The resonant structure of Jupiter's Trojan asteroids - I. Long-term stability and diffusion

Robutel, Philippe; Gabern, Frederic

doi:10.1111/j.1365-2966.2006.11008.x

Cited by 111 publications

(104 citation statements)

References 51 publications

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“…6, middle) has been obtained by integrating the complete system, but without taking the direct perturbations of Saturn, Uranus, and Neptune into account on the motion of the satellite. The orbit of the Sun is thus quasi-periodic, and its frequencies can be found for example in Applegate et al (1986), Carpino et al (1987), or Robutel & Gabern (2006). Resonances can now be created between the frequencies of the satellites and all the frequencies of the outer Solar System contained in the spectrum of the motion of the Sun.…”

Section: The Retrograde Regionmentioning

confidence: 99%

“…Stability maps are commonly used to study dynamical systems, and they allow a general understanding of their resonant structure by highlighting chaotic and stable zones. Aside from their use in many other physical domains, stability maps have been used in celestial mechanics to study the dynamics of various objects like asteroids , binary asteroids (Breiter et al 2005), Trojans asteroids (Robutel & Gabern 2006), satellites (Callegari & Yokoyama 2010), planets of the Solar System (Michtchenko & Ferraz-Mello 2001), or extrasolar planetary systems (Érdi et al 2004). …”

Section: Stability Mapsmentioning

confidence: 99%

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The long-term dynamics of the Jovian irregular satellites

Frouard

Vienne

Fouchard

2011

A&A

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Context. The dynamical region of the Jovian irregular satellites presents an interesting web of resonances that are not yet fully understood. Of particular interest is the influence of the resonances on the stochasticity of the individual orbits of the satellites, as well as on the long-term chaotic diffusion of the different families of satellites. Aims. We make a systematic numerical study of the satellite region to determine the important resonances for the dynamics, to search for the chaotic zones, and to determine their influences on the dynamics of the satellites. We also compare these numerical results to previous analytical works. Methods. Using extensive numerical integrations of the satellites along with an indicator of chaos (MEGNO), we show global and detailed views of the retrograde and prograde regions for various dynamical models of increasing complexity and indicate the appearance of the different types of resonances and the implied chaos. Results. Along with secular and mean motion resonances that shape the dynamical regions of the satellites, we report a number of resonances involving the Great Inequality, and which are present in the system thanks to the wide range of the values of frequencies of the pericenter available for the satellites. The chaotic diffusion of the satellites is also studied and shows the long-term stability of the Ananke and Carme families, in contrast to the Pasiphae family.

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Section: The Retrograde Regionmentioning

confidence: 99%

Section: Stability Mapsmentioning

confidence: 99%

The long-term dynamics of the Jovian irregular satellites

Frouard

Vienne

Fouchard

2011

A&A

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“…While the Trojan swarms slowly dissipate (see e.g., Levison et al 1997;Robutel & Gabern 2006) among all sizes, fragment from collisions can have orbital elements that differ significantly from the parent bodies and the smaller fragments are generally affected the most (Marzari et al 1995). The lower semimajor axis limit for tadpole orbits is around a = 4.95 AU, while horseshoe orbits exists from this limit down to at least a = 4.8 AU.…”

Section: Bias Beyond the Completion Limitmentioning

confidence: 99%

On the observational bias of the Trojan swarms

Karlsson¹

2010

A&A

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Aims. I investigate whether the Trojan swarms are observationally biased and place a completion limit on their absolute magnitude. Methods. Observations including Trojans from a number of observation sites are cross-checked with orbital integration of known Trojans and a set of fictitious Trojan orbits. Results. The completion limit for the Trojans swarms can be set to be H = 11.5 mag. The L 5 swarm is 71% of the L 4 size down to this limit. It is not likely that any existing set of orbital elements can have escaped detections. However, parts of the orbital element space, especially in the inclination, are biased for Trojans fainter than the completion limit. In the absolute magnitude interval 11.5−13 mag, 65% of new objects should have inclinations 15−40 • , while this inclination interval currently contains 49% of Trojans in the complete interval 9.5−11.5 mag. Trojans fainter than an absolute magnitude of 13 mag are also clearly biased in the ascending node at values coinciding with the Milky Way.

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“…In PL08a, the locations of the two main secular frequencies associated with the precession of perihelia of Jupiter and Saturn (known as g 5 and g 6 frequencies in the Solar system) were calculated using the frequency analysis of Laskar (1990; see also Robutel & Gabern 2006). The result of g = g 5 (when applying Eq.…”

Section: The Planar Jupiter-saturn Systemmentioning

confidence: 99%

The role of dynamics on the habitability of an Earth-like planet

Pilat-Lohinger

2014

International Journal of Astrobiology

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From the numerous detected planets outside the Solar system, no terrestrial planet comparable to our Earth has been discovered so far. The search for an Exo-Earth is certainly a big challenge which may require the detections of planetary systems resembling our Solar system in order to find life like on Earth. However, even if we find Solar system analogues, it is not certain that a planet in Earth position will have similar circumstances as those of Earth. Small changes in the architecture of the giant planets can lead to orbital perturbations which may change the conditions of habitability for a terrestrial planet in the habitable zone (HZ). We present a numerical investigation where we first study the motion of test-planets in a particular Jupiter-Saturn configuration for which we can expect strong gravitational perturbations on the motion at Earth position according to a previous work. In this study, we show that these strong perturbations can be reduced significantly by the neighboring planets of Earth. In the second part of our study we investigate the motion of test-planets in inclined Jupiter-Saturn systems where we analyze changes in the dynamical behavior of the inner planetary system. Moderate values of inclination seem to counteract the perturbations in the HZ while high inclinations induce more chaos in this region. Finally, we carry out a stability study of the actual orbits of Venus, Earth and Mars moving in the inclined Jupiter-Saturn systems for which we used the Solar system parameters. This study shows that the three terrestrial planets will only move in low-eccentric orbits if Saturn's inclination is ≤ 10 o . Therefore, it seems that it is advantageous for the habitability of Earth when all planets move nearly in the same plane.

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The resonant structure of Jupiter's Trojan asteroids - I. Long-term stability and diffusion

Cited by 111 publications

References 51 publications

The long-term dynamics of the Jovian irregular satellites

The long-term dynamics of the Jovian irregular satellites

On the observational bias of the Trojan swarms

The role of dynamics on the habitability of an Earth-like planet

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