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This work focuses on the creation of a selenocentric satellite simulation navigation system (SSSNS) using a set of reference objects on the lunar surface. The latter is based on the data from the modern space missions ?LRO?, ?Clementine?, ?GRAIL? (all ? NASA, USA), ?SELENE? (JAXA, Japan), and ?SMART-1? (European Space Agency). The SSSNS was created to transform measurements taken from in-orbit satellite into the selenocentric inertial reference system. The measurements should be taken by on-board altimeter and las...

This work focuses on the use of projective geometry methods to determine star positions produced on the basis of positional observations. As is known, projective geometry studies invariant projective transformations. The main feature of projective geometry is the principle of duality, which adds elegant symmetry to many designs. While the properties of the figures that Euclidean geometry deals with are metric, but there are figures that can be converted into one another by movement while maintaining the metric pro...