Atlas of three body mean motion resonances in the Solar System

Gallardo, Tabaré

doi:10.1016/j.icarus.2013.12.020

Cited by 46 publications

(41 citation statements)

References 22 publications

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“…The duration of these episodes is short, typically 10-20 kyr in the cases of captures as co-orbitals or ejections from the co-orbital zone, and about 5 kyr when inducing transitions between the various co-orbital states (see Figs 6 and 7). The dynamical effects of three-body mean motion resonances have been studied recently by Gallardo (2014). …”

Section: Discussionmentioning

confidence: 99%

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: Discussionmentioning

confidence: 99%

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

Marcos¹,

Marcos²

2017

Mon. Not. R. Astron. Soc.

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“…In analogy to 2BRs, following this method, it was possible to construct an atlas of 3BRs in the Solar System. The 3BRs involving Jupiter and Saturn account for several peaks of the histogram of proper a in figure 1 which are not related to 2BRs (Gallardo, 2014). Even if the 3BRs are very weak, the dynamics they can produce are very rich and still poorly understood.…”

Section: Three-body Resonances and More Planets Come Into Playmentioning

confidence: 98%

“…In order to obtain a practical tool for studying the 3BRs in the space of all orbital parameters Gallardo (2014) proposed a semianalytical method to estimate the resonant disturbing function R(σ) and the resonance's strength. In analogy to 2BRs, following this method, it was possible to construct an atlas of 3BRs in the Solar System.…”

Section: Three-body Resonances and More Planets Come Into Playmentioning

confidence: 99%

Resonances in the asteroid and trans–Neptunian belts: A brief review

Gallardo

2018

Planetary and Space Science

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Mean motion resonances play a fundamental role in the dynamics of the small bodies of the Solar System. The last decades of the 20th century gave us a detailed description of the dynamics as well as the process of capture of small bodies in coplanar or small inclination resonant orbits. More recently, semianalytical or numerical methods allowed us to explore the behavior of resonant motions for arbitrary inclination orbits. The emerging dynamics is very rich, including large orbital changes due to secular effects inside mean motion resonances. The process of capture in highly inclined or retrograde resonant orbits was addressed showing that the capture in retrograde resonances is more efficient than in direct ones. A new terminology appeared in order to characterize the properties of the resonances. Numerical explorations in the transneptunian region showed the relevance and the particular dynamics of the exterior resonances with Neptune which can account for some of the known high perihelion orbits in the scattered disk. Moreover, several asteroids evolving in resonance with planets other than Jupiter or Neptune were found and a large number of asteroids in three-body resonances were identified.

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“…Eqn (1) below) the configuration closest to this 1:4S:10J resonance location is 2-1J+2S, for which the semi-major axis a takes the value an=24.41 au. Using the code developed by Gallardo (2014), available at www.fisica.edu.uy/∼gallardo/atlas, we recalculate all the possible lower-order resonances: order of resonance q≤10 for a=23 to 26 au with degree p ≤ 20 for the nominal e=0.95, i=113…”

Section: Separation Of 3-body and 2-body Resonancesmentioning

confidence: 99%

Three-body resonance in meteoroid streams

Sekhar

Asher

Vaubaillon

2016

Mon. Not. R. Astron. Soc.

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Mean-motion resonances play an important role in the evolution of various meteoroid streams. Previous works have studied the effects of two-body resonances in different comets and streams. These already established two-body resonances were mainly induced either by Jovian or Saturnian effects but not both at the same time. Some of these resonances have led to spectacular meteor outbursts and storms in the past. In this work, we find a new resonance mechanism involving three bodies -i.e. meteoroid particle, Jupiter and Saturn, in the Perseid meteoroid stream. Long-term three-body resonances are not very common in real small bodies in our solar system although they can mathematically exist at many resonant sweet spots in an abstract sense in any dynamical system. This particular resonance combination in the Perseid stream is such that it is close to the ratio of 1:4:10 if the orbital periods of Perseid particle, Saturn and Jupiter are considered respectively. These resonant Perseid meteoroids stay resonant for typically about 2 kyr. Highly compact dust trails due to this unique resonance phenomenon are present in our simulations. Some past and future years are presented where three-body resonant meteoroids of different sizes (or subject to different radiation pressures) are computed to come near the Earth. This is the first theoretical example of an active and stable three-body resonance mechanism in the realm of meteoroid streams.

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Atlas of three body mean motion resonances in the Solar System

Cited by 46 publications

References 22 publications

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

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

Resonances in the asteroid and trans–Neptunian belts: A brief review

Three-body resonance in meteoroid streams

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