Preprints IPM . M. In. Keldysh . 2013. No. 6. 32 s. Authors: Ilyin I. C. , Zaslavsky G. C. , Lavrenov S. M. , Sazonov V. In. , Stepanyants V. A. , Tuchin A. G. , Tuchin D. A. , Yaroshevsky V. C. The paper considers the ballistic design of the flight of the spacecraft to the vicinity of the point L2 and the subsequent exit of the spacecraft to the halo-orbit. The method of calculating the trajectories of single-pulse Earth-halo orbits using and without the use of lunar gravitational maneuver. When calculating single-pulse trajectories of Earth-halo orbits (using and without the use of lunar gravitational maneuver), an algorithm for constructing initial approximations is used. These approximations are constructed by calculating and analyzing the function insoles from the two variables. As such, the height of the pericenter of the departure orbit above the Earth's surface is considered.. Arguments of the function are special parameters characterizing the halo-orbit. This algorithm allows you to obtain halo-orbits with specified geometric characteristics both in the plane of the ecliptic and in the plane that is orthogonal to it. Estimates of the cost of the characteristic speed to maintain the spacecraft on the selected halo-orbit. The described technique was used to search for the operating orbits of the Spektr-RG and Millimetron spacecraft. Initial approximation for the trajectory of a direct single-pulse flight from low Earth orbit to a given halo orbit around the L2 point. Initial approximation for the trajectory of a single-pulse flight from low Earth orbit to a given halo orbit around the L2 point using a gravitational maneuver at the Moon. Calculation of flight path parameters from low Earth orbit to a given halo orbit around the L2 point. Examples of calculation of the nominal trajectory of the flight of the spacecraft "Spectrum-RG" from low earth orbit to halo orbit around the point L2 without the use of gravitational maneuver at the Moon Examples of calculating the trajectory of the flight of the spacecraft "Millimetron" from low earth orbit to a given halo orbit around the point L2. Examples of calculation of nominal flight trajectories from low Earth orbit to a given halo orbit around the L2 point using the gravitational maneuver at the Moon.