We find the existence conditions of unduloidal and nodoidal menisci between two solid spheres and study their stability under axisymmetric perturbations in the framework of non-spectral theory of stability of axisymmetric menisci between two axisymmetric solid bodies in the absence of gravity.
Boris Rubinstein. Leonid Fel. "Stability of Unduloidal and Nodoidal Menisci Between Two Solid Spheres." J. Geom. Symmetry Phys. 39 77 - 98, 2015. https://doi.org/10.7546/jgsp-39-2015-77-98