A beam forming apparatus of a satellite is configured to: define a perimeter of a coverage area, and define a coordinate grid of a polar coordinate system so as to divide the coverage area into a plurality of small areas; calculate coordinates of borders between basic cells in a Cartesian coordinate system, the basic cells being shaped into regular hexagons arranged to be in contact with one another along their sides and at their vertices or into circles circumscribing the regular hexagons; define a plurality of new cells by converting, through coordinate transformation, the coordinates of the borders between the basic cells in the Cartesian coordinate system into coordinates of borders in the polar coordinate system; and set amplitudes and phases to the plurality of antenna devices that are suitable to form a plurality of beams in respective directions of the plurality of new cells.