  As the discoveries of more minor bodies in retrograde resonances with giant
planets, such as 2015 BZ509 and 2006 RJ2, our curiosity about the Kozai-Lidov
dynamics inside the retrograde resonance has been sparked. In this study, we
focus on the 3D retrograde resonance problem and investigate how the resonant
dynamics of a minor body impacts on its own Kozai-Lidov cycle. Firstly we
deduce the action-angle variables and canonical transformations that deal with
the retrograde orbit specifically. After obtaining the dominant Hamiltonian of
this problem, we then carry out the numerical averaging process in closed form
to generate phase-space portraits on a $e-\omega$ space. The retrograde 1:1
resonance is particularly scrutinized in detail, and numerical results from a
CRTBP model shows a great agreement with the our semi-analytical portraits. On
this basis, we inspect two real minor bodies currently trapped in retrograde
1:1 mean motion resonance. It is shown that they have different Kozai-Lidov
states, which can be used to analyze the stability of their unique resonances.
In the end, we further inspect the Kozai-Lidov dynamics inside the 2:1 and 2:5
retrograde resonance, and find distinct dynamical bifurcations of equilibrium
points on phase-space portraits.
