Skip to main content

How solar radiation pressure acts on RSAT and VSAT with a small evolving tip-off in SELENE


The solar radiation pressure model for the sub-satellites RSAT and VSAT in the SELENE project is improved to correct the mean acceleration due to an evolving tip-off of the spin during the life time of satellites. The shape of the satellites is assumed to be a regular octagonal pillar. Solar radiation pressure force components acting on each surface element of the satellite are calculated independently and summed vectorially during a total period of Euler’s free nutation of the satellite to obtain the mean acceleration of the satellite center of mass. The Doppler tracking data reduction process for the RSAT is simulated after incorporating the modified model into the orbit analysis software. Comparing with two other types of solar radiation pressure models, the standard cannonball model and a non tip-off model, it is found that when the tip-off becomes larger than 5°/s, the orbit determination result of using the modified model is better than the results of using other ones.


  • Floberghagen, R., P. Visser, and F. Weischede, Lunar albedo force modeling and its effect on low lunar orbit and gravity field determination, Adv. Space Res., 23, 733–738, 1999.

    Article  Google Scholar 

  • Kubo-oka, T. and A. Sengoku, Solar radiation pressure model for the relay satellite of SELENE, Earth Planets Space, 51, 979–986, 1999.

    Article  Google Scholar 

  • Lambeck, K., Geophysical Geodesy, pp. 284–289, Clarendon Press, Oxford, 1988.

    Google Scholar 

  • Macmillan, W. D., Dynamics of Rigid Body, pp. 181–186, Dover Pub. Inc., New York, 1936.

    Google Scholar 

  • Milani, A., A. M. Nobili, and P. Farinella, Non-gravitational Perturbations and Satellite Geodesy, 125 pp., Universita di Pisa, Italy, 1987.

    Google Scholar 

  • Namiki, N., H. Hanada, T. Tsubokawa, N. Kawano, M. Ooe, K. Heki, T. Iwata, M. Ogawa, T. Takano, and RSAT/VRAD/LALT mission groups (1999), Selenodetic experiments of SELENE: Relay subsatellite, differential VLBI, and laser altimeter, Adv. Space Res., 23, 1817–1820, 1999.

    Article  Google Scholar 

  • Pavlis, D. E., S. Luo, P. Dahiroc, J. J. McCarthy, and S. B. Luthke, GEODYN-II Operations Manual, 428 pp., GSFC of NASA, Greenbelt, Maryland, 1998.

    Google Scholar 

  • Ping, J., Y. Kono, N. Kawano, and K. Matsumoto, How S/C tip-off and free nutation affect Doppler tracking in SELENE, J. Geod. Soc. Japan, 47(1), 576–582, 2001.

    Google Scholar 

  • Sengoku, A., M. K. Cheng, and B. E. Schutz, Anisotropic reflection effect on satellite, Ajisai, J. Geodesy, 70, 140–145, 1995.

    Article  Google Scholar 

Download references

Author information



Corresponding author

Correspondence to Jinsong Ping.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Ping, J., Sengoku, A., Nagaoka, N. et al. How solar radiation pressure acts on RSAT and VSAT with a small evolving tip-off in SELENE. Earth Planet Sp 53, 919–925 (2001).

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI:


  • Orbit Determination
  • Spin Axis
  • Solar Radiation Pressure
  • Lunar Gravity
  • Orbit Insertion