Modified Inertia as Nonconservative Newtonian Dynamics

Abstract

Modified Newtonian dynamics by Milgrom is a paradigm for explaining the rotation curves of spiral galaxies and various other large scale structures. This paradigm includes several different theories. Here we present Milgrom's modified inertia (MI) theory in terms of a simple and tractable non-conservative Newtonian dynamics, which is useful in obtaining observable predictions of MI. It is found that: 1) Modified inertia theory is equivalent to a Newtonian theory, with a non-conservative gravitational field, and dark matter density; 2) The tidal force in the equivalent Newtonian dynamics is non-conservative, and its effect on a binary system in free fall in the gravitational field of a spheroid is addressed. We also discuss attempts to restore conservation in MI.

9 pages, 1 figure

References in corpus (8)

• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Bimetric MOND gravity
• Rotation and Mass in the Milky Way and Spiral Galaxies
• Modified Kepler's Law, Escape Speed and Two-body Problem in MOND-like Theories
• Global Deep-MOND Parameter as a Theory Discriminant
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Cited by in corpus (1)

• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity