Abstract
It is surprising that we hardly know only 4% of the universe. Rest of the universe is made up of 73% of dark-energy and 23% of dark-matter. Dark-energy is responsible for acceleration of the expanding universe; whereas dark-matter is said to be necessary as extra-mass of bizarre-properties to explain the anomalous rotational-velocity of galaxy. Though the existence of dark-energy has gradually been accepted in scientific community, but the candidates for dark-matter have not been found as yet and are too crazy to be accepted. Thus, it is obvious to look for an alternative theory in place of dark-matter. Milgrom (Astrophys. J. 270:365, 1983a; 270:371, 1983b) has suggested a ‘Modified Newtonian Dynamics (MOND)’ which appears to be highly successful for explaining the anomalous rotational-velocity. But unfortunately MOND lacks theoretical support. The MOND, in-fact, is (empirical) modification of Newtonian-Dynamics through modification in the kinematical acceleration term ‘a’ (which is normally taken as \(a=\frac{v^{2}}{r}\)) as effective kinematic acceleration \(a_{\mathit{effective}} = a \mu(\frac{a}{a_{0}})\), wherein the μ-function is 1 for usual-values of accelerations but equals to \(\frac{a}{a_{0}} (\ll1)\) if the acceleration ‘a’ is extremely-low lower than a critical value a 0(10−10 m/s2). In the present paper, a novel variant of MOND is proposed with theoretical backing; wherein with the consideration of universe’s acceleration a d due to dark-energy, a new type of μ-function on theoretical-basis emerges out leading to \(a_{\mathit{effective}} = a(1 -K \frac{a_{0}}{a})\). The proposed theoretical-MOND model too is able to fairly explain ‘qualitatively’ the more-or-less ‘flat’ velocity-curve of galaxy-rotation, and is also able to predict a dip (minimum) on the curve.
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Gupta, R.C., Pradhan, A. A theoretical qualitatively-explained new-variant of Modified-Newtonian-Dynamics (MOND). Astrophys Space Sci 333, 311–316 (2011). https://doi.org/10.1007/s10509-011-0605-1
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DOI: https://doi.org/10.1007/s10509-011-0605-1