Relativistic Warning to Space Missions Aimed to Reach Phobos
Author(s)
Alexander P. Yefremov
ABSTRACT
Disagreement in estimations of the observed acceleration of Phobos yields several theories empirically modifying classical description of motion of the satellite, but its orbital positions detected by Mars-aimed spacecraft differ from predictions. It is shown that the satellite’s orbital perturbations can be explained as manifestations of the relativistic time-delay effect ignored in classical models. So computed limits of Phobos’ acceleration essentially exceed the experimental values. The satellite’s expected orbital shift is calculated for the moment of contact with a landing module of the Phobos-Grunt project; the shift assessed in kilometers may prevent the mission success. Limits of the apparent relativistic accelerations are predicted for fast satellites of Jupiter.
Disagreement in estimations of the observed acceleration of Phobos yields several theories empirically modifying classical description of motion of the satellite, but its orbital positions detected by Mars-aimed spacecraft differ from predictions. It is shown that the satellite’s orbital perturbations can be explained as manifestations of the relativistic time-delay effect ignored in classical models. So computed limits of Phobos’ acceleration essentially exceed the experimental values. The satellite’s expected orbital shift is calculated for the moment of contact with a landing module of the Phobos-Grunt project; the shift assessed in kilometers may prevent the mission success. Limits of the apparent relativistic accelerations are predicted for fast satellites of Jupiter.
Cite this paper
nullA. Yefremov, "Relativistic Warning to Space Missions Aimed to Reach Phobos," International Journal of Astronomy and Astrophysics, Vol. 1 No. 4, 2011, pp. 200-203. doi: 10.4236/ijaa.2011.14025.
nullA. Yefremov, "Relativistic Warning to Space Missions Aimed to Reach Phobos," International Journal of Astronomy and Astrophysics, Vol. 1 No. 4, 2011, pp. 200-203. doi: 10.4236/ijaa.2011.14025.
References
[1] B. P. Sharpless, “Secular Acceleration in the Longitudes of the Satellites of Mars,” Astronomical Journal, Vol. 51, No. , 1945, pp. 185-186. doi:10.1086/105871 [2] I. S. Shklovsky, “The Universe, Life, and Mind,” Academy of Sciences USSR, Moscow, 1962, pp.156-165 [3] G. A. Wilkins, “Meeting of Royal Astronomical Society,” The Observatory, Vol. 90, No. 976, 1970, pp.37-38. [4] A. T. Sinclair, “The Motions of the Satellites of Mars,” Monthly Notices of the Royal Astronomical Society, Vol. 155, 1972, pp. 249-274 [5] G. A. Wilkins and A. T. Sinclair, “The Dynamic of the Planets and Their Satellites,” Proceedings of the Royal Society of London, Vol. 336, No. 1604, 1974, pp. 85-104. doi:10.1098/rspa.1974.0008 [6] V. A. Shor, “The Motion of the Martian Satellites,” Ce- lestial Mechanics Vol. 12, No. 1, 1975, pp. 61-75. doi:10.1007/BF01228625 [7] G. H. Born and T. C. Duxbury, “The Methods of Phobos and Deimos from Mariner 9 TV Data,” Celestial Me- chanics Vol. 12, 1975, pp. 77-88. doi:10.1007/BF01228626 [8] A. T. Sinclair, “The Orbits of the Satellites of Mars De- termined from Earth Based and Spacecraft Observations,” Astronomy and Astrophysics, Vol. 220, No. 2, 1989, pp. 321-328. [9] European Space Agency, “Mars Express,” 2009. http://www.esa.int/SPECIALS/Mars_Express/SEM21TVJD1E_0.html [10] Russian Space Web, 2011. http://www.russianspaceweb.com/phobos_grunt.html [11] E. F. Taylor and J. A. Wheeler, “Space-Time Physics,” W. H. Freeman & C, San Francisco, London, 1966. [12] A. P. Yefremov, “Quaternion Model of Relativity: Solu- tions for Non-Inertial Motions and New Effects,” Ad- vanced Science Letter, Vol. 1, No. 2, 2008, pp. 79-86. [13] A. P. Yefremov, “Algebra, Geometry and Physical Theo- ries,” Hypercomplex Numbers in Geometry and Physics, Vol. 1, No. 1, 2004, pp. 105-120. [14] G. T. Gilles, “The Newtonian Gravitational Constant, Re- sent Measurements and Related Studies,” Report on Progress in Physics, Vol. 60, No. 2, 1997, pp.151-225. doi:10.1088/0034-4885/60/2/001 [15] H. H. Kieffer, B. M. Jakosky, C. W. Snyder and M. S. Matthews, Eds., “Mars,” University of Arizona Press, Tuc- son, 1993.
[1] B. P. Sharpless, “Secular Acceleration in the Longitudes of the Satellites of Mars,” Astronomical Journal, Vol. 51, No. , 1945, pp. 185-186. doi:10.1086/105871 [2] I. S. Shklovsky, “The Universe, Life, and Mind,” Academy of Sciences USSR, Moscow, 1962, pp.156-165 [3] G. A. Wilkins, “Meeting of Royal Astronomical Society,” The Observatory, Vol. 90, No. 976, 1970, pp.37-38. [4] A. T. Sinclair, “The Motions of the Satellites of Mars,” Monthly Notices of the Royal Astronomical Society, Vol. 155, 1972, pp. 249-274 [5] G. A. Wilkins and A. T. Sinclair, “The Dynamic of the Planets and Their Satellites,” Proceedings of the Royal Society of London, Vol. 336, No. 1604, 1974, pp. 85-104. doi:10.1098/rspa.1974.0008 [6] V. A. Shor, “The Motion of the Martian Satellites,” Ce- lestial Mechanics Vol. 12, No. 1, 1975, pp. 61-75. doi:10.1007/BF01228625 [7] G. H. Born and T. C. Duxbury, “The Methods of Phobos and Deimos from Mariner 9 TV Data,” Celestial Me- chanics Vol. 12, 1975, pp. 77-88. doi:10.1007/BF01228626 [8] A. T. Sinclair, “The Orbits of the Satellites of Mars De- termined from Earth Based and Spacecraft Observations,” Astronomy and Astrophysics, Vol. 220, No. 2, 1989, pp. 321-328. [9] European Space Agency, “Mars Express,” 2009. http://www.esa.int/SPECIALS/Mars_Express/SEM21TVJD1E_0.html [10] Russian Space Web, 2011. http://www.russianspaceweb.com/phobos_grunt.html [11] E. F. Taylor and J. A. Wheeler, “Space-Time Physics,” W. H. Freeman & C, San Francisco, London, 1966. [12] A. P. Yefremov, “Quaternion Model of Relativity: Solu- tions for Non-Inertial Motions and New Effects,” Ad- vanced Science Letter, Vol. 1, No. 2, 2008, pp. 79-86. [13] A. P. Yefremov, “Algebra, Geometry and Physical Theo- ries,” Hypercomplex Numbers in Geometry and Physics, Vol. 1, No. 1, 2004, pp. 105-120. [14] G. T. Gilles, “The Newtonian Gravitational Constant, Re- sent Measurements and Related Studies,” Report on Progress in Physics, Vol. 60, No. 2, 1997, pp.151-225. doi:10.1088/0034-4885/60/2/001 [15] H. H. Kieffer, B. M. Jakosky, C. W. Snyder and M. S. Matthews, Eds., “Mars,” University of Arizona Press, Tuc- son, 1993.