Isaac Scientific Publishing

Advances in Astrophysics

The Acceleration of the Moon and the Universe – the Mass of the Graviton

Download PDF (1073.1 KB) PP. 184 - 196 Pub. Date: August 18, 2017

DOI: 10.22606/adap.2017.23004

Author(s)

  • Göran Henriksson*
    Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden

Abstract

To get accurate knowledge about the longitudinal motion of the Moon we must use the oldest preserved interpretable depictions and texts from the ancient cultures. 33 ancient total or almost total solar eclipses, back to 3653 BC, have been used to determine the lunar sidereal secular acceleration in longitude, -30.128 ±0.0035 arcseconds/(century)2 ("/cy2). The lunar secular acceleration, from the Lunar Laser Range (LLR) measurements, -25.856 ±0.003 "/cy2, must be corrected for the relativistic effect, -3.604 "/cy2, in the Earth-Moon inertial system, to get the lunar sidereal secular acceleration, –29.460 "/cy2, corrected for General Relativity. The difference between this value and the new calibration, -0.668 ±0.0046 "/cy2, may be interpreted as the cosmological acceleration by Dvali et al. in a Modified Theory of gravity. This value is equivalent to a Mass of the Graviton = 1.306 ±0.009 x 10-56 grams and there is no need for the hypothetical Dark Energy.

Keywords

Cylinder seal, total solar eclipse, lunar secular acceleration, general relativity, precession of the geodesic, graviton mass.

References

[1] H. von der Osten, Ancient Oriental Seals in the Collection of Mr. Edward T. Newell. The University of Chicago Oriental Institute Publications Vol. XXII, 1934.

[2] H. Frankfort, Stratified Cylinder Seals from the Diyala Region, The University of Chicago Oriental Institute Publications, Volume LXXII, 1955.

[3] G. Henriksson, “Prehistoric constellations on Swedish Rock-carvings,”in Actes de la Vème conférence de la SEAC, Gdańsk, 5-8 septembre 1997 (swiatowit supplement series H: Anthropology, 2), Warsaw, 1999, pp. 155-173.

[4] G. Henriksson, “Solar eclipses, supernova and Encke's comet on Swedish rock Carvings,“ in Proceedings of the Fifth Oxford International Conference on Archaeo-astronomy, Santa Fe, August 1996, Carolina Academic Press, Durham, North Carolina, 2005, pp. 475-485.

[5] A. Jeremias, “Handbuch der Altorientalischen Geisteskultur,“ J. C. Hinrichsch Buchhandlung, Leipzig, 1913, p. 247.

[6] G. Henriksson, “A new test of Einstein’s theory of relativity by ancient solar eclipses,“ in Cosmology across Cultures, Astronomical Society of the Pacific Conference Series vol. 409, 2009, pp. 166–171.

[7] G. Henriksson, “Einstein’s Theory of Relativity confirmed by Ancient Solar Eclipses,“ in Journal of Cosmology, 2010, Vol. 9, pp. 2259-2270, 2010.

[8] W. H. van Soldt, “Solar Omens of Enuma Anu Enlil: Tablets 23 (24) - 29 (30),“ Istanbul, 1995.

[9] C. Schoch, “Die sakulare Accelaration des Mondes und der Sonne,“ Astronomische Abhandlungen, Erganzungshefte zu den Astronomischen Nachrichten, Band 8, B2. Kiel, 1931.

[10] L. V. Morrison and C. G. Ward,. “An analysis of the transits of Mercury 1677-1973,“ Mon. Not. R. Astr. Soc. 173, 1975, pp. 183-206.

[11] G. Henriksson, “A new Chronology of the Old Babylonian Kingdom and Ur I-III based on identification of solar and lunar eclipses,“ in Proceedings of the SEAC 2002 Conference in Tartu. Tartu 2006.

[12] G. Henriksson, “Chronology for the Egyptian Pharaohs of the Amarna period and the Israeli leaders Moses and Joshua by correlation with eight solar eclipses,“ in Proceedings of the SEAC 2004 Conference in Kecskemet. BAR International Series 1647, 2007, pp. 133-148.

