Three dimensional structure of mean motion resonances beyond Neptune. (arXiv:1912.04676v1 [astro-ph.EP])
<a href="http://arxiv.org/find/astro-ph/1/au:+Gallardo_T/0/1/0/all/0/1">Tabare Gallardo</a>
We propose a semianalytical method for the calculation of widths, libration
centers and small amplitude libration periods of the mean motion resonances
k_p:k in the framework of the circular restricted three body problem valid for
arbitrary eccentricities and inclinations. Applying the model to the trans
Neptunian region (TNR) we obtain several atlas of resonances between 30 and 100
au showing their domain in the plane (a,e) for different orbital inclinations.
The resonance width may change substantially when varying the argument of the
perihelion of the resonant object and in order to take into account these
variations we introduce the concept of resonance fragility. Resonances 1:k and
2:k are the widest, strongest, most isolated ones and with lower fragility for
all interval of inclinations and eccentricities. We discuss about the existence
of high k_p:k resonances. We analyze the distribution of the resonant
populations inside resonances 1:1, 2:3, 3:5, 4:7, 1:2 and 2:5. We found that
the populations are in general located near the regions of the space (e,i)
where the resonances are wider and less fragile with the notable exception of
the population inside the resonance 4:7 and in a lesser extent the population
inside 3:5 which are shifted to lower eccentricities.
We propose a semianalytical method for the calculation of widths, libration
centers and small amplitude libration periods of the mean motion resonances
k_p:k in the framework of the circular restricted three body problem valid for
arbitrary eccentricities and inclinations. Applying the model to the trans
Neptunian region (TNR) we obtain several atlas of resonances between 30 and 100
au showing their domain in the plane (a,e) for different orbital inclinations.
The resonance width may change substantially when varying the argument of the
perihelion of the resonant object and in order to take into account these
variations we introduce the concept of resonance fragility. Resonances 1:k and
2:k are the widest, strongest, most isolated ones and with lower fragility for
all interval of inclinations and eccentricities. We discuss about the existence
of high k_p:k resonances. We analyze the distribution of the resonant
populations inside resonances 1:1, 2:3, 3:5, 4:7, 1:2 and 2:5. We found that
the populations are in general located near the regions of the space (e,i)
where the resonances are wider and less fragile with the notable exception of
the population inside the resonance 4:7 and in a lesser extent the population
inside 3:5 which are shifted to lower eccentricities.
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