Journal of Astronomy and Space Sciences

The Korean Space Science Society (한국우주과학회)
권호 표지
DOI QR코드

DOI QR Code

Determination of Initial Conditions for Tetrahedral Satellite Formation

  • Yoo, Sung-Moon (Space Science Division, Korea Astronomy and Space Science Institute) ;
  • Park, Sang-Young (Astrodynamics and Control Lab., Department of Astronomy, Yonsei University)
  • Received : 2011.08.01
  • Accepted : 2011.11.15
  • Published : 2011.12.15
Download PDF
⟨ Previous Next ⟩

Abstract

This paper presents an algorithm that can provide initial conditions for formation flying at the beginning of a region of interest to maximize scientific mission goals in the case of a tetrahedral satellite formation. The performance measure is to maximize the quality factor that affects scientific measurement performance. Several path constraints and periodicity conditions at the beginning of the region of interest are identified. The optimization problem is solved numerically using a direct transcription method. Our numerical results indicate that there exist an optimal configuration and states of a tetrahedral satellite formation. Furthermore, the initial states and algorithm presented here may be used for reconfiguration maneuvers and fuel balancing problems.

Keywords

References

  1. Betts JT, Huffman WP, Sparse Optimal Control Software, Ver. 6.4.1 (The Boeing Co., Seattle, 2005).
  2. Chavez Clemente D, Atkins EM, Optimization of a tetrahedral satellite formation, JSpRo, 42, 699-710 (2005). http://dx.doi.org/10.2514/1.9776
  3. Curtis S, The magnetospheric multiscale mission resolving fundamental processes in space plasmas, NASA TM2000-209883 (NASA Goddard Space Flight Center, December 2000).
  4. Curtis S, Petruzzo C, Clark P, Peterson A, The magnetospheric multi-scale mission: an electronically tethered constelation of four spacecraft, in Third International Workshop on Satellite Constellations and Formation Flying, Pisa, Italy, 24-26 Feb 2003.
  5. Dow J, Matussi S, Mugellesi Dow R, Schmidt M, Warhaut M, The implementation of the cluster II constellation, AcAau, 54, 657-669 (2004). http://dx.doi.org/10.1016/j.actaastro.2003.06.006
  6. Guzman JJ, Tetrahedron formation control, JAnSc, 51, 419-431 (2003).
  7. Hughes S, Formation tetrahedron design for phase 1 of the magnetospheric multiscale mission (Flight Dynamics Analysis Branch, NASA Goddard Space Flight Center, 2004).
  8. Hughes SP, General method for optimal guidance of spacecraft formations, JGCD, 31, 414-423 (2008). http://dx.doi.org/10.2514/1.23731
  9. Humi M, Fuel-optimal rendezvous in a general central force field, JGCD, 16, 215-217 (1993). http://dx.doi.org/10.2514/3.11448
  10. Huntington GT, Rao AV, Optimal reconfiguration of spacecraft formations using the gauss pseudospectral method, JGCD, 31, 689-698 (2008). http://dx.doi.org/10.2514/1.31083
  11. LISA Project Office, Final technical report of the (phase A) study of the laser interferometer space antenna, LISA project internal report number ESTEC Contract No. 13631/99/NL/MS, Report No. LI-RP-DS-009 (April 2000).
  12. Robert P, Roux A, Harvey C, Dunlop M, Daly P, et al., Tetrahedron geometric factors, analysis methods for multi-spacecraft data, ISSI Report No. SR-001 (European Space Agency, The Netherlands, 1998), 323-348.
  13. Scharf DP, Hadaegh FY, Ploen SR, A survey of spacecraft formation flying guidance and control. Part II: control, in Proceedings of the American Control Conference, Boston, MA Jun 30-Jul 2 2004, 2976-2985.
  14. Sengupta P, Vadali S, Relative motion and the geometry of formations in Keplerian elliptic orbits with arbitrary eccentricity, JGCD, 30, 953-964 (2007). http://dx.doi.org/10.2514/1.25941
  15. Tschauner JFA, Hempel PR, Rendezvous with a target in an elliptical orbit, AcAau, 11, 104-109 (1965).
  16. Zanon DJ, Campbell ME, Mission objectives in tetrahedral formation maneuvering, in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, Reston, VA, Aug 2005.

Cited by

  1. Development of Integrated Orbit and Attitude Software-in-the-loop Simulator for Satellite Formation Flying vol.30, pp.1, 2013, https://doi.org/10.5140/JASS.2013.30.1.001