Yukawa-type effects in satellite dynamics (original) (raw)

Abstract

Many of today’s gravity theories predict the existence of a non-Newtonian Yukawa-type correction to the gravitational potential. New experimental techniques, such as Sagnac interferometry, may help in exploring the range _λ_≥1014 m where such forces are possibly measurable. It is expected that future space missions will operate in this range, which has not been examined for a very long time. Restricting ourselves to an Earth orbiting satellite we follow a perturbing-potential approach applied on the Lagrange planetary equations, in order to study the effect of such a non-Newtonian potential in the range λ_≅1.073_R E. This is achieved by calculating the time rates of change of the orbital elements for the earth orbiting satellite GRACE-A. All these time rates have been calculated on the Keplerian and the precessing Keplerian ellipse of the body under study. Of all the orbital elements, the argument of the perigee is most affected by this potential.

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References

• Camacho, A.: Gen. Relativ. Gravit. 36(5), 1207 (2004)
  Article MATH ADS Google Scholar
• Ciufolini, I., Wheeler, J.A.: Gravitation and Inertia. Princeton University Press, Princeton (1995)
  MATH Google Scholar
• Fischbach, E., Sudarsky, D., Szafer, A., Talmadge, C.L., Aronson, S.H.: Phys. Rev. Lett. 56, 3 (1986)
  Article ADS Google Scholar
• Fischbach, E., Talmadge, C., Krause, D.E.: Phys. Rev. D 43, 460 (1991)
  Article ADS Google Scholar
• Fischbach, E., Talmadge, C.L.: The Search for Non-Newtonian Gravity. Springer, Berlin (1999)
  Book MATH Google Scholar
• Gibbons, G.W., Whiting, B.F.: Nature 291, 636 (1981)
  Article ADS Google Scholar
• Haranas, I., Mioc V.: Rom. Astron. J. 19(2), 153 (2009)
  Google Scholar
• Iorio, L.: Phys. Lett. A 298(5–6), 315 (2002)
  Article ADS Google Scholar
• Kaula, W.M.: Theory of Satellite Geodesy: Applications of Satellites to Geodesy. Dover, New York (2000)
  MATH Google Scholar
• Kolosnitsyn, N.I., Melnikov, V.N.: Gen. Relativ. Gravit. 36(7), 1619 (2004)
  Article MATH ADS Google Scholar
• Lucchesi, D.M.: Phys. Lett. A 318, 234 (2003)
  Article ADS Google Scholar
• Maneff, G.: C. R. Acad. Sci., Paris 178, 2159 (1924)
  MATH Google Scholar
• Mioc, V.: Phys. Lett. A 301, 429 (2002)
  Article MATH MathSciNet ADS Google Scholar
• Murray, C.D., Dermott, S.F.: Solar System Dynamics. Cambridge University Press, Cambridge (1999)
  MATH Google Scholar
• Mücket, J.P., Treder, H.J.: Astron. Nachr. 298, 65 (1977)
  Article MATH ADS Google Scholar
• Pitjeva, E.V.: In: Proceedings of the IAA RAS 4, St.-Petersburg, p. 22 (1999)
• Stoica, C., Mioc, V.: Bull. Astron. Soc. India 25, 217 (1997)
  Google Scholar
• Vallado, D.A., McClain, W.D.: Fundamentals of Astrodynamics and Applications, 3rd edn. Microcosm Press/Springer, Berlin (2007)
  MATH Google Scholar

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Authors and Affiliations

1. Dept. of Physics and Astronomy, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada
   Ioannis Haranas
2. Dept. of Mathematics, University of Patras, 26500, Patras, Greece
   Omiros Ragos

Authors

1. Ioannis Haranas
2. Omiros Ragos

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Correspondence toIoannis Haranas.

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Haranas, I., Ragos, O. Yukawa-type effects in satellite dynamics.Astrophys Space Sci 331, 115–119 (2011). https://doi.org/10.1007/s10509-010-0440-9

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• Received: 12 April 2010
• Accepted: 22 June 2010
• Published: 06 August 2010
• Issue date: January 2011
• DOI: https://doi.org/10.1007/s10509-010-0440-9

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