Are the orbital poles of binary stars in the solar neighbourhood anisotropically distributed?
Abstract
We test whether or not the orbital poles of the systems in the solar neighbourhood are
isotropically distributed on the celestial sphere. The problem is plagued by the ambiguity
on the position of the ascending node. Of the 95 systems closer than 18 pc from the Sun
with an orbit in the 6th Catalogue of Orbits of Visual Binaries, the pole ambiguity could
be resolved for 51 systems using radial velocity collected in the literature and CORAVEL
database or acquired with the HERMES/Mercator spectrograph. For several
systems, we can correct the erroneous nodes in the 6th Catalogue of Orbits and obtain new
combined spectroscopic/astrometric orbits for seven systems [WDS 01083+5455Aa,Ab;
01418+4237AB; 02278+0426AB (SB2); 09006+4147AB (SB2); 16413+3136AB; 17121+4540AB;
18070+3034AB]. We used of spherical statistics to test for possible anisotropy. After
ordering the binary systems by increasing distance from the Sun, we computed the
false-alarm probability for subsamples of increasing sizes, from N = 1 up to the full sample
of 51 systems. Rayleigh-Watson and Beran tests deliver a false-alarm probability of 0.5%
for the 20 systems closer than 8.1 pc. To evaluate the robustness of this conclusion, we
used a jackknife approach, for which we repeated this procedure after removing one system
at a time from the full sample. The false-alarm probability was then found to vary between
1.5% and 0.1%, depending on which system is removed. The reality of the deviation from
isotropy can thus not be assessed with certainty at this stage, because only so few
systems are available, despite our efforts to increase the sample. However, when
considering the full sample of 51 systems, the concentration of poles toward the Galactic
position l =
46.0°, b =
37°, as observed in the 8.1 pc sphere, totally vanishes (the
Rayleigh-Watson false-alarm probability then rises to 18%).
Origin : Publication funded by an institution
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