Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches

Alexander Degtyarev; Irina Vorobiova; Anatoliy Sheptun

doi:doi:10.11648/j.ajae.20150205.11

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Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches

Alexander Degtyarev, Irina Vorobiova, Anatoliy Sheptun

Published in American Journal of Aerospace Engineering (Volume 2, Issue 5)

Received: 21 September 2015 Accepted: 13 October 2015 Published: 23 February 2016

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Abstract

Mutual-relative motion of satellites constellation after their placing into initial orbit is characterized the satellites reiterated approaches to minimal distances. Determined separation conditions for each satellite pair in constellation, which realization leads to minimal satellites approaches. It was sustained, that distances between satellites can reach extreme minimal values due to minor angular deviations of orbit planes and always occurring flight altitudes long-period oscillations. Received analytical relations for estimation of angular deviations and distances between satellites orbit planes at the phases of periodical approaches. It was approved that in some vicinity of orbit numbers can occur following almost simultaneously: small differences of angular distances from the equator for any satellite pair in constellation; minimal angular deviations of satellites orbit planes (in general they have different precession after separation of different directions and with various velocities). Analytical relationships were numerically confirmed with using software for satellites movement prediction at the phases of their approaches to the minimum distances. The area of satellites separation parameters was built, with its implementation in a small vicinity of flight orbits the satellites approach to distances less than 100 m. The minimum distance in the specified area according to the single calculations is ~10 m.

Published in	American Journal of Aerospace Engineering (Volume 2, Issue 5)
DOI	10.11648/j.ajae.20150205.11
Page(s)	36-42
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Group Launches, Minimal Distances, Satellites Spatial Separation, Angular Spatial Separation of Orbit Planes, Estimation of Maximal Satellites Approaches, Maximal Satellites Approaches

References

[1]	Эльясберг, П. Е. Введение в теорию полета искусственных спутников Земли // Павел Ефимович Эльясберг // – М.: Наука, 1965. – 540с.
[2]	Degtyarev A. Research of trajectories of spacecraft cluster injection into different orbits in one «Cyclone-4» vehicle launch//Degtyarev A., Degtyarenko P., Sirenko V., Sheptun A.//Space research in Ukraine 2010-2012.–Kyiv.
[3]	Degtyarev A. Feasibility study of spacecraft cluster lunches with lunch vehicle into various basic orbits // Degtyarev A., Sheptun A., Mashtak I. // IAC-13-D2.P.16, 64th International Astronautical Congress, China, 2013.
[4]	Vorobiova I. Launch vehicle energy performance during single injection of the satellites into individual orbits // Vorobiova I., Sheptun A. // IAC-14-D2.2.9, 65th International Astronautical Congress, Canada, 2014.
[5]	ВоробьеваИ. А. Проектно-баллистические исследования по групповым запускам спутников в одном пуске ракеты носителя на разнесенные базовые // Воробьева И. А., Шептун А.Д. // Научный журнал ХУПС, № 3, 2014.

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Alexander Degtyarev, Irina Vorobiova, Anatoliy Sheptun. (2016). Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches. American Journal of Aerospace Engineering, 2(5), 36-42. https://doi.org/10.11648/j.ajae.20150205.11

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ACS Style

Alexander Degtyarev; Irina Vorobiova; Anatoliy Sheptun. Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches. Am. J. Aerosp. Eng. 2016, 2(5), 36-42. doi: 10.11648/j.ajae.20150205.11

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AMA Style

Alexander Degtyarev, Irina Vorobiova, Anatoliy Sheptun. Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches. Am J Aerosp Eng. 2016;2(5):36-42. doi: 10.11648/j.ajae.20150205.11

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@article{10.11648/j.ajae.20150205.11,
  author = {Alexander Degtyarev and Irina Vorobiova and Anatoliy Sheptun},
  title = {Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches},
  journal = {American Journal of Aerospace Engineering},
  volume = {2},
  number = {5},
  pages = {36-42},
  doi = {10.11648/j.ajae.20150205.11},
  url = {https://doi.org/10.11648/j.ajae.20150205.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.20150205.11},
  abstract = {Mutual-relative motion of satellites constellation after their placing into initial orbit is characterized the satellites reiterated approaches to minimal distances. Determined separation conditions for each satellite pair in constellation, which realization leads to minimal satellites approaches. It was sustained, that distances between satellites can reach extreme minimal values due to minor angular deviations of orbit planes and always occurring flight altitudes long-period oscillations. Received analytical relations for estimation of angular deviations and distances between satellites orbit planes at the phases of periodical approaches. It was approved that in some vicinity of orbit numbers can occur following almost simultaneously: small differences of angular distances from the equator for any satellite pair in constellation; minimal angular deviations of satellites orbit planes (in general they have different precession after separation of different directions and with various velocities). Analytical relationships were numerically confirmed with using software for satellites movement prediction at the phases of their approaches to the minimum distances. The area of satellites separation parameters was built, with its implementation in a small vicinity of flight orbits the satellites approach to distances less than 100 m. The minimum distance in the specified area according to the single calculations is ~10 m.},
 year = {2016}
}

