Table of Contents
Scholarly Research Exchange
Volume 2008, Article ID 105235, 5 pages
http://dx.doi.org/10.3814/2008/105235
Research Article

Advances in the Measurement of the Lense-Thirring Effect with Planetary Motions in the Field of the Sun

Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Pisa, 56127 Pisa, Italy

Received 4 September 2008; Revised 22 September 2008; Accepted 11 October 2008

Copyright © 2008 Lorenzo Iorio. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. Mashhoon, “Gravitoelectromagnetism,” in Reference Frames and Gravitomagnetism, J. F. Pascual-Sánchez, L. Floría, A. San Miguel, and F. Vicente, Eds., pp. 121–132, World Scientific, Singapore, 2001. View at Google Scholar
  2. B. Mashhoon, “Gravitoelectromagnetism: a brief review,” in The Measurement of Gravitomagnetism: A Challenging Enterprise, L. Iorio, Ed., pp. 29–39, NOVA Science, Hauppauge, NY, USA, 2007. View at Google Scholar
  3. M. L. Ruggiero and A. Tartaglia, “Gravitomagnetic effects,” Nuovo Cimento della Societa Italiana di Fisica B, vol. 117, no. 7, pp. 743–767, 2002. View at Google Scholar
  4. G. Schäfer, “Gravitomagnetic effects,” General Relativity and Gravitation, vol. 36, no. 10, pp. 2223–2235, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  5. G. E. Pugh, “Proposal for a satellite test of the coriolis prediction of general relativity,” Weapon System Evaluation Group Research Memorandum no. 11, The Pentagon, Washington, DC, USA, 1959.
  6. L. I. Schiff, “Possible new experimental test of general relativity theory,” Physical Review Letters, vol. 4, no. 5, pp. 215–217, 1960. View at Publisher · View at Google Scholar
  7. C. W. F. Everitt, “The gyroscope experiment I. General description and analysis of gyroscope performance,” in Experimental Gravitation: Proceedings of Course 56 of the International School of Physics “Enrico Fermi”, B. Bertotti, Ed., pp. 331–360, Academic Press, New York, NY, USA, 1974. View at Google Scholar
  8. J. Lense and H. Thirring, “Über den einfluss der eigenrotation der zentralkörper auf die bewegung der planeten und monde nach der einsteinschen gravitationstheorie,” Physikalische Zeitschrift, vol. 19, pp. 156–163, 1918. View at Google Scholar
  9. I. Ciufolini and E. C. Pavlis, “A confirmation of the general relativistic prediction of the Lens-Thirring effect,” Nature, vol. 431, no. 7011, pp. 958–960, 2004. View at Publisher · View at Google Scholar · View at PubMed
  10. I. Ciufolini and E. Pavlis, “On the measurement of the Lense-Thirring effect using the nodes of the LAGEOS satellites, in reply to “on the reliability of the so-far performed tests for measuring the Lense-Thirring effect with the LAGEOS satellites” by L. Iorio,” New Astronomy, vol. 10, no. 8, pp. 636–651, 2005. View at Publisher · View at Google Scholar
  11. L. Iorio, “The impact of the new Earth gravity models on the measurement of the Lense-Thirring effect with a new satellite,” New Astronomy, vol. 10, no. 8, pp. 616–635, 2005. View at Publisher · View at Google Scholar
  12. L. Iorio, “A critical analysis of a recent test of the Lense-Thirring effect with the LAGEOS satellites,” Journal of Geodesy, vol. 80, no. 3, pp. 128–136, 2006. View at Publisher · View at Google Scholar
  13. L. Iorio, “An assessment of the measurement of the Lense-Thirring effect in the Earth gravity field, in reply to: “on the measurement of the Lense-Thirring effect using the nodes of the LAGEOS satellites, in reply to “on the reliability of the so far performed tests for measuring the Lense-Thirring effect with the LAGEOS satellites” by L. Iorio,” by I. Ciufolini and E. Pavlis,” Planetary and Space Science, vol. 55, no. 4, pp. 503–511, 2007. View at Publisher · View at Google Scholar
  14. D. M. Lucchesi, “The impact of the even zonal harmonics secular variations on the Lense-Thirring effect measurement with the two LAGEOS satellites,” International Journal of Modern Physics D, vol. 14, no. 12, pp. 1989–2023, 2005. View at Publisher · View at Google Scholar
  15. L. Iorio, “A note on the evidence of the gravitomagnetic field of Mars,” Classical and Quantum Gravity, vol. 23, no. 17, pp. 5451–5454, 2006. View at Publisher · View at Google Scholar
  16. K. Krogh, “Comment on ‘evidence of the gravitomagnetic field of Mars’,” Classical and Quantum Gravity, vol. 24, no. 22, pp. 5709–5715, 2007. View at Publisher · View at Google Scholar
  17. L. Iorio, “Reply to “Comment on ‘Evidence of the gravitomagnetic field of Mars’”, by Kris Krogh,” Journal of Gravitational Physics. In press.
