We describe the families of periodic orbits in the 2-dimensional 1/2 retrograde resonance at mass ratio \(10^{-3}\), analyzing their stability and bifurcations into 3-dimensional periodic orbits. We explain the role played by periodic orbits in adiabatic resonance capture, in particular how the proximity between a stable family and an unstable family with a nearly critical segment, associated with Kozai separatrices, determines the transition between distinct resonant modes observed in numerical simulations. Combining the identification of stable, critical and unstable periodic orbits with analytical modeling, resonance capture simulations and computation of stability maps helps to unveil the complex 3-dimensional structure of resonances.

我们描述了质量比为\（10 ^ {-3} \）的二维1/2逆向共振中的周期轨道族，分析了它们的稳定性和分叉为3维周期轨道。我们解释了周期性轨道在绝热共振捕获中的作用，特别是稳定家庭和具有近临界段的不稳定家庭之间的接近度如何与Kozai分离相关联，如何确定数值模拟中观察到的不同共振模式之间的过渡。将稳定，关键和不稳定周期轨道的识别与分析模型，共振捕获模拟和稳定性图的计算相结合，有助于揭示共振的复杂3维结构。