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TY  - JOUR
T1  - Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches
AU  - Alexander Degtyarev
AU  - Irina Vorobiova
AU  - Anatoliy Sheptun
Y1  - 2016/02/23
PY  - 2016
N1  - https://doi.org/10.11648/j.ajae.20150205.11
DO  - 10.11648/j.ajae.20150205.11
T2  - American Journal of Aerospace Engineering
JF  - American Journal of Aerospace Engineering
JO  - American Journal of Aerospace Engineering
SP  - 36
EP  - 42
PB  - Science Publishing Group
SN  - 2376-4821
UR  - https://doi.org/10.11648/j.ajae.20150205.11
AB  - Mutual-relative motion of satellites constellation after their placing into initial orbit is characterized the satellites reiterated approaches to minimal distances. Determined separation conditions for each satellite pair in constellation, which realization leads to minimal satellites approaches. It was sustained, that distances between satellites can reach extreme minimal values due to minor angular deviations of orbit planes and always occurring flight altitudes long-period oscillations. Received analytical relations for estimation of angular deviations and distances between satellites orbit planes at the phases of periodical approaches. It was approved that in some vicinity of orbit numbers can occur following almost simultaneously: small differences of angular distances from the equator for any satellite pair in constellation; minimal angular deviations of satellites orbit planes (in general they have different precession after separation of different directions and with various velocities). Analytical relationships were numerically confirmed with using software for satellites movement prediction at the phases of their approaches to the minimum distances. The area of satellites separation parameters was built, with its implementation in a small vicinity of flight orbits the satellites approach to distances less than 100 m. The minimum distance in the specified area according to the single calculations is ~10 m.
VL  - 2
IS  - 5
ER  -

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Author Information

Alexander Degtyarev

Yuzhnoye SDO, Dnepropetrovsk, Ukraine
Irina Vorobiova

Yuzhnoye SDO, Dnepropetrovsk, Ukraine
Anatoliy Sheptun

Yuzhnoye SDO, Dnepropetrovsk, Ukraine

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Plain Text BibTeX RIS

APA Style

Alexander Degtyarev, Irina Vorobiova, Anatoliy Sheptun. (2016). Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches. American Journal of Aerospace Engineering, 2(5), 36-42. https://doi.org/10.11648/j.ajae.20150205.11

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ACS Style

Alexander Degtyarev; Irina Vorobiova; Anatoliy Sheptun. Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches. Am. J. Aerosp. Eng. 2016, 2(5), 36-42. doi: 10.11648/j.ajae.20150205.11

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AMA Style

Alexander Degtyarev, Irina Vorobiova, Anatoliy Sheptun. Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches. Am J Aerosp Eng. 2016;2(5):36-42. doi: 10.11648/j.ajae.20150205.11

Copy | Download

@article{10.11648/j.ajae.20150205.11,
  author = {Alexander Degtyarev and Irina Vorobiova and Anatoliy Sheptun},
  title = {Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches},
  journal = {American Journal of Aerospace Engineering},
  volume = {2},
  number = {5},
  pages = {36-42},
  doi = {10.11648/j.ajae.20150205.11},
  url = {https://doi.org/10.11648/j.ajae.20150205.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.20150205.11},
  abstract = {Mutual-relative motion of satellites constellation after their placing into initial orbit is characterized the satellites reiterated approaches to minimal distances. Determined separation conditions for each satellite pair in constellation, which realization leads to minimal satellites approaches. It was sustained, that distances between satellites can reach extreme minimal values due to minor angular deviations of orbit planes and always occurring flight altitudes long-period oscillations. Received analytical relations for estimation of angular deviations and distances between satellites orbit planes at the phases of periodical approaches. It was approved that in some vicinity of orbit numbers can occur following almost simultaneously: small differences of angular distances from the equator for any satellite pair in constellation; minimal angular deviations of satellites orbit planes (in general they have different precession after separation of different directions and with various velocities). Analytical relationships were numerically confirmed with using software for satellites movement prediction at the phases of their approaches to the minimum distances. The area of satellites separation parameters was built, with its implementation in a small vicinity of flight orbits the satellites approach to distances less than 100 m. The minimum distance in the specified area according to the single calculations is ~10 m.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Organization of Uniform Dispersal for Group of Small Satellites After Their Separation and Acceptable Spread at Stages of Their Further Approaches
AU  - Alexander Degtyarev
AU  - Irina Vorobiova
AU  - Anatoliy Sheptun
Y1  - 2016/02/23
PY  - 2016
N1  - https://doi.org/10.11648/j.ajae.20150205.11
DO  - 10.11648/j.ajae.20150205.11
T2  - American Journal of Aerospace Engineering
JF  - American Journal of Aerospace Engineering
JO  - American Journal of Aerospace Engineering
SP  - 36
EP  - 42
PB  - Science Publishing Group
SN  - 2376-4821
UR  - https://doi.org/10.11648/j.ajae.20150205.11
AB  - Mutual-relative motion of satellites constellation after their placing into initial orbit is characterized the satellites reiterated approaches to minimal distances. Determined separation conditions for each satellite pair in constellation, which realization leads to minimal satellites approaches. It was sustained, that distances between satellites can reach extreme minimal values due to minor angular deviations of orbit planes and always occurring flight altitudes long-period oscillations. Received analytical relations for estimation of angular deviations and distances between satellites orbit planes at the phases of periodical approaches. It was approved that in some vicinity of orbit numbers can occur following almost simultaneously: small differences of angular distances from the equator for any satellite pair in constellation; minimal angular deviations of satellites orbit planes (in general they have different precession after separation of different directions and with various velocities). Analytical relationships were numerically confirmed with using software for satellites movement prediction at the phases of their approaches to the minimum distances. The area of satellites separation parameters was built, with its implementation in a small vicinity of flight orbits the satellites approach to distances less than 100 m. The minimum distance in the specified area according to the single calculations is ~10 m.
VL  - 2
IS  - 5
ER  -

Copy | Download