Issue |
A&A
Volume 450, Number 3, May II 2006
|
|
---|---|---|
Page(s) | 1005 - 1012 | |
Section | Galactic structure, stellar clusters, and populations | |
DOI | https://doi.org/10.1051/0004-6361:20054379 | |
Published online | 19 April 2006 |
Roche lobe shapes for testing MOND-like modified gravities
1
National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, PR China e-mail: hz4@st-and.ac.uk
2
SUPA, School of Physics and Astronomy, University of St. Andrews, KY16 9SS Fife, UK
3
Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, PR China
4
University of Victoria, Department of Physics and Astronomy, British Columbia, V8P 5C2, Canada
Received:
20
October
2005
Accepted:
6
January
2006
Dark Matter (DM) theories and mass-tracing-light theories like MOND are by construction nearly degenerate on galactic scales, but not when it comes to the predicted shapes of Roche Lobes of a two-body system (e.g., a globular cluster orbiting a host galaxy). We show that
the flattening of the Roche lobe is sensitive
to the function in modification of the law of gravity.
We generalise the analytical results obtained in the deep-MOND limit by Zhao
(2005), and consider a binary in the framework of a MOND-like gravity modification function
or a general non-Keplerian gravity
.
We give analytical expressions for the inner Lagrange point and Robe lobe axis ratios. The Roche lobe volume is proven to scale linearly with the true mass ratio, which applies
to any
, hence mass-tracing light models would overpredict
the Roche lobe of a DM-poor globular cluster in a DM-rich host galaxy,
and underpredict the size of a DM-richer dwarf satellite.
The lobes are squashed with the flattening ~0.4
in the strong gravity and ~0.6 in the weak gravity; a precise measurement
of the flattening could be used to verify the anisotropic dilation effect
which is generic to MOND-like gravity.
We generalise these results for extended mass distribution, and compare
predicted Roche radii with limiting radii of
observed globular clusters and dwarf galaxy satellites.
Key words: dark matter / Galaxy: kinematics and dynamics / gravitation / galaxies: dwarf / globular clusters: general / galaxies: halos
© ESO, 2006
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