How long will asteroids on retrograde orbits survive?

Kankiewicz, P.; Wlodarczyk, I.

doi:10.1016/j.pss.2018.03.001

Cited by 13 publications

(7 citation statements)

References 14 publications

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“…A possible explanation is the existence of different dynamical regimes (chaotic zones) in orbital evolution. To verify the A&A 646, A182 (2021) previously obtained parameters and confirm the possible presence of chaos, we supplemented these results with the Lyapunov exponents of these orbits, which we estimated with a simplified gravitational model (Kankiewicz & Włodarczyk 2018). The general conclusion of this study is that τ and Lyapunov times (LT) allow for a quantitative estimation of dependence on initial conditions, but are not necessarily strongly correlated.…”

Section: Introductionmentioning

confidence: 87%

“…Owing to the potential presence of non-gravitational effects typical of the asteroid (e.g. the Yarkovsky effect), we decided to include them in a similar form as in our previous studies (Kankiewicz & Włodarczyk 2018). The influence of this effect was investigated.…”

Section: Dynamical Modelsmentioning

confidence: 99%

“…In specific cases, owing to the lack of convergence in the LCI estimation procedure, some results are preceded by a ≥ sign, which can be interpreted as a time longer than or equal to the obtained value. Information updated since our previous studies (Kankiewicz & Włodarczyk 2018) is denoted with an asterisk. New objects in the list are denoted with a double asterisk.…”

Section: Dynamical Modelsmentioning

confidence: 99%

“…All data adopted from JPL Small-Body Database. Information updated since our previous studies (Kankiewicz & Włodarczyk 2018) is denoted with an asterisk. New objects in the list are denoted with a double asterisk.…”

Section: Introductionmentioning

confidence: 99%

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Impact of non-gravitational effects on chaotic properties of retrograde orbits

Kankiewicz

Wlodarczyk²

2021

A&A

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Context. Dynamical studies of asteroid populations in retrograde orbits, that is with orbital inclinations greater than 90 degrees, are interesting because the origin of such orbits is still unexplained. Generally, the population of retrograde asteroids includes mostly Centaurs and transneptunian objects. A special case is the near-Earth object (343158) 2009 HC82 from the Apollo group. Another interesting object is the comet 333P/LINEAR, which for several years was considered the second retrograde object approaching Earth. Another comet in retrograde orbit, 161P Hartley/IRAS appears to be an object of similar type. Thanks to the large amount of observational data for these two comets, we tested various models of cometary non-gravitational forces applied to their dynamics. Aims. The goal was to estimate which of non-gravitational perturbations could affect the stability of retrograde bodies. In principle, we study the local stability by measuring the divergence of nearby orbits. Methods. We numerically determined Lyapunov characteristic indicators and the associated Lyapunov times (LT). This time, our calculations of these parameters were extended by more advanced models of non-gravitational perturbations (i.e. Yarkovsky drift and in selected cases cometary forces). This allowed us to estimate chaos in the Lyapunov sense. Results. We found that the Yarkovsky effect for obliquities of γ = 0° and γ = 180° can change the LT substantially. In most cases, for the prograde rotation, we received more stable solutions. Moreover, we confirmed the role of retrograde resonances in this process. Additionally, the studied cometary effects also significantly influence the long-term behaviour of the selected comets. The LT can reach values from 100 to over 1000 yr. Conclusions. All of our results indicate that the use of models with non-gravitational effects for retrograde bodies is clearly justified.

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Section: Introductionmentioning

confidence: 87%

Section: Dynamical Modelsmentioning

confidence: 99%

Section: Dynamical Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Impact of non-gravitational effects on chaotic properties of retrograde orbits

Kankiewicz

Wlodarczyk²

2021

A&A

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“…A possible explanation is the existence of different dynamical regimes (chaotic zones) in orbital evolution. To verify the previously obtained parameters and confirm the possible presence of chaos, we supplemented these results with the Lyapunov exponents of these orbits, which we estimated with a simplified gravitational model (Kankiewicz & Włodarczyk 2018). The general conclusion of this study is that τ and Lyapunov times (LT) allow for a quantitative estimation of dependence on initial conditions, but are not necessarily strongly correlated.…”

Section: Introductionmentioning

confidence: 88%

Impact of non-gravitational effects on chaotic properties of retrograde orbits

Kankiewicz,

Włodarczyk

2021

Preprint

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Context. Dynamical studies of asteroid populations in retrograde orbits, that is with orbital inclinations greater than 90 degrees, are interesting because the origin of such orbits is still unexplained. Generally, the population of retrograde asteroids includes mostly Centaurs and transneptunian objects (TNOs). A special case is the near-Earth object (343158) 2009 HC82 from the Apollo group. Another interesting object is the comet 333P/LINEAR, which for several years was considered the second retrograde object approaching Earth. Another comet in retrograde orbit, 161P Hartley/IRAS appears to be an object of similar type. Thanks to the large amount of observational data for these two comets, we tested various models of cometary non-gravitational forces applied to their dynamics. Aims. The goal was to estimate which of non-gravitational perturbations could affect the stability of retrograde bodies. In principle, we study the local stability by measuring the divergence of nearby orbits. Methods. We numerically determined Lyapunov characteristic indicators (LCI) and the associated Lyapunov times (LT). This time, our calculations of these parameters were extended by more advanced models of non-gravitational perturbations (i.e. Yarkovsky drift and in selected cases cometary forces). This allowed us to estimate chaos in the Lyapunov sense. Results. We found that the Yarkovsky effect for obliquities of γ = 0 • and γ = 180 • can change the LT substantially. In most cases, for the prograde rotation, we received more stable solutions. Moreover, we confirmed the role of retrograde resonances in this process. Additionally, the studied cometary effects also significantly influence the long-term behaviour of the selected comets. The LT can reach values from 100 to over 1000 years. Conclusions. All of our results indicate that the use of models with non-gravitational effects for retrograde bodies is clearly justified.

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Planar retrograde periodic orbits of the asteroids trapped in two–body mean motion resonances with Jupiter

Kotoulas

Voyatzis

2020

Planetary and Space Science

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How long will asteroids on retrograde orbits survive?

Cited by 13 publications

References 14 publications

Impact of non-gravitational effects on chaotic properties of retrograde orbits

Impact of non-gravitational effects on chaotic properties of retrograde orbits

Impact of non-gravitational effects on chaotic properties of retrograde orbits

Planar retrograde periodic orbits of the asteroids trapped in two–body mean motion resonances with Jupiter

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