  18. H. Pfister, “On the history of the so-called Lense-Thirring effect,” General Relativity and Gravitation, vol. 39, no. 11, pp. 1735–1748, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  19. M. R. Haas and D. K. Ross, “Measurement of the angular momentum of Jupiter and the Sun by use of the Lense-Thirring effect,” Astrophysics and Space Science, vol. 32, no. 1, pp. 3–11, 1975. View at Publisher · View at Google Scholar
  20. W. de Sitter, “Einstein's theory of gravitation and its astronomical consequences,” Monthly Notices of the Royal Astronomical Society, vol. 76, pp. 699–728, 1916. View at Google Scholar
  21. M. Soffel, Relativity in Astrometry, Celestial Mechanics and Geodesy, Springer, Berlin, Germany, 1989.
  22. L. Cugusi and E. Proverbio, “Relativistic effects on the motion of Earth's artificial satellites,” Astronomy & Astrophysics, vol. 69, pp. 321–325, 1978. View at Google Scholar
  23. F. P. Pijpers, “Helioseismic determination of the solar gravitational quadrupole moment,” Monthly Notices of the Royal Astronomical Society, vol. 297, no. 3, pp. L76–L80, 1998. View at Publisher · View at Google Scholar
  24. F. P. Pijpers, “Asteroseismic determination of stellar angular momentum,” Astronomy & Astrophysics, vol. 402, no. 2, pp. 683–692, 2003. View at Publisher · View at Google Scholar
  25. L. Iorio, “Is it possible to measure the Lense-Thirring effect on the orbits of the planets in the gravitational field of the Sun?,” Astronomy & Astrophysics, vol. 431, no. 1, pp. 385–389, 2005. View at Publisher · View at Google Scholar
  26. E. V. Pitjeva, “Relativistic effects and solar oblateness from radar observations of planets and spacecraft,” Astronomy Letters, vol. 31, no. 5, pp. 340–349, 2005. View at Publisher · View at Google Scholar
  27. E. V. Pitjeva, “High-precision ephemerides of planets-EPM and determination of some astronomical constants,” Solar System Research, vol. 39, no. 3, pp. 176–186, 2005. View at Publisher · View at Google Scholar
  28. L. Iorio, “First preliminary tests of the general relativistic gravitomagnetic field of the Sun and new constraints on a Yukawa-like fifth force from planetary data,” Planetary and Space Science, vol. 55, no. 10, pp. 1290–1298, 2007. View at Publisher · View at Google Scholar
  29. E. V. Pitjeva, “National high-precision ephemerides of planets and the Moon—EPM,” in Proceedings of the Institute for Applied Astronomy, Russian Academy of Sciences, vol. 17, pp. 42–59, Russian Academy of Sciences, St. Petersburg, Russia, 2007.
  30. E. V. Pitjeva, “A giant step - from milli- to micro-arcsecond astrometry,” in Proceedings of the International Astronomical Union Symposium (IAU '07), W. J. Jin, I. Platais, and M. A. C. Perryman, Eds., pp. 20–22, Cambridge University Press, Shanghai, China, October 2007, paper no. 248.
