Atlas of the mean motion resonances in the Solar System

Gallardo, Tabaré

doi:10.1016/j.icarus.2006.04.001

Cited by 135 publications

(185 citation statements)

References 20 publications

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“…This dynamical response is characteristic of Uranian Trojans and it was first predicted by Gallardo (2006) 99 and it confirms that, during its current Trojan episode, 2014 YX 49 is simultaneously trapped in the 7:20 mean motion resonance with Saturn. The resonant argument σ S alternates between circulation and asymmetric libration because the motion is chaotic.…”

Section: Stability Analysissupporting

confidence: 75%

Asteroid 2014 YX$_\mathbf {49}$: a large transient Trojan of Uranus

Marcos¹,

Marcos²

2017

Mon. Not. R. Astron. Soc.

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In the outer Solar system, primordial Trojan asteroids may have remained dynamically stable for billions of years. • 83), is larger (absolute magnitude of 8.5 versus 9.7) and its libration period is slightly shorter (5.1 versus 5.9 kyr); contrary to 2011 QF 99 , its discovery was not the result of a targeted survey. It is less stable than 2011 QF 99 ; our extensive N-body simulations show that 2014 YX 49 may have been following a tadpole trajectory ahead of Uranus for about 60 kyr and it can continue doing so for another 80 kyr. Our analysis suggests that it may remain as co-orbital for nearly 1 Myr. As in the case of 2011 QF 99 , the long-term stability of 2014 YX 49 is controlled by Jupiter and Neptune, but it is currently trapped in the 7:20 mean motion resonance with Saturn. Consistently, the dynamical mechanism leading to the capture into and the ejection from the Trojan state involves ephemeral multibody mean motion resonances.

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Section: Stability Analysissupporting

confidence: 75%

Asteroid 2014 YX$_\mathbf {49}$: a large transient Trojan of Uranus

Marcos¹,

Marcos²

2017

Mon. Not. R. Astron. Soc.

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“…Objects on the lower a and q sides of the "extreme" region have clones showing stable resonant behavior with Neptune ( Figure 5, blue labels). For example, 2000 CR 105 (a = 224.8 au, q = 44.3 au) shows insecure occupation in the 20:1 resonance, as has been long suspected (Gallardo 2006), and some clones of 2013 GP 136 (a = 150.2 au, q = 41.0 au) librate in a variety of highorder resonances with Neptune. As seen among the phase space occupied by known extreme TNOs in Figure 5, the processes leading to high-order resonance occupation, and of diffusion, show a gradual overlap between their respective regions of dominance.…”

Section: Diffusion As a Way To Populate The Orbital Phase Space Of Exmentioning

confidence: 91%

OSSOS. V. Diffusion in the Orbit of a High-perihelion Distant Solar System Object

Bannister¹,

Shankman²,

Volk³

et al. 2017

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We report the discovery of the minor planet 2013 SY 99 on an exceptionally distant, highly eccentric orbit. With a perihelion of 50.0au, 2013 SY 99 's orbit has a semimajor axis of 730±40au, the largest known for a highperihelion trans-Neptunian object (TNO), and well beyond those of (90377) Sedna and 2012 VP 113 . Yet, with an aphelion of 1420±90au, 2013 SY 99 's orbit is interior to the region influenced by Galactic tides. Such TNOs are not thought to be produced in the current known planetary architecture of the solar system, and they have informed the recent debate on the existence of a distant giant planet. Photometry from the Canada-France-Hawaii Telescope, Gemini North, and Subaru indicate 2013 SY 99 is ∼250km in diameter and moderately red in color, similar to other dynamically excited TNOs. Our dynamical simulations show that Neptune's weak influence during 2013 SY 99 's perihelia encounters drives diffusion in its semimajor axis of hundreds of astronomical units over 4Gyr. The overall symmetry of random walks in the semimajor axis allows diffusion to populate 2013 SY 99 's orbital parameter space from the 1000 to 2000au inner fringe of the Oort cloud. Diffusion affects other known TNOs on orbits with perihelia of 45 to 49au and semimajor axes beyond 250au. This provides a formation mechanism that implies an extended population, gently cycling into and returning from the inner fringe of the Oort cloud.

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“…The minima of this function define the stable equilibrium points, i.e. libration centers around which appear librations, while the maxima define the unstable equilibrium points (Gallardo, 2006).…”

Section: Theorymentioning

confidence: 99%

2002 AA29: Earth's recurrent quasi-satellite?

Wajer¹

2009

Icarus

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We study the dynamical evolution of asteroid 2002 AA 29 . This object moves in the co-orbital region of the Earth and is the first known asteroid which experiences We distinguish a few moments in time crucial for understanding its dynamics. Near 2400 and 2500 this object will be close to going through the maxima of the averaged disturbing function and it will either change its co-orbital regime by transition from the HS into QS state, or leave the librating mode. These approaches generate instability in the motion of 2002 AA 29 . By means of 66 observations, covering a two-year interval, we extend the analysis of the long term evolution of this object presented by Connors et al. (2002) and Brasser et al. (2004a). Our analysis is based on a sample of 100 cloned orbits. We show that the motion of 2002 AA 29 is predictable in the time interval [−2600, 7100] and outside of this interval the past and future orbital history can be studied using statistical methods.

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Atlas of the mean motion resonances in the Solar System

Cited by 135 publications

References 20 publications

Asteroid 2014 YX$_\mathbf {49}$: a large transient Trojan of Uranus

Asteroid 2014 YX$_\mathbf {49}$: a large transient Trojan of Uranus

OSSOS. V. Diffusion in the Orbit of a High-perihelion Distant Solar System Object

2002 AA29: Earth's recurrent quasi-satellite?

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