dumbbell (e.g., any material ejected from the surface) cannot be long-lived in this zone; it either escapes into space, or returns to the parent body's surface (Lages, Shevchenko & Rollin 2018). As the orbiting matter is removed in this way, a spinning gravitating dumbbell clears its vicinities.…”

Section: Chaotic Clearingmentioning

confidence: 99%

Dynamical environments of MU69: a state of chaotic clearing

Lages

Shevchenko²

2018

Proc. IAU

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The second (after Pluto) plausible target object for the New Horizons mission is 2014 MU69. It is a classical TNO, a primordial contact binary. Identifying any material in the vicinities of a target object is of an especial concern for planning cosmic fly-byes, as it is hazardous for a space probe. Luckily, no such material has been reported for MU69 up to now. The point of our report is that this lucky absence is just a dynamical consequence of the physical nature of MU69. Spinning gravitating dumbbells create zones of dynamical chaos around them, and this has a clearing effect: any material put in orbits around a rotating dumbbell (e.g., any material ejected from its surface) cannot be long-lived in such zones; it either escapes into space, or returns to the parent body’s surface. As the orbiting matter is removed in this way, a spinning gravitating dumbbell clears its vicinities. We show that MU69 is able to create such a clearing, making itself a safe and hospitable target for a space mission. Therefore, the guest probe is expected to be safe on arrival.

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Chaotic dynamics around cometary nuclei

Cited by 17 publications

References 46 publications

Massive evaluation and analysis of Poincaré recurrences on grids of initial data: A tool to map chaotic diffusion

Massive evaluation and analysis of Poincaré recurrences on grids of initial data: A tool to map chaotic diffusion

Dynamical environments of MU69 and similar objects

Dynamical environments of MU69: a state of chaotic clearing

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