Investigating the Newton–Raphson basins of attraction in the restricted three-body problem with modified Newtonian gravity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-1061-4
Abstract: The planar circular restricted three-body problem with modified Newtonian gravity is used in order to determine the Newton–Raphson basins of attraction associated with the equilibrium points. The evolution of the position of the five Lagrange… read more here.
Keywords: newtonian gravity; basins attraction; newton raphson;
On the entropic derivation of the r−2 Newtonian gravity force
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.03.037
Abstract: Abstract Following Verlinde’s conjecture, we show that Tsallis’ classical free particle distribution at temperature T can generate Newton’s gravitational force’s r − 2 distance’s dependence. If we want to repeat the concomitant argument by appealing… read more here.
Keywords: gravity force; derivation newtonian; force; entropic derivation ... See more keywords
Illustrating chaos: a schematic discretization of the general three-body problem in Newtonian gravity
Sign Up to like & getrecommendations! Published in 2018 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/sty192
Abstract: We present a formalism for constructing schematic diagrams to depict chaotic three-body interactions in Newtonian gravity. This is done by decomposing each interaction in to a series of discrete transformations in energy- and angular momentum-space.… read more here.
Keywords: newtonian gravity; energy angular; body; three body ... See more keywords
On the Kuzmin model in fractional Newtonian gravity
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DOI: 10.1140/epjp/s13360-020-00831-9
Abstract: Fractional Newtonian gravity, based on the fractional generalization of Poisson’s equation for Newtonian gravity, is a novel approach to Galactic dynamics aimed at providing an alternative to the dark matter paradigm through a non-local modification… read more here.
Keywords: fractional newtonian; kuzmin model; gravity; newtonian gravity ... See more keywords
Crossover in Extended Newtonian Gravity Emerging from Thermodynamics
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DOI: 10.3390/sym14051048
Abstract: Recently, it has been discovered that a scalar field coupled to a fluid and allowed to be a thermodynamic variable in consistency with the second law of thermodynamics is only of gravity, and, accordingly, the… read more here.
Keywords: crossover extended; newtonian gravity; extended newtonian; thermodynamics ... See more keywords
Why Is the Mean Anomaly at Epoch Not Used in Tests of Non-Newtonian Gravity?
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DOI: 10.3390/universe8040203
Abstract: The mean anomaly at epoch η is one of the standard six Keplerian orbital elements in terms of which the motion of the two-body problem is parameterized. Along with the argument of pericenter ω, η… read more here.
Keywords: anomaly epoch; gravity; mean anomaly; newtonian gravity ... See more keywords