Orbital resonances in exoplanetary systems

Physics

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Scientific paper

Now opening of 88 planetary systems, that include 104 planets: 101 are Jupiter's type near main sequence stars and 3 are terrestrial type near pulsar, has generated huge interest to fundamental questions of cosmogony, to formation and early evolution of Earth-type planets, stability of planetary systems in the extreme conditions, influence gravitational, magnetic fields and tidal effects on formation of resonant structures in the universe. Among all extra-solar planets 41 exoplanets are short-periodic (before 180 days), 35 are middle-periodic and 28 long-periodic (more 1000 days) planets with the revolution periods P are varied from 2.99 days (HD 83443) to 5360 days (55 Cnc); planetary masses therewith lie in the range 0.015 M⊕ (PSR 1257+12) and 11 MJ; the main semi-axes a lie between 0.038 AU (HD 83443) and 5.9 AU (55 Cnc), eccentricity of the planets varies from 0.0 (15 planets) to 0.927 in HD80606; inclination for five planetary systems are 85.20 for HD 209458, 460 for ɛ Eridani, 250 for 55 Cnc, 370 for Gliese 876, 84.30 for BD -10 3166; six planets Ups And, Gl 777A, HD 114783, HR810, HD 27442, HD 28185 circulate in habitable zone a ˜ 0.5 - 3 AU, P ˜ 240 - 500 days, e < 0.2. From known multiplanetary systems we can see class of planetary systems with resonances: HD 82943 (2:1), Gliese 876 (2:1), 55 Cnc (3:1), PSR 1257+12 (2:3), 47 Uma (3:7), HD 12661 (2:11). At the early stages of planet evolution the tidal and magnetic interactions takes a principal role - the tidal effects lead to the capture into resonance rotation of the planet, while the gravi-magnetic interaction shows that a direct rotation of the planet may be passed into reverse rotation and vice versa for a rather broad range of the parameters. We investigate the equations describing the evolution of the kinetic momentum vector for dynamically symmetrical planets by action of gravitational, magnetic and tidal interaction with the central star. The obtained gallery of more twenty phase portraits of kinetic momentum evolution illustrates the various regimes of the planetary systems evolution.

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