Secular resonances between bodies on close orbits: a case study of the Himalia prograde group of jovian irregular satellites

The gravitational interaction between two objects on similar orbits can effect noticeable changes in the orbital evolution even if the ratio of their masses to that of the central body is vanishingly small. Christou (Icarus 174:215–229, 2005 ) observed an occasional resonant lock in the differential...

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Bibliographic Details
Published in:Celestial mechanics and dynamical astronomy 2016-06, Vol.125 (2), p.133-160
Main Authors: Li, Daohai, Christou, Apostolos A.
Format: Article
Language:English
Subjects:
Aerospace Technology and Astronautics
Astronomy
Astrophysics and Astroparticles
Classical Mechanics
Dynamical systems
Dynamical Systems and Ergodic Theory
Eccentricity
Geophysics/Geodesy
Himalia
Inclination
Jupiter satellites
Orbits
Original Article
Oscillations
Physics
Physics and Astronomy
Planets
Resonance
Solar system
Statistics
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Summary:The gravitational interaction between two objects on similar orbits can effect noticeable changes in the orbital evolution even if the ratio of their masses to that of the central body is vanishingly small. Christou (Icarus 174:215–229, 2005 ) observed an occasional resonant lock in the differential node Δ Ω between two members in the Himalia irregular satellite group of Jupiter in the N -body simulations (corresponding mass ratio ∼ 10 - 9 ). Using a semianalytical approach, we have reproduced this phenomenon. We also demonstrate the existence of two additional types of resonance, involving angle differences Δ ω and Δ ( Ω + ϖ ) between two group members. These resonances cause secular oscillations in eccentricity and/or inclination on timescales ∼ 1 Myr. We locate these resonances in ( a ,  e ,  i ) space and analyse their topological structure. In subsequent N -body simulations, we confirm these three resonances and find a fourth one involving Δ ϖ . In addition, we study the occurrence rates and the stability of the four resonances from a statistical perspective by integrating 1000 test particles for 100 Myr. We find ∼ 10 to 30 librators for each of the resonances. Particularly, the nodal resonance found by Christou is the most stable: 2 particles are observed to stay in libration for the entire integration.
ISSN:0923-2958
1572-9478
DOI:10.1007/s10569-016-9676-1