Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Computation of space objects trajectories by optical measurement in double visibility pick-up range of space surveillance ground stations

Published: 20.06.2017

Authors: Kustodov A.Yu., Pavlov V.P.

Published in issue: #6(66)/2017

DOI: 10.18698/2308-6033-2017-6-1659

Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control

The article covers issues of detecting the space object location in the near-Earth space using the optical ground stations measurements. The work describes the algorithm of searching the object status vector when the object is moving in the double visibility pickup range of the optoelectronic space surveillance stations within a short time period. We show the technique of defining the velocity vector by coordinate vectors obtained through the triangulation method. The methods of approximation and filtering individual measurements from optical ground stations as well as the method of evaluating the quality of measurement sessions are discussed. We demonstrate the results of navigational data processing with an example of a few geostationary objects and compare the orbital parameters obtained with the standard ones. The conclusions are drawn about the reasonability and conditions of using the method of defining the object trajectory when the object is in the double visibility pick-up range of the ground stations. The article suggests the ways to increase the precision of the solutions obtained.

[1] Samotokhin A.S., Khutorovskiy Z.N. Preprinty IPM im. M.V. Keldysha - Preprints of the Keldysh Institute of Applied Mathematics, 2014, no. 44, 31 p. Available at:
[2] Kustodov A.Yu. Analiz raboty avtomaticheskogo programmnogo kompleksa utochneniya parametrov orbity po informatsii opticheskikh sredstv [Automatic programming complex operation analysis for defining orbit parameters by optical station information]. Sbornik statey VI nauchno-tekhnicheskoy konferentsii molodykh uchenykh i spetsialistov Tsentra upravleniya poletami [Proc. of VI scientific and technical conference of young scientists and specialists of Mission Control Center]. TSNIIMASH, April 5-8, 2016. Korolev, TSNIIMASH, 2016, pp. 249-255.
[3] Shefer V.A. Astronomicheskiy vestnik - Solar System Research, 2010, vol. 44, no. 3, pp. 273-288.
[4] Subbotin M.F. Vvedeniye v teoreticheskuyu astronomiyu [Introduction to theoretical astronomy]. Moscow, Nauka Publ., 1968, 800 p.
[5] Aleshin V.I., Gridchina T.A., Kondrashin M.A., Lavrentyev V.G., Lobachev V.I., Oleynikov I.I., Pavlov V.P. Kosmonavtika i raketostroenye - Cosmonautics and Rocket Engineering, 2014, no. 3 (76), pp. 112-122.
[6] Vallado D.A. Fundamentals of Astrodynamics and Applications. 3rd edition. New York, Springer-Verlag, 2007, 1055 p. Ser. Space Technology Library.
[7] Boykov V.F., Khutorovsky Z.N., Sbytov N.N. An Algorithm of Preliminary HEO Orbital Parameters Determination Based on Three Optical Positional Measurements. Sixth US/Russian Space Surveillance Workshop. August 22-26, 2005. Proceedings. P.K. Seidelmann, V.K. Abalakin, eds. St. Petersburg, 2005. Available at:
[8] Battin R.H. An Introduction to the Mathematics and Methods of Astrodynamics. Revised Edition. Reston, Virginia, American Institute of Aeronautics and Astronautics, Inc., 1999. Available at:
[9] Baranov V.N., Boiko E.G., Krasnorylov N.N. Kosmicheskaya geodeziya [Space Geodesy]. Moscow, Nedra Publ., 1986, 407 p.
[10] Kozoriz A.I., Pavlov V.P. Kosmonavtika i raketostroenye - Cosmonautics and Rocket Engineering, 2009, no. 2 (55), pp. 53-59.