  31. S. Pireaux and J.-P. Rozelot, “Solar quadrupole moment and purely relativistic gravitation contributions to Mercury's perihelion advance,” Astrophysics and Space Science, vol. 284, no. 4, pp. 1159–1194, 2003. View at Publisher · View at Google Scholar
  32. M. Capderou, Satellites: Orbits and Missions, Springer, Paris, France, 2005.
  33. J. G. Beck and P. Giles, “Helioseismic determination of the solar rotation axis,” The Astrophysical Journal Letters, vol. 621, no. 2, pp. L153–L156, 2005. View at Publisher · View at Google Scholar
  34. A. Fienga, H. Manche, J. Laskar, and M. Gastineau, “INPOP06: a new numerical planetary ephemeris,” Astronomy & Astrophysics, vol. 477, no. 1, pp. 315–327, 2008. View at Publisher · View at Google Scholar
  35. I. W. Roxburgh, “Gravitational multipole moments of the Sun determined from helioseismic estimates of the internal structure and rotation,” Astronomy & Astrophysics, vol. 377, no. 2, pp. 688–690, 2001. View at Publisher · View at Google Scholar
  36. R. Mecheri, T. Abdelatif, A. Irbah, J. Provost, and G. Berthomieu, “New values of gravitational moments J2 and J4 deduced from helioseismology,” Solar Physics, vol. 222, no. 2, pp. 191–197, 2004. View at Publisher · View at Google Scholar
  37. L. Iorio, “Dynamical determination of the mass of the Kuiper Belt from motions of the inner planets of the Solar system,” Monthly Notices of the Royal Astronomical Society, vol. 375, no. 4, pp. 1311–1314, 2007. View at Publisher · View at Google Scholar
  38. G. A. Krasinsky, E. V. Pitjeva, M. V. Vasilyev, and E. I. Yagudina, “Hidden mass in the asteroid belt,” Icarus, vol. 158, no. 1, pp. 98–105, 2002. View at Publisher · View at Google Scholar
  39. T. Damour and G. Schäfer, “Higher-order relativistic periastron advances and binary pulsars,” Il Nuovo Cimento B, vol. 101, no. 2, pp. 127–176, 1988. View at Publisher · View at Google Scholar
  40. E. M. Standish, “Planetary and Lunar Ephemerides: testing alternate gravitational theories,” in Recent Developments in Gravitation and Cosmology: Proceedings of the 3rd Mexican Meeting on Mathematicaland Experimental Physics, A. Macías, C. Lämmerzahl, and A. Camacho, Eds., vol. 977, pp. 254–263, American Institute of Physics, Mexico City, Mexico, March 2008. View at Publisher · View at Google Scholar
  41. M. M. Nieto, “The quest to understand the Pioneer anomaly,” Europhysics News, vol. 37, no. 6, pp. 30–34, 2006. View at Google Scholar
  42. M.-T. Jaekel and S. Reynaud, “Gravity tests in the solar system and the Pioneer anomaly,” Modern Physics Letters A, vol. 20, no. 14, pp. 1047–1055, 2005. View at Publisher · View at Google Scholar
  43. L. Iorio, “Can the Pioneer anomaly be induced by velocity-dependent forces? Tests in the outer regions of solar system with planetary dynamics,” International Journal of Modern Physics D. In press.
  44. L. Iorio and G. Giudice, “What do the orbital motions of the outer planets of the Solar System tell us about the Pioneer anomaly?,” New Astronomy, vol. 11, no. 8, pp. 600–607, 2006. View at Publisher · View at Google Scholar
  45. R. H. Sanders, “Solar system constraints on multifield theories of modified dynamics,” Monthly Notices of the Royal Astronomical Society, vol. 370, no. 3, pp. 1519–1528, 2006. View at Publisher · View at Google Scholar
  46. A. Lue and G. Starkman, “Gravitational leakage into extra dimensions: probing dark energy using local gravity,” Physical Review D, vol. 67, no. 6, Article ID 064002, 9 pages, 2003. View at Publisher · View at Google Scholar
  47. G. Dvali, G. Gabadadze, and M. Porrati, “4D gravity on a brane in 5D Minkowski space,” Physics Letters B, vol. 485, no. 1–3, pp. 208–214, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  48. K. Izumi, K. Koyama, O. Pujolàs, and T. Tanaka, “Bubbles in the self-accelerating universe,” Physical Review D, vol. 76, no. 10, Article ID 104041, 9 pages, 2007. View at Publisher · View at Google Scholar