- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Advances in Astronomy
Volume 2008 (2008), Article ID 268647, 5 pages
Solar System Motions and the Cosmological Constant: A New Approach
INFN-Sezione di Pisa, 56127 Pisa, Italy
Received 11 October 2007; Revised 17 January 2008; Accepted 12 February 2008
Academic Editor: Edmond Craig Dukes
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.
- A. Einstein, “Kosmologische betrachtungen zur allgemeinen relativitätstheorie,” Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften, pp. 142–152, 1917.
- 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.
- S. Perlmutter, G. Aldering, G. Goldhaber, et al., “Measurements of and from 42 high-redshift supernovae,” The Astrophysical Journal, vol. 517, no. 2, pp. 565–586, 1999.
- 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.
- P. J. Peebels and B. Ratra, “The cosmological constant and dark energy,” Reviews of Modern Physics, vol. 75, no. 2, pp. 559–606, 2003.
- S. M. Carroll, “The cosmological constant,” Living Reviews in Relativity, vol. 4, no. 1, pp. 1–78, 2001.
- S. Weinberg, “The cosmological constant problem,” Reviews of Modern Physics, vol. 61, no. 1, pp. 1–23, 1989.
- 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.
- 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.
- J. F. Cardona and J. M. Tejeiro, “Can interplanetary measures bound the cosmological constant?” The Astrophysical Journal, vol. 493, pp. 52–53, 1998.
- Yu. V. Dumin, “Testing the “dark-energy”-dominated cosmology via the solar-system experiments,” preprint, 2006, http://arxiv.org/abs/astro-ph/0507381.
- 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.
- J. N. Islam, “The cosmological constant and classical tests of general relativity,” Physics Letters A, vol. 97, no. 6, pp. 239–241, 1983.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- E. L. Wright, “Interplanetary measures can not bound the cosmological constant,” preprint, 1998, http://arxiv.org/abs/astro-ph/9805292v1.
- W. Rindler, Relativity: Special, General, and Cosmological, Oxford University Press, Oxford, UK, 2001.
- 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.
- F. Kottler, “Über die physikalischen grundlagen der Einsteinschen gravitationstheorie,” Annalen der Physik, vol. 361, no. 14, pp. 401–462, 1918.
- A. E. Roy, Orbital Motion, Institute of Physics, Bristol, UK, 4th edition, 2005.
- F. Estabrook, 1971, JPL IOM, Section 328, 1–3.
- 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.
- 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.
- 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.
- 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.
- G. Sitarski, “On the relativistic motion of (1566) Icarus,” The Astronomical Journal, vol. 104, no. 3, pp. 1226–1229, 1992.
- 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.
- B. Mashhoon, N. Mobed, and D. Singh, “Tidal dynamics in cosmological spacetimes,” Classical and Quantum Gravity, vol. 24, no. 20, pp. 5031–5046, 2007.
- G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, and S. Zerbini, “One-loop gravity in de Sitter universe,” Journal of Cosmology and Astroparticle Physics, vol. 2005, no. 2, p. 10, 2005.
- M. L. Ruggiero and L. Iorio, “Solar system planetary orbital motions and theories of gravity,” Journal of Cosmology and Astroparticle Physics, vol. 1, no. 10, 2007.
- E. V. Pitjeva, 2006, private communication.
- 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.
- 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.
- 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.
- 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.
- 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.