Abstract
The size and availability of Sun-Jupiter and Sun-Neptune saddle regions are determined. Within these regions the net gravitational field is \(\leq 10^{-10}\text{ ms}^{-2}\). These regions are therefore suitable for experiments which can provide evidence for the alternative gravitational theories of MOND and gravitational anti-screening. A particular experiment is outlined where the relative separation between two masses is measured. In the case of the Jupiter hosted saddle region, over the duration of the proposed experiment it is found that the relative separation of the two masses as determined by MOND and gravitational anti-screening is approximately 1.24 cm less than that predicted by Newtonian gravitational theory. In the case of the Neptune hosted saddle region the difference is much greater, being 29.0 cm for the specific example provided. This experiment would therefore be a definitive test of MOND and gravitational anti-screening.
Similar content being viewed by others
References
Bailey, E., Batygin, K., Brown, M.E.: Astron. J. 152, 126 (2016)
Banik, I., Kroupa, P.: Mon. Not. R. Astron. Soc. 487, 2665 (2019)
Banik, I., Kroupa, P.: Mon. Not. R. Astron. Soc. 495, 3974 (2020)
Banik, I., Zhao, H.: Mon. Not. R. Astron. Soc. 480, 2660 (2018)
Batygin, K., Brown, M.E.: Astron. J. 151, 22 (2016)
Bekenstein, J.D., Magueijo, J.: Phys. Rev. D 73, 103513 (2006)
Bekenstein, J.D., Milgrom, M.: Astrophys. J. 286, 7 (1984)
Bevis, N., Magueijo, J., Trenkel, C., Kemble, S.: Class. Quantum Gravity 27, 215014 (2010)
Blanchet, L.: Class. Quantum Gravity 24, 3529 (2007a). astro-ph/0605637
Blanchet, L.: Class. Quantum Gravity 24, 3541 (2007b). gr-qc/0609121
Blanchet, L., LeTiec, A.: (2008). http://arXiv.org/abs/0804.3518
Bondi, H.: Rev. Mod. Phys. 29(3), 423 (1957).
Debono, I., Smoot, G.F.: Universe 2(4), 23 (2016)
Famaey, B., McGaugh, S.: Living Rev. Relativ. 15, 10 (2012)
Galianni, P., Feix, M., Zhao, H., Horne, K.: Phys. Rev. D 86, 044002 (2012)
Hajdukovic, D.S.: Astrophys. Space Sci. 334, 215 (2011a)
Hajdukovic, D.S.: Adv. Astron. 196, 852 (2011b)
Hajdukovic, D.S.: Mod. Phys. Lett. A 26, 1555 (2011c)
Hajdukovic, D.S.: Astrophys. Space Sci. 337, 9 (2012a)
Hajdukovic, D.S.: Astrophys. Space Sci. 339(1), 1 (2012b).
Hajdukovic, D.S.: Astrophys. Space Sci. 343, 505 (2013)
Iorio, L.: Open Astron. J. 3, 156 (2010a)
Iorio, L.: Open Astron. J. 3, 1 (2010b)
Iorio, L.: Universe 1(1), 38 (2015)
Iorio, L.: Astrophys. Space Sci. 364, 126 (2019)
Magueijo, J., Mozaffari, A.: Phys. Rev. D 85, 043527 (2012).
Magueijo, J., Mozaffari, A.: Class. Quantum Gravity 30, 9 (2013)
McGaugh, S.S.: RNAAS 2(3) (2018)
McGaugh, S.S., Lelli, F., Schombert, J.M.: Phys. Rev. Lett. 117, 201101 (2016)
Milgrom, M.: Astrophys. J. 270, 365 (1983a)
Milgrom, M.: Astrophys. J. 270, 371 (1983b)
Milgrom, M.: Astrophys. J. 270, 384 (1983c)
Milgrom, M.: Mon. Not. R. Astron. Soc. 403, 886 (2010)
Paučo, R., Klačka, J.: Astron. Astrophys. 589, A63 (2016)
Penner, A.R.: Astrophys. Space Sci. 361, 124 (2016a)
Penner, A.R.: Astrophys. Space Sci. 361, 361 (2016b)
Penner, A.R.: Astrophys. Space Sci. 362, 80 (2017)
Penner, A.R.: Gravitational anti-screening as an alternative to dark matter. In: Mehler, N. (ed.) Research Advances in Astronomy, pp. 1-48. Nova US, New York, NY (2018)
Penner, A.R.: Astrophys. Space Sci. 365, 65 (2020)
Pitjev, N.P., Pitjeva, E.V.: Astron. Lett. 39(3), 141 (2013)
Pittordis, C., Sutherland, W.: (2019). arXiv:1905.09619
Sanders, R.H.: Can. J. Phys. 93(2), 126 (2014)
Skordic, C., Zlosnik, T.: (2019). arXiv:1905.09465
Zwicky, F.: Helv. Phys. Acta 6, 110 (1933)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Penner, A.R. A proposed experiment to test gravitational anti-screening and MOND using Sun-Gas giant saddle points. Astrophys Space Sci 365, 154 (2020). https://doi.org/10.1007/s10509-020-03870-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-020-03870-x