DE FALCO, Vittorio and Pavel BAKALA. Stable attractors in the three-dimensional general relativistic Poynting-Robertson effect. Physical Review D. 2020, vol. 101, No 2, p. "024025-1"-"024025-12", 12 pp. ISSN 2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.101.024025.
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Basic information
Original name Stable attractors in the three-dimensional general relativistic Poynting-Robertson effect
Authors DE FALCO, Vittorio (380 Italy, belonging to the institution) and Pavel BAKALA (203 Czech Republic, belonging to the institution).
Edition Physical Review D, 2020, 2470-0010.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/20:A0000039
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1103/PhysRevD.101.024025
UT WoS 000505990900003
Keywords in English STABILITY
Tags EF16_027-0008521, FÚ, FÚ2020, GA17-16287S, RIV21, SGS13-2019
Tags International impact, Reviewed
Links EF16_027/0008521, research and development project. GA17-16287S, research and development project.
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 13/9/2022 08:57.
Abstract
We prove the stability of the critical hypersurfaces associated with the three-dimensional general relativistic Poynting-Robertson effect. The equatorial ring configures to be as a stable attractor and the whole critical hypersurface as a basin of attraction for this dynamical system. We introduce a new, simpler (in terms of calculations), and more physical approach within the Lyapunov theory. We propose three different Lyapunov functions, each one carrying important information and very useful for understanding such phenomenon under different aspects.
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