What question did this study set out to answer?

The aim is to describe the solutions of modified Newtonian dynamics field equations and their unique properties.

March 1, 1986Open Access

Solutions for the modified Newtonian dynamics field equation

Key Points

The aim is to describe the solutions of modified Newtonian dynamics field equations and their unique properties.
Developed a numerical scheme for axisymmetric mass configurations.
Examined boundary values at infinity to determine solutions uniquely.
Introduced a perturbation formalism for approximate solutions under small mass distribution changes.
The unique solutions are determined by the boundary values at infinity.
The angular multipoles of potential show specific asymptotic behavior based on radius.
A newly proposed perturbation method successfully approximates solutions for complex mass configurations.

Abstract

view Abstract Citations (147) References (6) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Solutions for the Modified Newtonian Dynamics Field Equation Milgrom, M. Abstract General properties of the solutions of the modified Newtonian dynamics field equations suggested by Bekenstein and Milgrom (1984) are described along with a numerical scheme for solving this equation for axisymmetric mass configurations, and numerical results are presented. It is demonstrated that the boundary values of interest at infinity determine the solutions of the field equation uniquely, and that for a surface surrounding a finite volume it is the normal component of the 'displacement' vector which has to be given on the surface. The asymptotic dependence on radius of the different angular multipoles of the potential for an arbitrary bound system is deduced. A perturbation formalism is presented which can be used to solve the field equation approximately when the mass distribution involves a small perturbation on a configuration for which the solution is known. Publication: The Astrophysical Journal Pub Date: March 1986 DOI: 10.1086/164021 Bibcode: 1986ApJ...302..617M Keywords: Computational Astrophysics; Cosmology; Field Theory (Physics); Galactic Rotation; Newton Theory; Acceleration (Physics); Boundary Value Problems; Difference Equations; Disk Galaxies; Mass Distribution; Perturbation Theory; Stellar Motions; Astrophysics; COSMOLOGY; STARS: STELLAR DYNAMICS full text sources ADS |

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