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- W2998491029 abstract "We present the dynamical structure of the phase space of the planar planetary 2/1 mean-motion resonance (MMR). Inside the resonant domain, there exist two families of periodic orbits, one asso- ciated to the librational motion of the critical angle (σ-family) and the other related to the circulatory motion of the angle between the peri- centres (�-family). The well-known apsidal corotation resonances (ACR) appear at the intersections of these families. A complex web of secondary resonances exists also for low eccentricities, whose strengths and positions are dependent on the individual masses and spatial scale of the system. Depending on initial conditions, a resonant system is found in one of the two topologically different states, referred to as internal and external resonances. The internal resonance is characterized by sym- metric ACR and its resonant angle is 2λ2 − λ1 − 1, where λi and i stand for the planetary mean longitudes and longitudes of pericen- tre, respectively. In contrast, the external resonance is characterized by asymmetric ACR and the resonant angle is 2λ2 − λ1 − 2. We show that systems with more massive outer planets always envolve in- side internal resonances. The limit case is the well-known asteroidal resonances with Jupiter. At variance, systems with more massive in- ner planets may evolve in either internal or external resonances; the internal resonances are typical for low-to-moderate eccentricity config- urations, whereas the external ones for high eccentricity configurations of the systems. In the limit case, analogous to Kuiper belt objects in resonances with Neptune, the systems are always in the external resonances characterized by asymmetric equilibria." @default.
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- W2998491029 date "2011-01-01" @default.
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- W2998491029 title "The periodic and chaotic regimes of motion in the exoplanet 2/1 mean-motion resonance" @default.
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