Resonance Properties of Extra-Solar Two-Planet Systems / Kuznetsov E. D. // ASTRONOMY REPORTS. - 2010. - V. 54, l. 6. - P. 550-561.

ISSN/EISSN:
1063-7729 / нет данных
Type:
Article
Abstract:
The properties of the distribution of resonance zones in the two-planet problem are analyzed as a function of the semi-major axes and masses of the planets on cosmogonic time scales. A solution to equations averaged using the Hori-DePrit method with accuracy to second order in the small parameter of the problem is used, and the translation from the averaged to the osculating elements taken into account. Conditions for the overlap of resonance zones are obtained. It is shown that motion of pairs of planets in the extrasolar planetary systems HD 73526, 47 UMa, HD 181433 (c-d), GJ 581 (b-c), and HD 155358 can occur in regions of resonance overlap. The orbital evolution of the two-planet system 47 UMa is analyzed in the absence of resonance, in the vicinity of the 1: 2, 3: 7, 2: 5, 3: 8,1: 3, and 1: 7 resonances when the initial data correspond to a region of wide resonance, and in regions of overlap of wide-resonance zones. The possibility of chaotic motions of the planets in the 47 UMa system is demonstrated.
Author keywords:
47 URSAE-MAJORIS; PLANETARY SYSTEMS; POISSON SERIES; EXPANSION; STABILITY; ELEMENTS
DOI:
10.1134/S1063772910060089
Web of Science ID:
ISI:000279192000008
Соавторы в МНС:
Другие поля
Поле Значение
Month JUN
Publisher MAIK NAUKA/INTERPERIODICA/SPRINGER
Address 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language English
Keywords-Plus 47 URSAE-MAJORIS; PLANETARY SYSTEMS; POISSON SERIES; EXPANSION; STABILITY; ELEMENTS
Research-Areas Astronomy \& Astrophysics
Web-of-Science-Categories Astronomy \& Astrophysics
Funding-Acknowledgement State Support for Leading Scientific Schools of the Russian Federation {[}NSh-1323.2008.2]; Federal Agency on Education of the Ministry of Education and Science of the Russian Federation {[}2.2.3.1/1842, 2.1.1/504]
Funding-Text The author thanks K. V. Kholshevnikov for useful discussions and valuable comments. This work was partially supported by the Program of State Support for Leading Scientific Schools of the Russian Federation (NSh-1323.2008.2) and the Analytical Departmental Targeted Program of the Federal Agency on Education of the Ministry of Education and Science of the Russian Federation ``The Development of the Scientific Potential of Higher Education (2009-2010){''} (projects 2.2.3.1/1842, 2.1.1/504).
Number-of-Cited-References 37
Usage-Count-Since-2013 2
Journal-ISO Astron. Rep.
Doc-Delivery-Number 616EQ