[13] G. Henriksson, “A new attempt to date the Xia, Shang and Zhou dynasties by solar eclipses,“ in Proceedings of the Oxford 8 and SEAC 2007 Conference in Klaipeda, Astronomy and Cosmology in Folk Traditions and Cultural Heritage, Archaeologica Baltica 10, pp. 105-109. Klaipeda, 2008.

[14] G. Henriksson, “A Solar Eclipse in 700 BC Observed in Jerusalem and Southern Sweden,“ in Ancient Cosmologies and Modern Prophets, Proceedings of the 20th Conference of the European Society for Astronomy in Culture 2012, Ljubljana, 2013.

[15] G. Henriksson, “Thales of Miletus, Archimedes and the Solar Eclipses on the Antikythera Mechanism,“ in Journal of Science and Engineering 4 (2014), pp 757-769. doi: 10.17265/2159-581X/2014. 12. 005

[16] F. R. Stephenson, and L. V. Morrison, “Long-term changes in the rotation of the Earth: 700 B.C. to A.D. 1980,“ Phil. Trans. R. Soc. A 313, London 1984, pp. 47-70.

[17] J. Chapront, M. Chapront-Touzé and G. Francou, “A new determination of lunar orbital parameters, precession constant and tidal acceleration from LLR measurements,“ Astron. Astrophys. 387, 2002, pp. 700-709.

[18] J. G. Williams, D. H. Boggs and W. M. Folkner, “DE421 Lunar orbit, Physical Librations, and Surface Coordinates,“ IOM 335-JW,DB,WF-20080314-001, March 14, 2008.

[19] G. Henriksson, “Lunar secular acceleration supports a modified theory for gravity,“ in Proceedings of the 49th Rencontres de Moriond, La Thuile, March 22-29, 2014.

[20] A. Einstein, “Die Grundlage der allgemeinen Relativit?tstheorie,“ Annalen der Physik, 49, 1916.

[21] W. de Sitter, Mon. Not. R. Astr. Soc. 77, 1916, p. 155.

[22] K. Nordtvedt, “From Newton’s Moon to Einstein’s Moon,“ Physics Today, May 1996, Vol. 49:5, p. 29.

[23] K. Nordtvedt, “The Relativistic Orbit Observables in Lunar Laser Ranging,“ ICARUS 114, 1995, 51-62.

[24] P. Dirac, Proc. Roy. Soc. A, 155, 1936, p 447.

[25] M. Fierz, Helv. Phys. Acta, 12, 3, 1939.

[26] M. Fierz and W. Pauli,. “On relativistic wave equation for particles of arbitrary spin in an electromagnetic field,“ Proc. R. Soc. Lond. A 1039 173, published 28 November 1939, pp. 211-232.

[27] H. van Dam, and M. Veltman, “Massive and Mass-less Yang-Mills and Gravitational fields,“ Nucl. Phys. B22, 1970, pp. 397-411.

[28] A. I.. Vainshtain, “To the problem of non-vanishing gravitation mass,“ Phys. Lett. 39 B, number 3, 1 May 1972, pp. 393-394.

[29] A. G. Riess et al. (High-z Supernova Team), “Observational Evidence from Supernovae for an Accelerating Universe and Cosmological Constant,“ Astron. J. 116, 1009, 1998.

[30] S. Perlmutter et al. (Supernova Cosmology Project), “Measurements of Omega and Lambda from 42 High- Redshift Supernovae,“ Astrophys. J. 517, 565, 1999.

[31] G. Dvali, A. Gruzinov and M. Zaldarriaga, “The Accelerated Universe and the Moon,“ Phys. Rev. D, vol. 68, Issue 2, id. 024012, 2003.

[32] A. Lue and G. Starkman, “Gravitational Leakage into Extra Dimensions: Probing Dark Energy Using Local Gravity,“ Phys. Rev. D 67, 064002, 2003.