DOI QR코드

DOI QR Code

Evaluation of a Laser Altimeter using the Pseudo-Random Noise Modulation Technique for Apophis Mission

  • Received : 2021.06.30
  • Accepted : 2021.08.12
  • Published : 2021.09.14

Abstract

Apophis is a near-Earth object with a diameter of approximately 340 m, which will come closer to the Earth than a geostationary orbit in 2029, offering a unique opportunity for characterizing the object during the upcoming encounter. Therefore, Korea Astronomy and Space Science Institute has a plan to propose a space mission to explore the Apophis asteroid using scientific instruments such as a laser altimeter. In this study, we evaluate the performance metrics of a laser altimeter using a pseudorandom noise modulation technique for the Apophis mission, in terms of detection probability and ranging accuracy. The closed-form expression of detection probability is provided using the cross correlation between the received pulse trains and pseudo-random binary sequence. And the new ranging accuracy model using Gaussian error propagation is also derived by considering the sampling rate. The operation range is significantly limited by thermal noise rather than background noise, owing to not only the low power laser but also the avalanche photodiode in the analog mode operation. However, it is demonstrated from the numerical simulation that the laser altimeter can achieve the ranging performance required for a proximity operation mode, which employs commercially available components onboard CubeSat-scale satellites for optical communications.

Keywords

References

  1. Abshire J, Performance of OOK and low-order PPM modulations in optical communications when using APD-based receivers, IEEE Trans. Commun. 32, 1140-1143 (1984). https://doi.org/10.1109/TCOM.1984.1095976
  2. Ai X, Nock R, Rarity JG, Dahnoun N, High-resolution randommodulation cw lidar, Appl. Opt. 50, 4478-4488 (2011). https://doi.org/10.1364/AO.50.004478
  3. Binzel RP, Rivkin AS, Thomas CA, Vernazza P, Burbine TH, et al., Spectral properties and composition of potentially hazardous asteroid (99942) Apophis, Icarus. 200, 480-485 (2009). https://doi.org/10.1016/j.icarus.2008.11.028
  4. Brozovic M, Benner LAM, McMichael JG, Giorgini JD, Pravec P, et al., Goldstone and Arecibo radar observations of (99942) Apophis in 2012-2013, Icarus. 300, 115-128 (2018). https://doi.org/10.1016/j.icarus.2017.08.032
  5. Buttgen B, Mechat MAE, Lustenberger F, Seitz P, Pseudonoise optical modulation for real-time 3-D imaging with minimum interface, IEEE Trans. Circuits Syst. I Regul. Pap. 54, 2109-2119 (2007). https://doi.org/10.1109/TCSI.2007.904598
  6. Delbo M, Cellino A, Tedesco EF, Albedo and size determination of potentially hazardous asteroids: (99942) Apophis, Icarus. 188, 266-269 (2007). https://doi.org/10.1016/j.icarus.2006.12.024
  7. Esteban JJ, Garcia AF, Eichholz J, Peinado AM, Bykov I, et al., Ranging and phase measurement for LISA, J. Phys. Conf. Ser. 228, 012045 (2010). https://doi.org/10.1088/1742-6596/228/1/012045
  8. Ghassemlooy Z, Popoola W, Rajbhandari S, Optical Wireless Communications: System and Channel Modelling with MATLAB, 2nd ed. (CRC Press, Boca Raton, FL, 2018).
  9. Hemmati H, Deep Space Optical Communications (John Wiley & Sons, Hoboken, NJ, 2006).
  10. Lim HC, Kucharski D, Kim S, Choi CS, Sung KP, et al., Evaluation of a Geiger-mode imaging flash lidar in the approach phase for autonomous safe landing on the Moon, Adv. Space Res. 63, 1122-1132 (2019). https://doi.org/10.1016/j.asr.2018.10.028
  11. Lim HC, Neumann GA, Choi MH, Yu SY, Bang SC, et al., Baseline design and performance analysis of laser altimeter for Korean lunar orbiter, J. Astron. Space Sci. 33, 211-219 (2016). https://doi.org/10.5140/JASS.2016.33.3.211
  12. Lim HC, Yu SY, Sung KP, Park JU, Choi CS, et al., Performance analysis of M-ary optical communication over lognormal fading channels for CubeSat platforms, J. Astron. Space Sci. 37, 219-228 (2020). https://doi.org/10.5140/JASS.2020.37.4.219
  13. Moon HK, Choi YJ, Kim MJ, Jeong Ahn Y, Yang H, et al., Apophis Rendezvous Mission for Scientific Investigation and Planetary Defense, in Apophis T-9 Years Workshop, Nice, France, 4-6 Nov 2020.
  14. Norman DM, Gardner CS, Satellite laser ranging using pseudonoise code modulated laser diodes, Appl. Opt. 27, 3650-3655 (1988). https://doi.org/10.1364/AO.27.003650
  15. Simon MK, Alouini MS, Digital Communication over Fading Channels: A Unified Approach to Performance Analysis (John Wiley & Sons, New York, NY, 2000).
  16. Sun X, Abshire JB, Krainak MA, Hasselbrack WB, Photon counting pseudorandom noise code laser altimeters, Proceedings of SPIE 6771, Boston, MA, 9-11 Sep 2007.
  17. Sun X, Cremons DR, Mazarico E, Yang G, Abshire JB, et al., Small all-range lidar for asteroid and comet core missions, Sensors. 21, 3081 (2021). https://doi.org/10.3390/s21093081
  18. Sun X, Davidson FM, Boutsikaris L, Abshire JB, Receiver characteristics of laser altimeters with avalanche photodiodes, IEEE Trans. Aerosp. Electron. Syst. 28, 268-275 (1992). https://doi.org/10.1109/7.135452
  19. Takeuchi N, Sugimoto N, Baba H, Sakurai K, Random modulation cw lidar, Appl. Opt. 22, 1382-1386 (1983). https://doi.org/10.1364/AO.22.001382
  20. Thuillot W, Bancelin D, Ivantsov A, Desmars J, Assafin M, et al., The astrometric Gaia-FUN-SSO observation campaign of 99942 Apophis, Astron. Astrophys. 583, A59 (2015). https://doi.org/10.1051/0004-6361/201425603
  21. Yu Y, Richardson DC, Michel P, Schwartz SR, Ballouz RL, Numerical predictions of surface effects during the 2029 close approach of asteroid 99942 Apophis, Icarus. 242, 82-96 (2014). https://doi.org/10.1016/j.icarus.2014.07.027