Assessing Statistical Accuracy to the Orbital Elements of Visual Double Stars by Means of Bootstrap

Author(s):  
G. Ruymaekers ◽  
J. Cuypers
2010 ◽  
pp. 69-77
Author(s):  
I.S. Milic ◽  
Z. Cvetkovic

In this paper, the authors examine the dependence of correlation coefficients of orbital elements on the length of the orbital arc covered by measurements, on measurements of different accuracies, and on the number of measurements. The obtained correlation coefficients for the orbital elements are found to decrease with the orbital arc length covered by measurements, they are independent of the measurement precision, and they do not depend on the number of measurements for long arcs and they decrease with the number of measurements for short arcs.


2005 ◽  
pp. 73-78 ◽  
Author(s):  
Rade Pavlovic ◽  
Natasa Todorovic

The orbital elements and the corresponding astrophysical quantities are given for the following double stars: WDS 00174+0853 = A 1803, WDS 02231+7021 = MLR 377, WDS 05484+2052 = STT 118, WDS 06425+6612 = MLR 318, WDS 13100+1732 = STF1728, WDS 162942626 = GNT 1, WDS 210740814 = BU 368AB. .


1995 ◽  
Vol 166 ◽  
pp. 396-396
Author(s):  
A.A. Kisselev ◽  
L.G. Romanenko

The dynamical states of nine wide visual double stars (ADS 7251, 10329, 10386, 10759 [psi Dra], 11061 [40&41 Dra], 11632, 12169, 12815 [16 Cyg]) are considered. The 20-30 – year series of photographic observations obtained with the Pulkovo 26-inch refractor (Kisselev et al., 1988) supported by the data of relative radial velocities of the components and parallaxes are used. On this base the vectors of relative spatial positions and velocities of the components are determined or estimated with confidence. Families of orbits, satisfying observational data are determined by assuming stability of motions in the systems. The orbits of three nearby binaries ADS 7251, 11632 and 61 Cyg were calculated earlier by classical methods and belong to the family mentioned above. Thus the authenticity of our analysis is proved (Kisselev, Kiyaeva, 1980). It is shown that elliptical motion in the couples ADS 10759 and 11061 could be explained only if an additional (hidden) mass exists. This mass consists of one solar mass for the first couple and two solar masses for the second one. The dynamical orbital elements of the binaries belonging to each family may differ greatly, but the geometrical elements are fairly stable. The orientation of the orbit planes of binaries with respect to the Galaxy plane is determined. In one half of the cases the orbital planes are approximately orthogonal to that of our Galaxy.


1992 ◽  
Vol 135 ◽  
pp. 326-329
Author(s):  
A.A. Kisselev

AbstractThe key formulae of the AMP–method for deriving the orbital elements of wide visual double stars are considered. The usual astrometrical observational data must be supplemented with the values of radius of curvature of observed arc of the binary, its trigonometric parallax and the astrophysical data: the sum of the mass of the components and their relative radial velocity. Thus, the orbital elements can be derived on the basis of short–arc observations.


1965 ◽  
Vol 5 ◽  
pp. 109-111
Author(s):  
Frederick R. West

There are certain visual double stars which, when close to a node of their relative orbit, should have enough radial velocity difference (10-20 km/s) that the spectra of the two component stars will appear resolved on high-dispersion spectrograms (5 Å/mm or less) obtainable by use of modern coudé and solar spectrographs on bright stars. Both star images are then recorded simultaneously on the spectrograph slit, so that two stellar components will appear on each spectrogram.


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