One of the main directions in the development of information technology is satellite communications (SС). Therefore, the elemental base of the SС is subject to increased requirements for weight and size characteristics and environmental friendliness. Research is needed on the use of new materials and technologies that will provide the required level of the above characteristics in order to achieve these requirements. One such promising technology is the printing of graphene inks on biodegradable substrates. Graphene inks do not corrode and are lighter than metal analogues. The possibility of using this technology allowed us to develop the direction of deployable antennas, which have the preferred weight and size characteristics, are easily transported and installed. The results of the development of an environmental spiral logarithmic graphene antenna for satellite communications, are presented. This antenna can be applied in the L-, S- and C-bands as well as GPS bands. A possible design and folding method is presented. The effect of the substrate's revolutions number on the S parameter is considered. The calculated radiation pattern in two planes is presented.