Methodology, methods, and results of the first estimates of the probability of close approach between constellation satellites
Heading:
| 1Degtyarev, AV, 1Sheptun, AD 1Yangel Yuzhnoye State Design Office, Dnipropetrovsk, Ukraine |
| Space Sci. & Technol. 2019, 25 ;(6):15-32 |
| https://doi.org/10.15407/knit2019.06.015 |
| Publication Language: Russian |
Abstract: Analytical and numerical methods are proposed for estimating the probability of first close approaches of the satellites in a constellation during a long flight. Both methods are based on the integration of equations of motion of centers of mass of two satellites. The satellite separation conditions are determined under which the planes of their orbits coincide in a certain interval of the number of orbits. This interval is defined for each pair of satellites. Accordingly, for such pairs of satellites, the probability of a close approach will be maximal.
The probability of a close approach of two pairs of satellites to a distance of up to 100 m has been determined for a group of 12 satellites.Data have been obtained on a preliminary estimate of the probability of satellites’ approach in a constellation if their number increases, for example, to about 100 units.
|
| Keywords: satellite approach probability, satellite constellation, sun-synchronous orbits |
References:
1. Ventsel V. S. (1958). Probability theory. Moscow: Publishing house of physical and mathematical literature. 464 p. [in Russian].
2. Gerasiuta N. F., Lebedev A. A. (1970). Rocket ballistics. Moscow: Mechanical engineering, 244 p. [in Russian].
3. GOST 25645, 115-84 (1985). Density model for satellite ballistic support of EAS. Moscow: State standart [in Russian].
4. Degtiarev A. V., Sheptun A. D. (2011). Design and ballistic solutions for group launches of spacecrafts into several basic orbits. Space technique. Missile weapons, 2, 37—51 [in Russian].
5. Degtyarev A. V., Vorobiova I. A., Sheptun A. D. (2016). Organization of uniform dispersal for group of small satellites after their separation and acceptable spread at stages of their further approaches. Space Sci. & Technol., 22, No. 3, 25—31 [in Russian].
2. Gerasiuta N. F., Lebedev A. A. (1970). Rocket ballistics. Moscow: Mechanical engineering, 244 p. [in Russian].
3. GOST 25645, 115-84 (1985). Density model for satellite ballistic support of EAS. Moscow: State standart [in Russian].
4. Degtiarev A. V., Sheptun A. D. (2011). Design and ballistic solutions for group launches of spacecrafts into several basic orbits. Space technique. Missile weapons, 2, 37—51 [in Russian].
5. Degtyarev A. V., Vorobiova I. A., Sheptun A. D. (2016). Organization of uniform dispersal for group of small satellites after their separation and acceptable spread at stages of their further approaches. Space Sci. & Technol., 22, No. 3, 25—31 [in Russian].
6. Kugaienko B. V., Eliasberg P. E. (1968). The evolution of almost circular satellites orbits under the influence of zonal harmonics. Space Research., 4, No. 2, 186—202 [in Russian].
7. Patent of Ukraine № 87290. Denisov V. I., Shchegol V. A., Degtiarenko P. G., Nesterov O. V., Mashtak I. V., Sheptun A. D., Avchinnikov I. K., Sirenko V. M., Tatarevsky K. E., Degtiarev O. V. (2014). A method of preparing and conducting a group launch of satellites in space with one rocket [in Ukrainian].
8. Eliasberg P. E. (1965). Introduction to the theory of flight of artificial satellites. Moscow: Science. 540 p. [in Russian].
9. Eliasberg P. E. et. al. (1967). The movement of artificial satellites in the gravitational field of the Earth. Moscow: AS USSR, Computing Centre AS USSR. 299 p. [in Russian].
10. Degtyarev A., Vorobiova I., Sheptun A. (2015). Organization uniform dispersal for group of small satellites after their separation and acceptable spread at stages of their further approaches. Amer. J. Aerospace Eng., 2, 36—42.
7. Patent of Ukraine № 87290. Denisov V. I., Shchegol V. A., Degtiarenko P. G., Nesterov O. V., Mashtak I. V., Sheptun A. D., Avchinnikov I. K., Sirenko V. M., Tatarevsky K. E., Degtiarev O. V. (2014). A method of preparing and conducting a group launch of satellites in space with one rocket [in Ukrainian].
8. Eliasberg P. E. (1965). Introduction to the theory of flight of artificial satellites. Moscow: Science. 540 p. [in Russian].
9. Eliasberg P. E. et. al. (1967). The movement of artificial satellites in the gravitational field of the Earth. Moscow: AS USSR, Computing Centre AS USSR. 299 p. [in Russian].
10. Degtyarev A., Vorobiova I., Sheptun A. (2015). Organization uniform dispersal for group of small satellites after their separation and acceptable spread at stages of their further approaches. Amer. J. Aerospace Eng., 2, 36—42.
11. Vorobiova I., Sheptun A. (2015). Organization uniform dispersal for group of small satellites after their separation and acceptable spread at stages of their further approaches. IAC-15-B4.5.11, Israel, Jerusalem, 4—9.