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Adapting Marchal's test of escape to real triple stars
Context: For a general N-body system, Marchal constructed an analyticaltest of escape, which uses only a one-dimensional projected motion stateof the system at any given instant. This test is well adapted toidentifying real, disintegrating small stellar systems, of which thefull motion states are generally unavailable. However, to our knowledge,there has been no practical application of this test until thepresent-day. Aims: In this paper, we aim at adapting the abovetest to visual triple stars with estimable component masses and knownkinematic data on the plane perpendicular to the line-of-sight. Asillustrating examples, our goal is to identify disintegrating Hipparcoslinear triple systems. Methods: The fundamental techniques ofanalytical geometry were used to adapt the test of escape to practicalapplications, and the Monte Carlo method used to cope with theunavoidable observational errors, so that the confidence probability ofa real triple star disintegrating could be obtained. Results: Apractical algorithm was designed to make full use of the two-dimensionalkinematic data in testing usual visual triple stars. This algorithm isthen applied to 24 Hipparcos linear triple systems with estimablecomponent masses and the disintegration probability given.
| SANTIAGO 91, a right ascension catalogue of 3387 stars (equinox J2000).
The positions in right ascension of 3387 stars belonging to the Santiago67 Catalogue, observed with the Repsold Meridian Circle at Cerro Calan,National Astronomical Observatory, during the period 1989 to 1994, aregiven. The average mean square error of a position, for the wholeCatalogue, is +/-0.009 s. The mean epoch of the catalogue is 1991.84.
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Observation and Astrometry data
| Constellation: | Fourneau |
| Right ascension: | 03h03m01.20s |
| Declination: | -26°58'52.8" |
| Apparent magnitude: | 9.103 |
| Proper motion RA: | 24.9 |
| Proper motion Dec: | 14 |
| B-T magnitude: | 9.928 |
| V-T magnitude: | 9.172 |
Catalogs and designations:
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