J/A+A/380/238     Long-period companions of multiple stars       (Shatsky, 2001)
The long-period companions of multiple stars tend to have
moderate eccentricities
    Shatsky N.
   <Astron. Astrophys. 380, 238 (2001)>
   =2001A&A...380..238S 2001A&A...380..238S
ADC_Keywords: Stars, double and multiple
Keywords: binaries: visual - stars: statistics; formation
Description:
    We examined the statistics of an angle gamma between the radius vector
    of a visual companion of a multiple star and the vector of its
    apparent relative motion in the system. We found that for the wide
    physical subsystems of the 174 objects from the Multiple Star
    Catalogue (MSC, Cat. J/A+AS/124/75) gamma is bell-shaped. Table 1
    presents the separation and position angle of visual outer companions
    of the sample multiples, and the relative motion (since discovery) and
    its direction - angle gamma with its error. Positions are taken for
    the first epoch mostly from Washington Double Star catalogue (WDS,
    Cat. I/237) and from Hipparcos (Cat. I/239) or Tycho (Cat. I/239
    and I/259) catalogues for the second epoch. Orbital motion in inner
    subsystems of multiple stars is taken into account in gamma when
    significant. Table 2 gives the cross-identification of objects and
    components in different catalogues.
File Summary:
--------------------------------------------------------------------------------
 FileName      Lrecl  Records   Explanations
--------------------------------------------------------------------------------
ReadMe            80        .   This file
table1.dat        39      174   Position parameters and angles gamma
table2.dat        90      174   Objects cross-identification
--------------------------------------------------------------------------------
See also:
   I/237 : The Washington Visual Double Star Catalog, 1996.0 (Worley+, 1996)
   I/211 : CCDM (Components of Double and Multiple stars) (Dommanget+ 1994)
   I/239 : The Hipparcos and Tycho Catalogues (ESA 1997)
   I/259 : The Tycho-2 Catalogue (Hog+ 2000)
   J/A+AS/124/75 : Multiple star catalogue (MSC) (Tokovinin 1997-1999)
Byte-by-byte Description of file: table1.dat
--------------------------------------------------------------------------------
   Bytes Format Units     Label     Explanations
--------------------------------------------------------------------------------
   1- 10  A10   ---       WDS       Object ID in WDS (Cat. I/237) (G1)
  12- 13  A2    ---       Comp      Components designations in MSC,
                                     Cat. J/A+AS/124/75
  15- 19  F5.1  arcsec    Sep       Separation from primary for second epoch
  21- 23  I3    deg       PA        Position angle for second epoch
  25- 27  I3    deg       gamma     [0-360[ gamma-angle for second epoch
  29- 30  I2    deg     e_gamma     [2-30[ error of gamma
  32- 35  F4.1  arcsec    delta     [0-15] motion - relative position change (2)
  37- 39  A3    ---       Note      [cw*123moOxX]? Note (3)
--------------------------------------------------------------------------------
Note (2): Motion is equal to the difference of proper motion of companions
      multiplied by epoch difference, i.e. it is a relative shift of the
      secondary component during the history of observations.
Note (3): Note on origin of position parameters and details of gamma
           calculation:
      c = first epoch Sep,PA are taken from CCDM (Cat. I/211) rather than
           from WDS (Cat. I/237)
      w = second epoch position is taken from WDS (Cat. I/237)
           (no HIP or Tycho id)
      * = one of the alternative Hipparcos solutions is accepted
  1,2,3 = Hipparcos or Tycho photocenter positions are computed for
          primary, secondary or both subsystems of the object, respectively
      m = Tycho-II proper motion difference is used to compute gamma
           instead of Sep, PA-change.
    O,o = position parameters are corrected for orbital motion in primary,
           secondary subsystems of the object
    X,x = uncertainty from unpredictable motion in primary, secondary
           subsystem is taken into account in e_gamma
--------------------------------------------------------------------------------
Byte-by-byte Description of file: table2.dat
--------------------------------------------------------------------------------
   Bytes Format Units   Label   Explanations
--------------------------------------------------------------------------------
   1- 10  A10   ---     WDS     Object ID in WDS (Cat. I/237) (G1)
  12- 21  A10   ---     IDS     Object ID in Index Catalogue IDS
                                 (1963IDS...C......0J 1963IDS...C......0J) (2)
  23- 24  A2    ---     Comp    Components designations in MSC,
                                 Cat. J/A+AS/124/75
  26- 30  A5    ---   m_WDS     ? Components desig. in WDS (3)
  32- 41  A10   ---     CCDM    ? Object ID in CCDM (Cat. I/211) (4)
  43- 44  A2    ---   m_CCDM    ? Components designations in CCDM
  46- 51  I6    ---     HIP1    ? HIP (Cat. I/239) number of primary component
  53- 58  I6    ---     HIP2    ? HIP (Cat. I/239) number of secondary
                                   (empty if HIP2=HIP1)
  60- 61  A2    ---   m_HIP1    ? Components designations in DMSA/C (5)
  63- 74  A12   ---     TYCHO1  ? Tycho identifier of primary
  76- 87  A12   ---     TYCHO2  ? Tycho identifier of secondary
  89- 90  A2    ---   r_TYCHO1  [ 12]? Tycho version (I/239) or I/259)
                                        for TYCHO1 and TYCHO2 (6)
--------------------------------------------------------------------------------
Note (2): Index Double Star catalogue identification: also approximate
      coordinates in the same form as for WDS (Cat. I/237)
      but for equinox 1900.0
Note (3): Multiple visual systems are denoted as AB-C or AB-CD in WDS
      (Cat. I/237) when position parameters are given there with
      respect to corresponding (visual) photocenters of subsystems
Note (4): CCDM (Cat. I/211) identification (when available) differs 
       sometimes from WDS (Cat. I/237) due to round-off errors in 
       produced object identifier
Note (5): Component identifiers as given in Component Solutions of the Double
      and Multiple Star Annex of Hipparcos Catalogue (Cat. I/239) in case
      of a single HIP-number for both components in question
Note (6): Position code of a reference of TYCHO1 and TYCHO2 fields:
        first symbol gives a reference for primary component,
        second symbol for secondary.
      1 = Tycho Catalogue (1997, Cat. I/239)
      2 = Tycho-2 Catalogue (2000, Cat. I/259)
--------------------------------------------------------------------------------
Global notes:
Note (G1): Identification of the multiple star in WDS (Cat. I/237)
     represents approximate equatorial coordinates of object for equinox
     2000.0 in format: [HHMMMsDDMM], where HH is RAh, MMM is RAm with
     decimal minutes, s is a declination sign, DD is DEd, MM is DEm.
--------------------------------------------------------------------------------
Acknowledgements: N. Shatsky 
(End)               N. Shatsky [Sternberg Institute]                 05-Oct-2001