A numerical investigation of coorbital stability and libration in three dimensions

Autor: M. H. M. Morais, Fathi Namouni
Přispěvatelé: Universidade Estadual Paulista (Unesp), Univ Cote Azur, Joseph Louis LAGRANGE (LAGRANGE), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Observatoire de la Côte d'Azur, Université Côte d'Azur (UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Solar System
010504 meteorology & atmospheric sciences
FOS: Physical sciences
Resonance trapping
01 natural sciences
Stability (probability)
Resonance
Planet
0103 physical sciences
Libration
Three-body problem
010303 astronomy & astrophysics
Mathematical Physics
ComputingMilieux_MISCELLANEOUS
0105 earth and related environmental sciences
Physics
Earth and Planetary Astrophysics (astro-ph.EP)
Mathematics::Functional Analysis
Co-orbital resonance
Applied Mathematics
Astronomy and Astrophysics
Retrograde resonances
16. Peace & justice
Computational Mathematics
Classical mechanics
Space and Planetary Science
Modeling and Simulation
Kozai-Lidov mechanism
Polar
Astrophysics::Earth and Planetary Astrophysics
[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]
Astrophysics - Earth and Planetary Astrophysics
Zdroj: Web of Science
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Celestial Mechanics and Dynamical Astronomy
Celestial Mechanics and Dynamical Astronomy, Springer Verlag, 2016, 125 (1), pp.91-106. ⟨10.1007/s10569-016-9674-3⟩
ISSN: 0923-2958
1572-9478
DOI: 10.1007/s10569-016-9674-3⟩
Popis: Motivated by the dynamics of resonance capture, we study numerically the coorbital resonance for inclination180 >=I>=0 in the circular restricted three-body problem. We examine the similarities and differences between planar and three dimensional coorbital resonance capture and seek their origin in the stability of coorbital motion at arbitrary inclination. After we present stability maps of the planar prograde and retrograde coorbital resonances, we characterize the new coorbital modes in three dimensions. We see that retrograde mode I (R1) and mode II (R2) persist as we change the relative inclination, while retrograde mode III (R3) seems to exist only in the planar problem. A new coorbital mode (R4) appears in 3D which is a retrograde analogue to an horseshoe-orbit. The Kozai-Lidov resonance is active for retrograde orbits as well as prograde orbits and plays a key role in coorbital resonance capture. Stable coorbital modes exist at all inclinations, including retrograde and polar obits. This result confirms the robustness the coorbital resonance at large inclination and encourages the search for retrograde coorbital companions of the solar system's planets.
accepted for publication in Celestial Mechanics and Dynamical Astronomy
Databáze: OpenAIRE
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