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

Li, Daohai LU orcid and Christou, Apostolos A. (2017) In Celestial Mechanics and Dynamical Astronomy 129(1-2).
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... (More)

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.

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author
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publishing date
type
Contribution to journal
publication status
published
subject
keywords
Coorbital interaction, Irregular satellites, N-body simulation, Secular resonances, Solar perturbations
in
Celestial Mechanics and Dynamical Astronomy
volume
129
issue
1-2
publisher
Springer
external identifiers
  • scopus:85017598270
ISSN
0923-2958
DOI
10.1007/s10569-017-9763-y
language
English
LU publication?
no
id
e14cee41-621a-4da9-988a-7e7d0903d368
date added to LUP
2019-04-29 13:32:27
date last changed
2022-04-25 23:01:49
@article{e14cee41-621a-4da9-988a-7e7d0903d368,
  abstract     = {{<p>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 b<sub>1</sub>Δ ϖ+ b<sub>2</sub>Δ 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 &gt; 20 and &gt; 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 b<sub>1</sub>+ | b<sub>2</sub>| ≤ 3 persist, while even higher-order resonances, up to b<sub>1</sub>+ | b<sub>2</sub>| ≥ 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.</p>}},
  author       = {{Li, Daohai and Christou, Apostolos A.}},
  issn         = {{0923-2958}},
  keywords     = {{Coorbital interaction; Irregular satellites; N-body simulation; Secular resonances; Solar perturbations}},
  language     = {{eng}},
  month        = {{09}},
  number       = {{1-2}},
  publisher    = {{Springer}},
  series       = {{Celestial Mechanics and Dynamical Astronomy}},
  title        = {{Secular resonances between bodies on close orbits II : prograde and retrograde orbits for irregular satellites}},
  url          = {{http://dx.doi.org/10.1007/s10569-017-9763-y}},
  doi          = {{10.1007/s10569-017-9763-y}},
  volume       = {{129}},
  year         = {{2017}},
}