Journal of Astronomy and Space Sciences

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

DOI QR Code

Practical Algorithms on Lunar Reference Frame Transformations for Korea Pathfinder Lunar Orbiter Flight Operation

  • Song, Young-Joo (Lunar Exploration Program Office, Korea Aerospace Research Institute) ;
  • Lee, Donghun (School of Aerospace and Mechanical Engineering, Korea Aerospace University) ;
  • Kim, Young-Rok (Lunar Exploration Program Office, Korea Aerospace Research Institute) ;
  • Bae, Jonghee (Lunar Exploration Program Office, Korea Aerospace Research Institute) ;
  • Park, Jae-ik (Lunar Exploration Program Office, Korea Aerospace Research Institute) ;
  • Hong, SeungBum (Lunar Exploration Program Office, Korea Aerospace Research Institute) ;
  • Kim, Dae-Kwan (Lunar Exploration Program Office, Korea Aerospace Research Institute) ;
  • Lee, Sang-Ryool (Director's Office, Korea Aerospace Research Institute)
  • Received : 2021.06.16
  • Accepted : 2021.07.15
  • Published : 2021.09.14
Download PDF
⟨ Previous Next ⟩

Abstract

This technical paper deals the practical transformation algorithms between several lunar reference frames which will be used for Korea pathfinder lunar orbiter (KPLO) flight operation. Despite of various lunar reference frame definitions already exist, use of a common transformation algorithm while establishing lunar reference frame is very important for all members related to KPLO mission. This is because use of slight different parameters during frame transformation may result significant misleading while reprocessing data based on KPLO flight dynamics. Therefore, details of practical transformation algorithms for the KPLO mission specific lunar reference frames is presented with step by step implementation procedures. Examples of transformation results are also presented to support KPLO flight dynamics data user community which is expected to give practical guidelines while post processing the data as their needs. With this technical paper, common understandings of reference frames that will be used throughout not only the KPLO flight operation but also science data reprocessing can be established. It is expected to eliminate, or at least minimize, unnecessary confusion among all of the KPLO mission members including: Korea Aerospace Research Institute (KARI), National Aeronautics and Space Administration (NASA) as well as other organizations participating in KPLO payload development and operation, or further lunar science community world-wide who are interested in KPLO science data post processing.

