Stabilization of Heliosynchronous Orbits of an Earth's Artificial Satellite by Solar Pressure

Evolution of heliosynchronous orbits of an artificial satellite-balloon under Earth's gravitational field uncentrality and solar pressure is investigated. The satellite is considered to be a mirror-like sphere. Its mass and radius are chosen so that orbit perturbations due to gravitational field uncentrality and solar pressure have the same order. First the averaged equations of satellite motion in osculating elements is analyzed. Their solutions are constructed to describe heliosynchronous orbits. The solutions prove to be near stationary ones. Then heliosynchronous orbits are approximated by periodic solutions of specially constructed autonomous differential system. At last satellite motion equation are integrated numerically by multirevolution method with initial conditions of found periodic orbits. The orbits are found which remain heliosynchronous ones for some years.