Economic crises are not the most catastrophic phenomenon on the Earth. They happened and will happen rather regularly. Idea crisis, losses in scientific education and technology, intellectual degradation of society are much more concerning for our future. Nobody can argue that educated person can quickly overcome any problems, including the economic ones. Fr om this point of view, the space industry is that very sphere, wh ere due to high complexity of tasks the most educated personnel and development potential are concentrated. Small spacecraft, that came into our scientific lives in the last decade, boosted the pace of cosmonautics, bringing you novel ideas of technological, economic and engineering limitations. A new necessity to solve more complex problems, e.g. ballistics of spacecraft which have limitations on their weight, size, energy capacity and computing power, faced the scientists. Apparatuses that weigh 10 or even less kilograms are now common in space exploration. Thus, we are now in need of state-of-the-art mathematical methods that rely on mathematical trickery, not on raw computing capabilities. The talk will cover some examples of ballistic engineering of missions (orbital and angular movement) based on small spacecraft, for interplanetary travel group flights and even exotic individual missions.
