ИСТИНА

During last 40 years the sphere was as reference surface by Solar system bodies mapping (the Moon, Mercury, Venus, Mars). At the present time it is possible to discuss of applying ellipsoid instead of sphere for the Moon and Mars. Except terrestrial group planets and their moons it is also actual mapping of asteroids and comet nucleus. Investigations made by Canadian scientists on the asteroid map development have as a main goal the real modelling of body shape. In this case the maps have the approximate character. The question about exact mathematical basis for these bodies is not worked out enough. Simultaneously with the problem of the projection theory and methods for spherical bodies it is in an anology the same question concerning non-spherical bodies. In order to save the possibility of study the form and morphology of investigated surface it can be used trend surface. For construction trend surface it is possible to use various polynomials, splines etc. Now the developed cartographical projections of real surfaces of Solar system bodies include mainly perspective azimuthal projections. For this purpose it can be used pseudo-cylindrical and conic modified projections also. As an example we present the calculation of transverse orthographic projection for the model of a real surface of Phobos.