The INPOP10a planetary ephemeris and its applications in fundamental physics

  • A. Fienga
  • J. Laskar
  • P. Kuchynka
  • H. Manche
  • G. Desvignes
  • M. Gastineau
  • I. Cognard
  • G. Theureau
Original Article

Abstract

Compared to the previous INPOP versions, the INPOP10a planetary and lunar ephemeris has several improvements. For the planets of our Solar System, no big change was brought in the dynamics but improvements were implemented in the fitting process, the data sets used in the fit and in the selection of fitted parameters. We report here the main characteristics of the planetary part of INPOP10a like the fit of the product of the solar mass with the gravitational constant (\({{\rm GM}_{\odot}}\)) instead of the astronomical unit. Determinations of PPN parameters as well as adjustments of the Sun J2 and of asteroid masses are also presented. New advances of nodes and perihelia of planets were also estimated and are given here. As for INPOP08, INPOP10a provides to the user, positions and velocities of the planets, the Moon, the rotation angles of the Earth and the Moon as well as TT-TDB Chebyshev polynomials at http://www.imcce.fr/inpop.

Keywords

Planetary ephemerides Celestial Mechanics Fundamental physics Asteroid masses 

Supplementary material

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References

  1. Baer J., Chesley S.R.: Astrometric masses of 21 asteroids, and an integrated asteroid ephemeris. Celest. Mech. Dyn. Astron. 100, 27–42 (2008)MathSciNetADSMATHCrossRefGoogle Scholar
  2. Baer, J., Chesley, S.R., Matson, R.: Astrometric masses of 28 asteroids, and observations on asteroid porosity. AJ (2011, in press)Google Scholar
  3. Bartel N., Chandler J.F., Ratner M.I., Shapiro I.L., Pan R., Cappallo R.J.: Toward a frame TI via millisecond pulsar VLBI. AJ 112, 1690 (1996)ADSCrossRefGoogle Scholar
  4. Bertotti B., Iess L., Tortora P.: A test of general relativity using radio links with the Cassini spacecraft. Nature 425, 374–376 (2003)ADSCrossRefGoogle Scholar
  5. Cavanaugh J.F., Smith J.C., Sun X., Bartels A.E., Ramos-Izquierdo L., Krebs D.J., McGarry J.F., Trunzo R., Novo-Gradac A.M., Britt J.L., Karsh J., Katz R.B., Lukemire A.T., Szymkiewicz R., Berry D.L., Swinski J.P., Neumann G.A., Zuber M.T., Smith D.E.: The Mercury Laser altimeter instrument for the MESSENGER Mission. Space Sci. Rev. 131, 451–479 (2007)ADSCrossRefGoogle Scholar
  6. Chatterjee S., Brisken W.F., Vlemmings W.H.T., Goss W.M., Lazio T.J.W., Cordes J.M., Thorsett S.E., Fomalont E.B., Lyne A.G., Kramer M.: Precision astrometry with the very long baseline array: parallaxes and proper motions for 14 pulsars. ApJ 698, 250–265 (2009)ADSCrossRefGoogle Scholar
  7. Chatterjee S., Cordes J.M., Lazio T.J.W., Goss W.M., Fomalont E.B., Benson J.M.: Parallax and kinematics of PSR B0919+06 from VLBA astrometry and interstellar scintillometry. ApJ 550, 287–296 (2001)ADSCrossRefGoogle Scholar
  8. Deller A.T., Tingay S.J., Brisken W.: Precision Southern hemisphere pulsar VLBI astrometry: techniques and results for PSR J1559-4438. ApJ 690, 198–209 (2009)ADSCrossRefGoogle Scholar
  9. Desvignes, G.: les pulsars. PhD in astronomy, Observatoire de Paris (2009)Google Scholar
  10. Fienga, A., Laskar, J., Kuchynka, P., Le Poncin-Lafitte, C., Manche, H., Gastineau, M.: Gravity tests with INPOP planetary ephemerides. American Astronomical Society, IAU Symposium #261. In: Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and Data Analysis, 27 April–1 May 2009 Virginia Beach, VA, USA, #6.02; Bulletin of the American Astronomical Society, Vol.~41, p. 881, Vol. 261, p. 602 (2010)Google Scholar
