This paper is the second part of a study initiated by Mortada et al. (2020), where we have considered the rolling (or development) of two Riemannian connected manifolds (M,g) and \((\hat {M},\hat {g})\) of dimensions 2 and 3, respectively, with the constraints of no-spinning and no-slipping. In the work of Mortada et al. (Acta Appl Math, 139:105131, 2015), the general setting of the rolling of two Riemannian connected manifolds with different dimensions has been modeled as a driftless control affine system on a fibered space Q of dimension eight with special attention on understanding the local structure of the rolling orbits, i.e., the reachable sets in Q. In the present paper, we pursue our investigations on the structure of non-open orbits and we precisely describe the second possible local structure of rolling orbits of dimension 5.

本文是 Mortada 等人发起的一项研究的第二部分。(2020)，我们已经考虑了两个黎曼连通流形 ( M , g ) 和\((\hat {M},\hat {g})\)的滚动（或发展），分别为维度 2 和 3，具有无旋转和无滑动的约束。在 Mortada 等人的工作中。(Acta Appl Math, 139:105131, 2015)，两个不同维数的黎曼连通流形的滚动的一般设置被建模为一个无漂移控制仿射系统，在一个8 维的纤维空间Q上，特别注意理解局部滚动轨道的结构，即Q 中的可达集. 在本文中，我们继续研究非开放轨道的结构，并精确描述了维度 5 滚动轨道的第二种可能的局部结构。