Previous works on the divergence of first-order mean-motion resonances (MMRs) have studied in detail the extent of the pericentric and apocentric libration zones of adjacent first-order MMRs, highlighting possible bridges between them in the low eccentricity circular restricted three-body problem. Here, we describe the previous results in the context of periodic orbits and show that the so-called circular family of periodic orbits is the path that can drive the passage between neighbouring resonances under dissipative effects. We illustrate that the circular family can bridge first-order and higher order resonances, while its gaps at first-order MMRs can serve as boundaries that stop transitions between resonances. In particular, for the Sun–asteroid–Jupiter problem, we show that, during the migration of Jupiter in the protoplanetary disc, a system initially evolving below the apocentric branch of a first-order MMR follows the circular family and can either be captured into the pericentric branch of an adjacent first-order MMR if the orbital migration is rapid or in a higher order MMR in case of slow migration. Radial transport via the circular family can be extended to many small body and planetary system configurations undergoing dissipative effects (e.g. tidal dissipation, solar mass-loss, and gas drag).

中文翻译：

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低偏心一阶共振的桥接和间隙

以前关于一阶平均运动共振 (MMR) 发散的工作已经详细研究了相邻一阶 MMR 的近心和离心振动区的范围，突出了它们之间在低偏心圆形受限三体中可能存在的桥梁问题。在这里，我们在周期性轨道的背景下描述了先前的结果，并表明所谓的圆形周期性轨道族是可以在耗散效应下驱动相邻共振之间通过的路径。我们说明圆形族可以桥接一阶和更高阶的共振，而它在一阶 MMR 处的间隙可以作为停止共振之间过渡的边界。特别是对于太阳-小行星-木星问题，我们表明，在木星在原行星盘中的迁移过程中，最初在一级 MMR 的离心分支下方演化的系统遵循圆形家族，如果轨道迁移快速，则可以捕获到相邻一级 MMR 的近心分支中，或者如果轨道迁移缓慢，则可以捕获到更高阶的 MMR移民。通过圆形族的径向传输可以扩展到许多经历耗散效应（例如潮汐耗散、太阳质量损失和气体阻力）的小天体和行星系统配置。