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. A. Einstein, “Kosmologische betrachtungen zur allgemeinen relativitätstheorie,” Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften, pp. 142–152, 1917.
2. E. Hubble, “A relation between distance and radial velocity among extra-galactic nebulae,” Proceedings of the National Academy of Sciences of the United States of America, vol. 15, no. 3, pp. 168–173, 1929. View at Publisher · View at Google Scholar
3. S. Perlmutter, G. Aldering, G. Goldhaber, et al., “Measurements of $\Omega$ and $\Lambda$ from 42 high-redshift supernovae,” The Astrophysical Journal, vol. 517, no. 2, pp. 565–586, 1999. View at Publisher · View at Google Scholar
4. A. G. Riess, A. V. Filippenko, P. Challis, et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” The Astronomical Journal, vol. 116, no. 3, pp. 1009–1038, 1998. View at Publisher · View at Google Scholar
5. P. J. Peebels and B. Ratra, “The cosmological constant and dark energy,” Reviews of Modern Physics, vol. 75, no. 2, pp. 559–606, 2003. View at Publisher · View at Google Scholar
6. S. M. Carroll, “The cosmological constant,” Living Reviews in Relativity, vol. 4, no. 1, pp. 1–78, 2001.
7. S. Weinberg, “The cosmological constant problem,” Reviews of Modern Physics, vol. 61, no. 1, pp. 1–23, 1989. View at Publisher · View at Google Scholar
8. G. S. Adkins, J. McDonnell, and R. N. Fell, “Cosmological perturbations on local systems,” Physical Review D, vol. 75, no. 6, Article ID 064011, 9 pages, 2007. View at Publisher · View at Google Scholar
9. G. S. Adkins and J. McDonnell, “Orbital precession due to central-force perturbations,” Physical Review D, vol. 75, no. 8, Article ID 082001, 7 pages, 2007. View at Publisher · View at Google Scholar
10. J. F. Cardona and J. M. Tejeiro, “Can interplanetary measures bound the cosmological constant?” The Astrophysical Journal, vol. 493, pp. 52–53, 1998. View at Publisher · View at Google Scholar
11. Yu. V. Dumin, “Testing the “dark-energy”-dominated cosmology via the solar-system experiments,” preprint, 2006, http://arxiv.org/abs/astro-ph/0507381.
12. L. Iorio, “Can solar system observations tell us something about the cosmological constant?” International Journal of Modern Physics D, vol. 15, no. 4, pp. 473–475, 2006. View at Publisher · View at Google Scholar
13. J. N. Islam, “The cosmological constant and classical tests of general relativity,” Physics Letters A, vol. 97, no. 6, pp. 239–241, 1983. View at Publisher · View at Google Scholar
14. Ph. Jetzer and M. Sereno, “Two-body problem with the cosmological constant and observational constraints,” Physical Review D, vol. 73, no. 4, Article ID 044015, 6 pages, 2006. View at Publisher · View at Google Scholar
15. V. Kagramanova, J. Kunz, and C. Lämmerzahl, “Solar system effects in Schwarzschild-de Sitter space-time,” Physics Letters B, vol. 634, no. 5-6, pp. 465–470, 2006. View at Publisher · View at Google Scholar
16. A. W. Kerr, J. C. Hauck, and B. Mashhoon, “Standard clocks, orbital precession and the cosmological constant,” Classical and Quantum Gravity, vol. 20, no. 13, pp. 2727–2736, 2003. View at Publisher · View at Google Scholar
17. G. V. Kraniotis and S. B. Whitehouse, “Compact calculation of the perihelion precession of mercury in general relativity, the cosmological constant and Jacobi's inversion problem,” Classical and Quantum Gravity, vol. 20, no. 22, pp. 4817–4835, 2003. View at Publisher · View at Google Scholar
18. M. Sereno and Ph. Jetzer, “Solar and stellar system tests of the cosmological constant,” Physical Review D, vol. 73, no. 6, Article ID 063004, 5 pages, 2006. View at Publisher · View at Google Scholar
19. M. Sereno and Ph. Jetzer, “Evolution of gravitational orbits in the expanding universe,” Physical Review D, vol. 75, no. 6, Article ID 064031, 8 pages, 2007. View at Publisher · View at Google Scholar
20. E. L. Wright, “Interplanetary measures can not bound the cosmological constant,” preprint, 1998, http://arxiv.org/abs/astro-ph/9805292v1.
