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

Volumn 55, Issue 4, 2007, Pages 503-511

  Iorio, L ^a  

^a NONE   (Italy)

Author keywords

Active spacecraft; Earth gravity field; Lense Thirring effect; Mean anomaly; Passive spacecraft; Polar orbits

Indexed keywords

EARTH (PLANET); GRAVITATIONAL EFFECTS; HARMONIC ANALYSIS; PERTURBATION TECHNIQUES; SATELLITES; SYSTEMATIC ERRORS;

ACTIVE SPACECRAFT; EARTH GRAVITY FIELD; GEOPOTENTIAL; INCLINATION ERRORS; LENSE THIRRING TESTS; MEAN ANOMALY; PASSIVE SPACECRAFT; POLAR ORBITS;

GEOMAGNETISM;

EID: 33846909734     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pss.2006.08.001     Document Type: Article

References (56)

1. Ashby N., and Allison T. Canonical planetary equations for velocity-dependent forces, and the Lense-Thirring precession. Celestial Mech. Dynamical Astron. 57 4 (1993) 537-585
2. Barker B.M., and O'Connell R.F. Effect of the rotation of the central body on the orbit of a satellite. Phys. Rev. D 10 4 (1974) 1340-1342
3. Casotto S., Ciufolini I., Vespe F., and Bianco G. Earth satellites and Gravitomagnetic Field. Il Nuovo Cimento B 105 5 (1990) 589-599
4. Ciufolini I. Measurement of Lense-Thirring drag on high-altitude laser ranged artificial satellite. Phys. Rev. Lett. 56 4 (1986) 278-281
5. Ciufolini I. A comprehensive introduction to the LAGEOS gravitomagnetic experiment: from the importance of the gravitomagnetic field in physics to preliminary error analysis and error budget. Int. J. Mod. Phys. A 4 13 (1989) 3083-3145
6. Ciufolini I. On a new method to measure the gravitomagnetic field using two orbiting satellites. Il Nuovo Cimento A 109 12 (1996) 1709-1720
7. Ciufolini I. The 1995-99 measurements of the Lense-Thirring effect using laser-ranged satellites. Classical Quantum Gravity 17 12 (2000) 2369-2380
8. Ciufolini I. Gravitomagnetic phenomena due to spin, Lense-Thirring effect and its 1995-2000 measurements with Earth satellites. In: Pascual-Sánchez J.F., Floría L., San Miguel A., and Vicente F. (Eds). Proceedings of the XXIII Spanish Relativity Meeting on Reference Frames and Gravitomagnetism (2001), World Scientific, Singapore 35-52
9. Ciufolini I., and Pavlis E.C. A confirmation of the general relativistic prediction of the Lense-Thirring effect. Nature 431 21 October 2004 (2004) 958-960 (Submitted 2 June 2004)
10. Ciufolini I., and Pavlis E.C. 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 Astron. 10 8 (2005) 636-651
11. Ciufolini I., Chieppa F., Lucchesi D.M., and Vespe F. Test of Lense-Thirring orbital shift due to spin. Classical Quantum Gravity 14 10 (1997) 2701-2726
12. Ciufolini I., Pavlis E.C., Chieppa F., Fernandes-Vieira E., and Pérez-Mercader J. Test of general relativity and measurement of the Lense-Thirring effect with two Earth satellites. Science 279 5359 (1998) 2100-2103
13. Cugusi L., and Proverbio E. Relativistic effects on the motion of Earth's artificial satellites. Astron. Astrophys. 69 (1978) 321-325
14. Everitt C.W.F., et al. Gravity probe B: countdown to launch. In: Lämmerzahl C., Everitt C.W.F., and Hehl F.W. (Eds). Gyros, Clocks, Interferometers...: Testing Relativistic Gravity in Space (2001), Springer, Berlin 52-82
15. Förste, C., Flechtner, F., Schmidt, R., Meyer, U., Stubenvoll, R., Barthelmes, F., König, R., Neumayer, K.H., Rothacher, M., Reigber, Ch., Biancale, R., Bruinsma, S., Lemoine, J.-M., Raimondo, J.C., 2005. A new high resolution global gravity field model derived from combination of GRACE and CHAMP mission and altimetry/gravimetry surface gravity data. Poster g004_EGU05-A-04561.pdf presented at EGU General Assembly 2005, Vienna, Austria, 24-29 April 2005.
16. Iorio L. An alternative derivation of the Lense-Thirring drag on the orbit of a test body. Il Nuovo Cimento B 116 7 (2001) 777-789
17. Iorio L. Earth tides and Lense-Thirring effect. Celestial Mech. Dynamical Astron. 79 3 (2001) 201-230
