Exoplanets around pulsars

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Scientific paper

Surprise discovery of thrid planets and cometary body (!?) near the pulsar PSR~B1257+12 (Wolszczan and Frail, 1992) posed the problems of describing their moving around pulsar, their origin and early rotation. At the present time the question whether there exist another three pulsars in the planetary systems is under discussion: PSR 0329+54 (1 planet), PSR B1620--26 (1 planet) and PSR 1828--11 (3 planets, Stairs et al., 2000) . It is known the time scale of pulsars is very stable, then in some cases the periodical fluctuation in time of arrival may be provoked motion of planetary bodies, free precession or concerned with the interior of the neutron star. Discovery exoplanets around PSR~B1257+12 gave strong push for search and investigate planets around neutron stars. Dust disks around stars still retain information about the formation processes of the exoplanetary systems as they are formed by collisions of planetesimals or protoplanets.The conventional explanation for the formation gas giant planets, core accretion, presumes that a gaseous envelope collapses upon a roughly 10 M⊕, solid core that was formed by the collisional accumulation of planetary embryos orbiting in a gaseous disk (Boss, 2002). Small protoplanets torque the disk at the Lindblad and corotation resonances, and the resulting back-torque can propel a planet into the star (Ward, 1997). We investigate the equations of the magneto-rotational instability of the Keplerian disk in linear approximation by qualitative and bifurcation methods. The separation of 3-dimensional parameter space of dynamical system by bifurcation surfaces is obtained. The obtained gallery of more ten phase portraits of disk evolution illustrates the various regimes of the planetary systems evolution. Investigation of a matter around young pulsars will allow us to answer about a possibility of birth of planets after explosion of a supernova star.

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