Abstract
We study here the local minima, maxima, and saddle points of the augmented potential on the surface of a small celestial body with application to comet (67P) Churyumov-Gerasimenko. The isolines of the augmented potential on this surface are determined, in particular, those corresponding to the saddle points. The results are applied to reveal the correlation between the structure of the areas of possible motion on the comet surface and geographic objects on this surface previously defined in the course of the Rosetta mission. • The augmented potential on the surface of a small celestial body is studied. • Its local minima, maxima, and saddle points are identified for comet (67P) Churyumov-Gerasimenko. • Analysis of the isolines of augmented potential reveal the structure of the areas of possible notion on the comet surface. • The results are compares with the distribution of geographic objects on this surface identified by the Rosetta mission.
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