In the frame work of Saturn–Titan system, the resonant orbits of first-order are analyzed for three different families of periodic orbits, namely, interior resonant orbits, exterior resonant orbits and [Formula: see text]-Family orbits. This analysis is developed by considering Saturn as a spherical and oblate body. The initial position, semi-major axis, eccentricity, orbital period and order of resonant orbits of these families are investigated for different values of Jacobi constant and oblateness parameter.

中文翻译：

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周期轨道中的一阶共振

在土星-泰坦系统的框架中，分析了三个不同族的周期轨道的一阶共振轨道，即内共振轨道、外共振轨道和[公式：见正文]-族轨道。该分析是通过将土星视为球形和扁球体而发展起来的。针对不同的雅可比常数和扁率参数值，研究了这些族的初始位置、半长轴、偏心率、轨道周期和共振轨道阶数。