  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_1
\Delta \varpi + b_2 \Delta \Omega $, 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 $b_1+|b_2|\le 3$
persist, while even higher order resonances, up to $b_1+|b_2|\ge 7$, survive.
Depending on the mass, between $10\%-60\%$ of the integrated test particles are
captured in these secular resonances, in agreement with the phase space
analysis in the semianalytical model.
