Testing quasilinear modified Newtonian dynamics in the Solar System
arXiv:1111.6681 · doi:10.1103/PhysRevD.86.044002
Abstract
A unique signature of the modified Newtonian dynamics (MOND) paradigm is its peculiar behavior in the vicinity of the points where the total Newtonian acceleration exactly cancels. In the Solar System, these are the saddle points of the gravitational potential near the planets. Typically, such points are embedded into low-acceleration bubbles where modified gravity theories a` la MOND predict significant deviations from Newton's laws. As has been pointed out recently, the Earth-Sun bubble may be visited by the LISA Pathfinder spacecraft in the near future, providing a unique occasion to put these theories to a direct test. In this work, we present a high-precision model of the Solar System's gravitational potential to determine accurate positions and motions of these saddle points and study the predicted dynamical anomalies within the framework of quasi-linear MOND. Considering the expected sensitivity of the LISA Pathfinder probe, we argue that interpolation functions which exhibit a "faster" transition between the two dynamical regimes have a good chance of surviving a null result. An example of such a function is the QMOND analog of the so-called simple interpolating function which agrees well with much of the extragalactic phenomenology. We have also discovered that several of Saturn's outermost satellites periodically intersect the Saturn-Sun bubble, providing the first example of Solar System objects that regularly undergo the MOND regime.
18 pages, 21 figures. Submitted to Physical Review D
References in corpus (9)
- Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
- Bimetric MOND gravity
- Milky Way potentials in CDM and MOND. Is the Large Magellanic Cloud on a bound orbit?
- MOND habitats within the solar system
- External field effect of modified Newtonian dynamics in the Solar system
- Coincidences of Dark Energy with Dark Matter -- Clues for a Simple Alternative?
- Vertical dynamics of disk galaxies in MOND
- Asymmetric Gravitational Lenses in TeVeS and Application to the Bullet Cluster
- A novel MOND effect in isolated high-acceleration systems
Cited by in corpus (16)
- Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
- From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
- Combined Solar System and rotation curve constraints on MOND
- Gravity theories, Transverse Doppler and Gravitational Redshifts in Galaxy Clusters
- Unifying all mass discrepancies with one effective gravity law?
- Calculation of the Uncertainties in the Planetary Precessions with the Recent EPM2017 Ephemerides and their Use in Fundamental Physics and Beyond
- Constraints on a MOND effect for isolated aspherical systems in deep Newtonian regime from orbital motions
- Astrodynamical Space Test of Relativity using Optical Devices I (ASTROD I) - Mission Overview
- A novel MOND effect in isolated high-acceleration systems
- Reconciliation of MOND and Dark Matter theory
- Lunar system constraints on the modified theories of gravity
- Separable triaxial potential-density pairs in MOND
- Saddle stresses for generic theories with a preferred acceleration scale
- Time delays across saddles as a test of modified gravity
- Three-Body Problem in Modified Dynamics
- Tests of Modified Gravity Theories in the Solar System