  11. Fienga A., Laskar J., Morley T., Manche H., Kuchynka P., Le Poncin-Lafitte C., Budnik F., Gastineau M., Somenzi L.: INPOP08, a 4-D planetary ephemeris: from asteroid and time-scale computations to ESA Mars Express and Venus Express contributions. A&A 507, 1675–1686 (2009)ADSCrossRefGoogle Scholar
  12. Fienga, A., Manche, H., Kuchynka, P., Laskar, J., Gastineau, M.: Planetary and Lunar ephemerides, INPOP10A. In: Journées Systèmes de Référence Spatio-temporels 2010, Journees Systemes de references (2010)Google Scholar
  13. Folkner, W.M.: Private communication (2009)Google Scholar
  14. Folkner, W.M.: Private communication (2010)Google Scholar
  15. Folkner W.M., Charlot P., Finger M.H., Williams J.G., Sovers O.J., Newhall X., Standish E.M. Jr.: Determination of the extragalactic-planetary frame tie from joint analysis of radio interferometric and lunar laser ranging measurements. A&A 287, 279–289 (1994)ADSGoogle Scholar
  16. Folkner, W.M., Williams, J.G., Boggs, D.H.: Jpl planetary and lunar ephemerides de421. JPL Interoffice Memorandum IOM 312.F-98-048 (2008)Google Scholar
  17. Han J.L., Tian W.W.: Pulsars identified from the NRAO VLA Sky survey. A&AS 136, 571–577 (1999)ADSCrossRefGoogle Scholar
  18. Jones D.L., Fomalont E., Dhawan V., Romney J., Folkner W.M., Lanyi G., Border J., Jacobson R.A.: Very long baseline array astrometric observations of the Cassini Spacecraft at Saturn. AJ 141, 29 (2011)ADSCrossRefGoogle Scholar
  19. Kochetova O.M.: Determination of large asteroid masses by the dynamical method. Solar Syst. Res. 38, 66–75 (2004)ADSCrossRefGoogle Scholar
  20. Konopliv A.S., Asmar S.W., Folkner W.M., Karatekin Ö., Nunes D.C., Smrekar S.E., Yoder C.F., Zuber M.T.: Mars high resolution gravity fields from MRO, Mars seasonal gravity, and other dynamical parameters. Icarus 211, 401–428 (2011)ADSCrossRefGoogle Scholar
  21. Kuchynka, P.: Etude des perturbations induites par les asteroïdes sur les mouvements des planetes et des sondes spatiales autour du point de Lagrange L2. PhD in astronomy, Observatoire de Paris (2010)Google Scholar
  22. Kuchynka P., Laskar J., Fienga A., Manche H.: A ring as a model of the main belt in planetary ephemerides. A&A 514, A96 (2010)ADSCrossRefGoogle Scholar
  23. Lambert S.B., Le Poncin-Lafitte C.: Determining the relativistic parameter γ using very long baseline interferometry. A&A 499, 331–335 (2009)ADSMATHCrossRefGoogle Scholar
  24. Lawson Charles L., Hanson Richard J.: Solving least squares problems. SIAM, Philadelphia, PA (1995)MATHCrossRefGoogle Scholar
  25. Manche, H., Fienga, A., Laskar, J., Gastineau, M., Bouquillon, S., Francou, G., Kuchynka, P.: LLR residuals of the latest INPOP solution and constraints on post-Newtonian parameters. In: Journées Systèmes de Référence Spatio-temporels 2010. Journees Systemes de references (2010)Google Scholar
  26. Marchis F., Descamps P., Baek M., Harris A.W., Kaasalainen M., Berthier J., Hestroffer D., Vachier F.: Main belt binary asteroidal systems with circular mutual orbits. Icarus 196, 97–118 (2008)ADSCrossRefGoogle Scholar
  27. Marchis F., Descamps P., Berthier J., Hestroffer D., Vachier F., Baek M., Harris A.W., Nesvorný D.: Main belt binary asteroidal systems with eccentric mutual orbits. Icarus 195, 295–316 (2008)ADSCrossRefGoogle Scholar
  28. McCarthy, D.D., Petit, G.: IERS technical note no 32. Technical report, IERS Convention Centre (2003). http://www.iers.org/iers/publications/tn/tn32/
  29. Morley, T.: Private communication (2009)Google Scholar
  30. Morley, T.: Private communication (2010)Google Scholar
  31. Müller J., Soffel M., Klioner S.A.: Geodesy and relativity. J. Geodesy 82, 133–145 (2008)ADSMATHCrossRefGoogle Scholar