18. Iorio, L., 2002a. Testing general relativity with satellite laser ranging: recent developments. Invited Paper at 34th COSPAR Scientific Assembly Houston, TX, 10-19 October 2002, COSPAR02-A-02121. Adv. Space Res., in press (Preprint).
19. Iorio L. A critical approach to the concept of a polar, low-altitude LARES satellite. Classical Quantum Gravity 19 17 (2002) L175-L183
20. Iorio L. Testing general relativity with LAGEOS, LAGEOS II and Ajisai laser-ranged satellites. J. Geodetic Soc. Jpn. 48 1 (2002) 13-20
21. Iorio L. Is it possible to improve the present LAGEOS-LAGEOS II Lense-Thirring experiment?. Classical Quantum Gravity 19 21 (2002) 5473-5480
22. Iorio L. The impact of the static part of the Earth's gravity field on some tests of general relativity with satellite laser ranging. Celestial Mech. Dynamical Astron. 86 3 (2003) 277-294
23. Iorio L. Recent developments in testing general relativity with space geodetic techniques. In: Lynch T.V. (Ed). Horizons in World Physics vol. 245 (2004), Nova, Hauppauge, New York 1-25
24. Iorio L. The impact of the new CHAMP and GRACE Earth gravity models on the measurement of the general relativistic Lense-Thirring effect with the LAGEOS and LAGEOS II satellites. In: Reigber Ch., Lühr H., Schwintzer P., and Wickert J. (Eds). Earth Observation with CHAMP-Results from Three Years in Orbit (2005), Springer, Berlin 187-192. http://www.arxiv.org/abs/gr-qc/0309092 (Preprint 〈http://www.arxiv.org/abs/gr-qc/0309092〉)
25. Iorio L. On the reliability of the so far performed tests for measuring the Lense-Thirring effect with the LAGEOS satellites. New Astron. 10 8 (2005) 603-615
26. Iorio L. The impact of the new Earth gravity models on the measurement of the Lense-Thirring effect with a new satellite. New Astron. 10 8 (2005) 616-635
27. Iorio L. Is it possible to measure the Lense-Thirring effect on the orbits of the planets in the gravitational field of the Sun?. Astron. Astrophys. 431 1 (2005) 385-389
28. Iorio, L., 2005e. First preliminary evidence of the general relativistic gravitomagnetic field of the Sun and new constraints on a Yukawa-like fifth force (Preprint).
29. Iorio L. On the impossibility of using the longitude of the ascending node of GP-B for measuring the Lense-Thirring effect. Gen. Relativity Gravitation 37 2 (2005) 1-8
30. Iorio L. The new Earth gravity models and the measurement of the Lense-Thirring effect. Paper Presented at the Tenth Marcel Grossmann Meeting on General Relativity Rio de Janeiro, July 20-26, 2003. In: Novello M., Perez-Bergliaffa S., and Ruffini R.J. (Eds). Proceedings of the 10th Marcel Grossmann Meeting on General Relativity (2006), World Scientific, Singapore 1011-1020. http://www.arxiv.org/abs/gr-qc/0308022 (Preprint 〈http://www.arxiv.org/abs/gr-qc/0308022〉)
31. Iorio L. A critical analysis of a recent test of the Lense-Thirring effect with the LAGEOS satellites. J. Geodesy 80 3 (2006) 128-136
32. Iorio, L., 2006c. Evidence of the gravitomagnetic field of Mars. Classical Quantum Gravity 23 (17), 5451-5454.
33. Iorio L. The impact of the new Earth gravity model EIGEN-CG03C on the measurement of the Lense-Thirring effect with some existing Earth satellites. Gen. Relativity Gravitation 38 3 (2006) 523-527
34. Iorio L., and Doornbos E. How to reach a few percent level in determining the Lense-Thirring effect?. Gen. Relativity Gravitation 37 6 (2005) 1059-1074
35. Iorio L., and Morea A. The impact of the new Earth gravity models on the measurement of the Lense-Thirring effect. Gen. Relativity Gravitation 36 6 (2004) 1321-1333. http://www.arxiv.org/abs/gr-qc/0304011 (Preprint 〈http://www.arxiv.org/abs/gr-qc/0304011〉)
36. Lense J., and Thirring H. Über den Einfluss der Eigenrotation der Zentralkörper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie. Phys. Z. 19 (1918) 156-163 Translated and discussed by Mashhoon, B., Hehl, F.W., Theiss, D.S., 1984. On the Gravitational Effects of Rotating Masses: The Thirring-Lense Papers. Gen. Relativity Gravitation 16(8), 711-750. Reprinted in: Ruffini, R.J., Sigismondi, C. (Eds.), 2003. Nonlinear Gravitodynamics. World Scientific, Singapore, pp. 349-388.
