VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University523210.18287/2541-7533-2017-16-3-104-113UnknownConstruction of an upper stage flight pattern for placing a group of spacecraft into an orbit plane with the required angular distance between the satellitesPoplevinA. S.<p><span lang="EN-US">leading design engineer</span></p>apoplevin@mail.ruPanovN. A.<p><span lang="EN-US">leading design engineer</span></p>nikolaos11@mail.ruJoint Stock Company Space Rocket Centre Progress231120171631041132311201723112017Copyright © 2017, VESTNIK of Samara University. Aerospace and Mechanical Engineering2017<p>The article deals with issues of constructing the flight pattern of an upper stage and its ballistic justification subject to minimization of the mission time taking into account the upper stages performance in the case of placing a group of spacecraft into the orbit plane with provision of a uniform angular distance between the satellites, and generating a motion control program to implement the chosen flight pattern. The solution of the problem is divided into two steps: the choice of a flight pattern with its project-ballistic analysis and generation of a centre-of-mass motion control program providing the required deployment of satellites. To solve the problem of the project-ballistic analysis of the flight pattern the author developed a mathematical apparatus allowing determination of a flight pattern that matches the specified criteria of time and fuel consumption by end formulae using the linear programming technique.</p>Групповое выведение КАсхема полёта блока выведениябаллистическое обоснованиепрограмма управления движениемразведение по аргументу широтыUpper stage flight patternplacing a group of spacecraft in orbitballistic justificationmotion control programdeployment by an argument of latitude[1. Poplevin A.S. Kick-stage control by navigational data of satellite navigation system. Vestnik of the Samara State Aerospace University. 2010. No. 2 (22). P. 191-197. (In Russ.)][2. Akhmetov R.N., Anshakov G.P., Manturov A.I., Panov N.A., Poplevin A.S., Tipukhov V.A. «Volga» Upper Stage Control System. Scientific-Technical Journal «Polyot». No. 8 (8). P. 10-16. (In Russ.)][3. Anshakov G.P., Grigor'ev S.K., Manturov A.I., Panov N.A., Poplevin A.S. Otsenka tochnosti vyvedeniya kosmicheskikh apparatov blokom vyvedeniya «Volga». Sbornik materialov konferentsii «XX Sankt-Peterburgskaya mezhdunarodnaya konferentsiya po integrirovannym navigatsionnym sistemam». Saint-Petersburg: State Research Center of the Russian Federation Concern CSRI «Elektropribor» Publ., 2013. P. 310-316. (In Russ.)][4. Kruglov G.E., Yudintsev V.V. Synthesis of processes of separation of a group of small spacecraft from an upper stage for different designs and structures. Proc. III International Conference «Scientific and Technological Experiments on Automated Space Vehicles and Small Satellites». Samara: Samarskiy Nauchnyy Tsentr RAN Publ., 2014. P. 224-227. (In Russ.)][5. Sposob otdeleniya sputnikov i razvedeniya ikh na orbite pri gruppovom zapuske odnoy raketoy [Method of separation of satellites and their moving apart in orbit in composite launch]. Patent RF, no. 2111901, 1998. (Publ. 27.05.1998).][6. Mashinostroenie. Entsiklopediya. T. IV-22. Raketno-kosmicheskaya tekhnika. Kn. 1 / pod red. V.P. Legostaeva [Encyclopedia. Vol. IV-22. Space rocket engineering. Book 1. / Ed. by V.P. Legostayev]. Moscow: Mashinostroenie Publ., 2012. 925 p.][7. Barinov K.N., Burdaev M.N., Mamon P.A. Dinamika i printsipy postroeniya orbital'nykh system kosmicheskikh apparatov [Dynamics and principles of designing spacecraft orbital systems]. Moscow: Mashinostroenie Publ., 1975. 232 p.][8. Zelentsov V.V., Kazakovtsev V.P. Osnovy ballisticheskogo proektirovaniya iskusstvennykh sputnikov Zemli: uch. posobie [Principles of ballistic design of artificial Earth satellites: Teaching Aid]. Moscow: Bauman Moscow State Technical University Publ., 2012. 176 p.]