Secular resonances between bodies on close orbits II: prograde and retrograde orbits for irregular satellites

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Abstract

In extending the analysis of the four secular resonances between close orbits in Li and Christou (Celest Mech Dyn Astron 125:133–160, 2016) (Paper I), we generalise the semianalytical model so that it applies to both prograde and retrograde orbits with a one-to-one map between the resonances in the two regimes. We propose the general form of the critical angle to be a linear combination of apsidal and nodal differences between the two orbits b1Δ ϖ+ b2Δ Ω, forming a collection of secular resonances in which the ones studied in Paper I are among the strongest. Test of the model in the orbital vicinity of massive satellites with physical and orbital parameters similar to those of the irregular satellites Himalia at Jupiter and Phoebe at Saturn shows that > 20 and > 40 % of phase space is affected by these resonances, respectively. The survivability of the resonances is confirmed using numerical integration of the full Newtonian equations of motion. We observe that the lowest order resonances with b1+ | b2| ≤ 3 persist, while even higher-order resonances, up to b1+ | b2| ≥ 7 , survive. Depending on the mass, between 10 and 60% of the integrated test particles are captured in these secular resonances, in agreement with the phase space analysis in the semianalytical model.

Detaljer

Författare
Externa organisationer
  • Armagh Observatory
  • Queen's University Belfast
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Astronomi, astrofysik och kosmologi

Nyckelord

Originalspråkengelska
TidskriftCelestial Mechanics and Dynamical Astronomy
Volym129
Utgåva nummer1-2
StatusPublished - 2017 sep 1
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa