scholarly journals Modified inertia as nonconservative Newtonian dynamics

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Ahmad Shariati ◽  
Nosratollah Jafari
Keyword(s):  
Newtonian Dynamics

scholarly journals Newtonian Fractional-dimension Gravity and Rotationally Supported Galaxies

2021 ◽  
Author(s):  
Gabriele U Varieschi
Keyword(s):  
Fractional Dimension ◽  
Newtonian Gravity ◽  
Axially Symmetric ◽  
Local Dimension ◽  
Radial Acceleration ◽  
Modified Newtonian Dynamics ◽  
Newtonian Dynamics ◽  
The Subject ◽  
Symmetric Structures ◽  
Natural Scale

Abstract We continue our analysis of Newtonian Fractional-Dimension Gravity, an extension of the standard laws of Newtonian gravity to lower dimensional spaces including those with fractional (i.e., non-integer) dimension. We apply our model to three rotationally supported galaxies: NGC 7814 (Bulge-Dominated Spiral), NGC 6503 (Disk-Dominated Spiral), and NGC 3741 (Gas-Dominated Dwarf). As was done in the general cases of spherically-symmetric and axially-symmetric structures, which were studied in previous work on the subject, we examine a possible connection between our model and Modified Newtonian Dynamics, a leading alternative gravity model which explains the observed properties of these galaxies without requiring the Dark Matter hypothesis. In our model, the MOND acceleration constant a0 ≃ 1.2 × 10−10m s−2 can be related to a natural scale length l0, namely $a_{0} \approx GM/l_{0}^{2}$ for a galaxy of mass M. Also, the empirical Radial Acceleration Relation, connecting the observed radial acceleration gobs with the baryonic one gbar, can be explained in terms of a variable local dimension D. As an example of this methodology, we provide detailed rotation curve fits for the three galaxies mentioned above.

scholarly journals Loss of Mass and Stability of Galaxies in Modified Newtonian Dynamics

2007 ◽  
Vol 665 (2) ◽  
pp. L101-L104 ◽  
Author(s):  
Xufen Wu ◽  
HongSheng Zhao ◽  
Benoit Famaey ◽  
G. Gentile ◽  
O. Tiret ◽  
...  
Keyword(s):  
Modified Newtonian Dynamics ◽  
Newtonian Dynamics ◽  
Loss Of Mass

Newtonian Dynamics I

2003 ◽  
pp. 135-180
Author(s):  
Richard H. Enns ◽  
George C. McGuire
Keyword(s):  
Newtonian Dynamics
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