37. Lucchesi D.M. The impact of the even zonal harmonics secular variations on the Lense-Thirring effect measurement with the two Lageos satellites. Int. J. Mod. Phys. D 14 12 (2005) 1989-2023
38. Mashhoon B., Gronwald F., and Lichtenegger H. Gravitomagnetism and the clock effect. In: Lämmerzahl C., Everitt C.W.F., and Hehl F.W. (Eds). Gyros, Clocks, Interferometers...: Testing Relativistic Gravity in Space (2001), Springer, Berlin 83-108
39. Nordtevdt K. Gravitomagnetic interaction and laser ranging to Earth satellites. Phys. Rev. Lett. 61 23 (1988) 2647-2649
40. Nordtvedt K. Some considerations on the varieties of frame dragging. In: Ruffini R.J., and Sigismondi C. (Eds). Nonlinear Gravitodynamics. The Lense-Thirring Effect (2003), World Scientific, Singapore 35-45
41. Peterson, G.E., 1997. Estimation of the Lense-Thirring precession using laser-ranged satellites. CSR-97-1, Center for Space Research, The University of Texas at Austin.
42. Pitjeva E.V. Relativistic effects and solar oblateness from radar observations of planets and spacecraft. Astron. Lett. 31 5 (2005) 340-349
43. Reigber Ch., Schmidt R., Flechtner F., König R., Meyer U., Neumayer K.-H., Schwintzer P., and Zhu S.Y. An Earth gravity field model complete to degree and order 150 from GRACE: EIGEN-GRACE02S. J. Geodynamics 39 1 (2005) 1-10
44. Reigber, Ch., Schwintzer, P., Stubenvoll, R., Schmidt, R., Flechtner, F., Meyer, U., König, R., Neumayer, H., Förste, Ch., Barthelmes, F., Zhu, S.Y., Balmino, G., Biancale, R., Lemoine, J.-M., Meixner, H., Raimondo, J.C., 2006. A high resolution global gravity field model combining CHAMP and GRACE satellite mission and surface gravity data: EIGEN-CG01C. J. Geodesy, in press.
45. Ries, J.C., Eanes, R.J., Watkins, M.M., Tapley, B., 1989. Joint NASA/ASI study on measuring the Lense-Thirring precession using a second LAGEOS satellite. CSR-89-3, Center for Space Research, The University of Texas at Austin.
46. Ries, J.C., Eanes, R.J., Tapley, B.D., 2003a. Lense-Thirring precession determination from laser ranging to artificial satellites. In: Ruffini, R., Sigismondi, C. (Eds.), Nonlinear Gravitodynamics. The Lense-Thirring Effect. World Scientific, Singapore, pp. 201-211.
47. Ries, J.C., Eanes, R.J., Tapley, B.D., Peterson, G.E., 2003b. Prospects for an improved Lense-Thirring test with SLR and the GRACE gravity mission. In: Noomen, R., Klosko, S., Noll, C., Pearlman, M. (Eds.), Proceedings of the 13th International Laser Ranging Workshop, NASA CP 2003-212248. NASA Goddard, Greenbelt (Preprint 〈http://cddisa.gsfc.nasa.gov/lw13/lw_proceedings.html#science〉).
48. Roy A.E. Orbital Motion. fourth ed. (2003), Institute of Physics Publishing, Bristol
49. Ruggiero M.L., and Tartaglia A. Gravitomagnetic effects. Il Nuovo Cimento B 117 7 (2002) 743-767
50. Schiff L. On experimental tests of the general theory of relativity. Am. J. Phys. 28 4 (1960) 340-343
51. Sereno M. Gravitational lensing by stars with angular momentum. Mon. Not. R. Astron. Soc. 344 3 (2003) 942-950
52. Sereno M. Detecting gravitomagnetism with rotation of polarization by a gravitational lens. Mon. Not. R. Astron. Soc. 356 1 (2005) 381-385
53. Sereno M. On gravitomagnetic time-delay by extended lenses. Mon. Not. R. Astron. Soc. 357 4 (2005) 1205-1210
54. Soffel M.H. Relativity in Astrometry, Celestial Mechanics and Geodesy (1989), Springer, Berlin
55. Stella L., Cui W., Chen W., Zhang S.N., Van Der Klis M., Karas V., Semerák O., De Felice F., Dovčiak M., Casini H., Montemayor R., Morsink S.M., Silbergleit A.S., Wagoner R.V., Khanna R., Markovic D., and Lamb F.K. Section E: probing the gravitomagnetic Lense-Thirring effect with neutron stars and black holes. In: Ruffini R.J., and Sigismondi C. (Eds). Nonlinear Gravitodynamics. The Lense-Thirring Effect (2003), World Scientific, Singapore 235-345
56. Vespe F., and Rutigliano P. The improvement of the Earth gravity field estimation and its benefits in the atmosphere and fundamental physics. Adv. Space Res. 36 3 (2005) 472-485