21. W. Rindler, Relativity: Special, General, and Cosmological, Oxford University Press, Oxford, UK, 2001.
22. Z. Stuchlík and S. Hledík, “Some properties of the Schwarzschild-de Sitter and Schwarzschild-anti-de Sitter spacetimes,” Physical Review D, vol. 60, no. 4, Article ID 044006, 15 pages, 1999. View at Publisher · View at Google Scholar
23. F. Kottler, “Über die physikalischen grundlagen der Einsteinschen gravitationstheorie,” Annalen der Physik, vol. 361, no. 14, pp. 401–462, 1918. View at Publisher · View at Google Scholar
24. A. E. Roy, Orbital Motion, Institute of Physics, Bristol, UK, 4th edition, 2005.
25. F. Estabrook, 1971, JPL IOM, Section 328, 1–3.
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. B. Shahid-Saless and D. K. Yeomans, “Relativistic effects on the motion of asteroids and comets,” The Astronomical Journal, vol. 107, no. 5, pp. 1885–1889, 1994. View at Publisher · View at Google Scholar
29. I. I. Shapiro, W. B. Smith, M. E. Ash, and S. Herrick, “General relativity and the orbit of Icarus,” The Astronomical Journal, vol. 76, no. 7, pp. 588–606, 1971.
30. G. Sitarski, “On the relativistic motion of (1566) Icarus,” The Astronomical Journal, vol. 104, no. 3, pp. 1226–1229, 1992. View at Publisher · View at Google Scholar
31. J.-X. Zhang, “A study of general relativistic effect in the motion of Icarus,” Chinese Astronomy and Astrophysics, vol. 18, no. 1, pp. 108–115, 1994. View at Publisher · View at Google Scholar
32. B. Mashhoon, N. Mobed, and D. Singh, “Tidal dynamics in cosmological spacetimes,” Classical and Quantum Gravity, vol. 24, no. 20, pp. 5031–5046, 2007. View at Publisher · View at Google Scholar
33. G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, and S. Zerbini, “One-loop $f(R)$ gravity in de Sitter universe,” Journal of Cosmology and Astroparticle Physics, vol. 2005, no. 2, p. 10, 2005. View at Publisher · View at Google Scholar
34. M. L. Ruggiero and L. Iorio, “Solar system planetary orbital motions and $f(R)$ theories of gravity,” Journal of Cosmology and Astroparticle Physics, vol. 1, no. 10, 2007. View at Publisher · View at Google Scholar
35. E. V. Pitjeva, 2006, private communication.
36. 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
37. A. Milani, D. Vokrouhlický, D. Villani, C. Bonanno, and A. Rossi, “Testing general relativity with the BepiColombo radio science experiment,” Physical Review D, vol. 66, no. 8, Article ID 082001, 21 pages, 2002. View at Publisher · View at Google Scholar
38. J. F. Chandler, M. R. Pearlman, R. D. Reasenberg, and J. J. Degnan, “Solar-system dynamics and tests of general relativity with planetary laser ranging,” in Proceedings of the 14th International Workshop on Laser Ranging Instrumentation, R. Noomen, J. M. Davila, J. Garate, C. Noll, and M. Pearlman, Eds., San Fernando, Spain, June 2004.
39. S. M. Merkowitz, P. W. Dabney, J. C. Livas, J. F. McGarry, G. A. Neumann, and T. W. Zagwodzki, “Laser ranging for gravitational, lunar and planetary science,” International Journal of Modern Physics D, vol. 16, no. 12, pp. 2151–2164, 2007. View at Publisher · View at Google Scholar
40. X. Sun, G. A. Neumann, J. F. Mc-Garry, et al., “Laser ranging between the mercury laser altimeter and an earth-based laser satellite tracking station over a 24 million kilometer distance,” in OSA Annual Meeting Abstracts, Tucson, Ariz, USA, October 2005.