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Early evolution of the planetary system around PSR B1257+12

Published online by Cambridge University Press:  26 May 2016

Alexander Gusev  and
Irina Kitiashvili
Alexander Gusev
Affiliation:
Kazan University, Dpt. of Gravitation, Kremljevskaja Str., 18, Kazan, 420008, Russia E-mail: Alexander.Gusev@ksu.ru
Irina Kitiashvili
Affiliation:
Kazan University, Dpt. Radioelectronics, Kremljevskaja Str., 18, Kazan, 420008, Russia E-mail: Irina.Kitiashvili@ksu.ru

Abstract

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For the plane motion we are completely analyzing the differential equations systems of gravitational capture of the exoplanet at the resonance rotation with action of gravitational and tidal torques by qualitative analysis and bifurcation theory of dynamical systems (DS). The separation of 3-dimensional parameter space of dynamical system by bifurcation surfaces is obtained. The gallery of more than thirty phase portraits of gravitational capture extends the known scenario of cosmogonical evolution of the exoplanet on the early time, when the tidal interaction is very important.

Type
Part II: Progress in the theory of planet formation
Information
Symposium - International Astronomical Union , Volume 202: Planetary Systems in the Universe – Observation, Formation and Evolution , 2004 , pp. 187 - 189
Copyright
Copyright © Astronomical Society of the Pacific 2004 

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