  32. Nunes, N.V., Bartel, N.: Astrometry of the Planetary-System Millisecond Pulsar B1257+12. In: Zensus, J.A., Taylor, G.B., Wrobel, J.M., (Eds.) IAU Colloq. 164: Radio Emission from Galactic and Extragalactic Compact Sources, Vol. 144 of Astronomical Society of the Pacific Conference Series, p. 331 (1998)Google Scholar
  33. Petit, G.: Observations VLBI de pulsars. PhD in astronomy, Observatoire de Paris (1994)Google Scholar
  34. Pitjeva, E.V.: EPM ephemerides and relativity. In: Klioner, S.A., Seidelmann, P.K., Soffel, M.H., (Eds.) IAU Symposium, Vol. 261 of IAU Symposium, pp. 170–178 (2010)Google Scholar
  35. Shapiro, I.I., Knight, C.A.: Geophysical Applications of Long-Baseline Radio Interferometry. In: Mansinha, L., Smylie, D.E., Beck, A.E. (Eds.) Earthquake Displacement Field and the Rotation of the Earth, Vol.~20 of Astrophysics and Space Science Library, p. 284 (1970)Google Scholar
  36. Sicardy, B.: Private communication (2009)Google Scholar
  37. Smith D.E., Zuber M.T., Phillips R.J., Solomon S.C., Neumann G.A., Lemoine F.G., Peale S.J., Margot J.-L., Torrence M.H., Talpe M.J., Head J.W., Hauck S.A., Johnson C.L., Perry M.E., Barnouin O.S., McNutt R.L., Oberst J.: The equatorial shape and gravity field of Mercury from MESSENGER flybys 1 and 2. Icarus 209, 88–100 (2010)ADSCrossRefGoogle Scholar
  38. Srinivasan D.K., Perry M.E., Fielhauer K.B., Smith D.E., Zuber M.T.: The radio frequency subsystem and radio science on the MESSENGER mission. Space Sci. Rev. 131, 557–571 (2007)ADSCrossRefGoogle Scholar
  39. Standish E.M., Fienga A.: Accuracy limit of modern ephemerides imposed by the uncertainties in asteroid masses. A&A 384, 322–328 (2002)ADSCrossRefGoogle Scholar
  40. Standish E.M. Jr.: The observational basis for JPL’s DE 200, the planetary ephemerides of the Astronomical Almanac. A&A 233, 252–271 (1990)ADSGoogle Scholar
  41. Standish, Jr. E.M.: Jpl planetary and lunar ephemerides de405. JPL Interoffice Memorandum IOM 312.F-98-048 (1998)Google Scholar
  42. Stark P.B., Parker R.L.: Bounded-variable least-squares: an algorithm and applications. Comput. Stat. 10, 129–141 (1995)MATHGoogle Scholar
  43. Taylor J.H., Manchester R.N., Lyne A.G.: Catalog of 558 pulsars. ApJS 88, 529–568 (1993)ADSCrossRefGoogle Scholar
  44. Tedesco E.F., Cellino A., Zappalá V.: The statistical asteroid model. I. The main-belt population for diameters greater than 1 kilometer. AJ 129, 2869–2886 (2005)ADSCrossRefGoogle Scholar
  45. Tedesco E.F., Noah P.V., Noah M., Price S.D.: The supplemental IRAS minor planet survey. AJ 123, 1056–1085 (2002)ADSCrossRefGoogle Scholar
  46. Turner, S.: Messenger spice kernels v1.0. Mess-e/v/h-spice-6-v1.0, NASA Planet. Data Syst. (2007)Google Scholar
  47. Williams, J.G., Turychev, S.G., Boggs, D.H.: LLR tests of the equivalence principle with the Earth and Moon. ArXiv e-prints, (2009)Google Scholar
  48. Yeomans D.K., Barriot J.-P., Dunham D.W., Farquhar R.W., Giorgini J.D., Helfrich C.E., Konopliv A.S., McAdams J.V., Miller J.K., Owen W.M. Jr., Scheeres D.J., Synnott S.P., Williams B.G.: Estimating the mass of asteroid 253 mathilde from tracking data during the NEAR flyby. Science 278, 2106 (1997)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • A. Fienga
    • 1
  • J. Laskar
    • 2
  • P. Kuchynka
    • 2
  • H. Manche
    • 2
  • G. Desvignes
    • 3
  • M. Gastineau
    • 2
  • I. Cognard
    • 3
  • G. Theureau
    • 3
  1. 1.Institut UTINAM-CNRS 6213BesanconFrance
  2. 2.IMCCE-CNRS 8028ParisFrance
  3. 3.LPCE-CNRS 6115OrléansFrance

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