Keywords

References

  1. Archinal BA, Acton CH, A'Hearn MF, Conrad A, Consolmagno GJ, et al., Report of the IAU working group on cartographic coordinates and rotational elements: 2015, Celest. Mech. Dyn. Astron. 130, 22 (2018). https://doi.org/10.1007/s10569-017-9805-5
  2. Archinal BA, A'Hearn MF, Bowell E, Conrad A, Consolmagno GJ, et al., Report of the IAU working group on cartographic coordinates and rotational elements: 2009, Celest. Mech. Dyn. Astron. 109, 101-135 (2011). https://doi.org/10.1007/s10569-010-9320-4
  3. Bae J, Hong SB, Song YJ, Kim YR, Park J, et al., Trajectory correction maneuver analysis of KPLO WSB/BLT trajectory with respect to burn error and maneuver execution epoch, Bullentin of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Fall Conference, Jeju, Korea, 18-20 Nov 2020a.
  4. Bae J, Kim YR, Song YJ, Park J, Hong SB, et al., Maneuver recovery function development and result analysis of trajectory correction maneuver of Korea Pathfinder Lunar Orbiter, Bullentin of the Korea Space Science Society (KSSS) 2020 Fall Conference, Jeju, Korea, 28-30 Oct 2020b.
  5. Bae J, Kim YR, Song YJ, Park J, Hong SB, et al., Maneuver recovery process of lunar orbiter insertion maneuver considering engine model for Korea Pathfinder Lunar Orbiter, Bulletin of the Korea Space Science Society (KSSS) 2021 Spring Conference, Yeosu, Korea, 28-30 Apr 2021.
  6. Bae J, Lee D, Song YJ, Kim YR, Park JI, et al., Trajectory correction maneuver design of KPLO BLT trajectory considering flight operation, Proceedings of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Spring Conference, Goseong, Korea, 8-11 Jul 2020c.
  7. Davies ME, Colvin TR, Lunar coordinates in the regions of the Apollo landers, J. Geophys. Res. 105, 20277-20280 (2000). https://doi.org/10.1029/1999JE001165
  8. Folkner WM, Williams JG, Boggs DH, Park RS, Kuchynka P, The planetary and lunar ephemerides DE430 and DE431, California Institute of Technology, IPN Progress Report 42-196 (2014).
  9. Hong S, Kim YR, Song YJ, Lee D, Park JI, et al., Launch vehicle dispersion analysis of KPLO BLT trajectory, Proceedings of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Spring Conference, Goseong, Korea, 8-11 Jul 2020a.
  10. Hong SB, Park J, Kim IK, Song YJ, Kim YR, et al., KPLO ground station tracking time analysis, Bullentin of the Korea Space Science Society (KSSS) 2020 Fall Conference, Jeju, Korea, 28- 30 Oct 2020b.
  11. Kim YR, Hong SB, Song YJ, Park J, Bae J, et al., Orbit determination error analysis for design of launch vehicle dispersion trajectory correction maneuver, Proceedings of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Fall Conference, Jeju, Korea, 18-20 Nov 2020a.
  12. Kim YR, Song YJ, Observational arc-length effect on orbit determination for Korea Pathfinder Lunar Orbiter in the Earth-Moon transfer phase using a sequential estimation, J. Astron. Space Sci. 36, 293-306 (2019a). https://doi.org/10.5140/JASS.2019.36.4.293
  13. Kim YR, Song YJ, Bae J, Choi SW, Orbit determination simulation for Korea Pathfinder Lunar Orbiter using sequential estimation approach, Proceedings of the 29th AAS/AIAA Space Flight Mechanics Meeting, Maui, HI, 13-17 Jan 2019b.
  14. Kim YR, Song YJ, Bae J, Park J, Hong SB, et al., Ground tracking support condition effect on orbit determination and prediction for Korea Pathfinder Lunar Orbiter for trans-lunar trajectory, Bulletin of the Korea Space Science Society (KSSS) 2021 Spring Conference, Yeosu, Korea, 28-30 Apr 2021.
  15. Kim YR, Song YJ, Park JI, Lee D, Bae J, et al., Orbit determination simulation for Korea Pathfinder Lunar Orbiter using ballistic lunar transfer, Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, Lake Tahoe, CA, 9-13 Aug 2020b.
  16. Kim YR, Song YJ, Park J, Lee D, Bae J, et al., Ground tracking support condition effect on orbit determination for Korea Pathfinder Lunar Orbiter (KPLO) in lunar orbit, J. Astron. Space Sci. 37, 237-247 (2020c). https://doi.org/10.5140/JASS.2020.37.4.237
  17. Konopliv AS, Asmar SW, Carranza E, Sjogren WL, Yuan DN, Recent gravity models as a result of the lunar prospector mission. Icarus. 150, 1-18 (2001). https://doi.org/10.1006/icar.2000.6573
  18. Lee D, Park J, Song Y, Kim Y, Hong S, et al., KPLO BLT trajectory design, Proceedings of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Spring Conference, Goseong, Korea, 8-11 Jul 2020a.
  19. Lee D, Park J, Song YJ, Kim YR, Hong SB, et al., WSB/BLT trajectories for the KPLO mission, Bulletin of the Korea Space Science Society (KSSS) 2020 Fall Conference, Jeju, Korea, 28-30 Oct 2020b.
  20. Lee D, Park J, Song YJ, Kim YR, Hong SB, et al., Lunar orbit conditions to design WSB/BLT trajectories, Proceedings of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Fall Conference, Jeju, Korea, 18-20 Nov 2020c.
  21. LRO Project, A standardized lunar coordinate system for the lunar reconnaissance orbiter and lunar datasets, LRO Project and LGCWG White Paper, ver. 5, Goddard Space Flight Center, MD (2008).
  22. Navigation Ancillary Information Facility [NAIF], SPICE Data (SPICE Kernels) (2021) [Internet], viewed 2021 Mar 17, available from: https://naif.jpl.nasa.gov/naif/data.html
  23. Park J, Lee D, Hong SB, Song YJ, Kim YR, et al., KPLO lunar mission orbit design using eccentricity-argument of periapsis vector, Bulletin of the Korea Space Science Society (KSSS) 2020 Fall Conference, Jeju, Korea, 28-30 Oct 2020a.
  24. Park JI, Lee D, Kim YR, Song YJ, Hong S, et al., Lunar orbit insertion and mission orbit design for KPLO BLT trajectory, Proceedings of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Spring Conference, Goseong, Korea, 8-11 Jul 2020b.
  25. Roncoli RB, Lunar constants and models document, Jet Propulsion Laboratory, California, JPL Technical Document D-32296 (2005).
  26. Song YJ, Kim YR, Bae J, Kim BY, Evolution of the selenopotential model and its effects on the propagation accuracy of orbits around the Moon, Math. Prob. Eng. 2017, 5493679 (2017). https://doi.org/10.1155/2017/5493679
  27. Song YJ, Kim YR, Lee D, Park JI, Hong S, et al., Impact of OP errors to the KPLO lunar orbit insertion utilizing BLT, Proceedings of the Korea Society for Aeronautical and Space Science (KSAS) 2020 Spring Conference, Goseong, Korea, 8-11 Jul 2020a.
  28. Song YJ, Lee D, Bae J, Kim YR, Park, J, et al., Mission coordinate system definition, precise transformation algorithm and its implementation results for Korea Pathfinder Lunar Orbiter flight dynamics, Bulletin of the Korea Space Science Society (KSSS) 2020 Fall Conference, Jeju, Korea, 28-30 Oct 2020b.