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J/ApJ/652/681  Spectroscopic subcomponents in multiple systems   (Docobo+, 2006)

A methodology for the description of multiple stellar systems with spectroscopic subcomponents. Docobo J.A., Andrade M. <Astrophys. J., 652, 681-695 (2006)> =2006ApJ...652..681D
ADC_Keywords: Stars, double and multiple ; Binaries, spectroscopic ; Stars, masses ; Magnitudes ; Stars, diameters Keywords: binaries: close - binaries: eclipsing - binaries: spectroscopic - binaries: visual - methods: data analysis - methods: statistical - stars: fundamental parameters Abstract: We propose a methodology for analyzing triple stellar systems that include a visual double star wherein one of the components is a single- or double-lined spectroscopic binary. By using this methodology, we can calculate the most probable values of the spectroscopic binary's inclination, the angular separation between its components, and its stellar masses, and we can even estimate the spectral types. For a few W UMa-type eclipsing binaries, stellar radii are also determined. Moreover, we present new formulae for calculating stellar masses depending on spectral type. In this way we have studied 61 triple systems, five of them W UMatype eclipsing binaries with low-mass subcomponents. In addition, we study nine quadruple systems, applying the same methodology and considering them twice as a triple system. File Summary:
FileName Lrecl Records Explanations
ReadMe 80 . This file table3.dat 175 62 Summary of Derived Quantities for Triple Systems table4.dat 258 9 Summary of Derived Quantities for Quadruple Systems
Byte-by-byte Description of file: table3.dat
Bytes Format Units Label Explanations
1- 10 A10 --- WDS WDS name (HHMMm+DDMM) 12 I1 --- m_WDS [1/2]? Multiplicity index on WDS 13 A1 --- n_Name [±] Binary characteristics (1) 15- 32 A18 --- Name Name of the (sub)systems 34 I1 --- Grade [1/5] Grade of visual orbit according to Hartkopf et al. (2001AJ....122.3472H) 36 I1 --- Qual [1/5] Quality of results according to the two-dimensional parameter (G3) 38- 41 F4.1 solMass M1 Mass of the primary 43- 45 F3.1 solMass e_M1 rms uncertainty on M1 47- 50 F4.1 solMass M2 Mass of the secondary 52- 54 F3.1 solMass e_M2 rms uncertainty on M2 56- 58 F3.1 solMass M3 Mass of the tertiary 60- 62 F3.1 solMass e_M3 rms uncertainty on M3 64- 69 A6 --- SpT1 MK spectral type of the primary 71- 76 A6 --- SpT2 MK spectral type of the secondary 78- 83 A6 --- SpT3 MK spectral type of the tertiary 85 I1 --- SB [1/2] SB type (SB1 or SB2) 87- 90 F4.1 mag m1 Apparent visual magnitude of the primary 92- 94 F3.1 mag e_m1 rms uncertainty on m1 96- 99 F4.1 mag m2 Apparent visual magnitude of the secondary 101-103 F3.1 mag e_m2 rms uncertainty on m2 105-111 F7.3 mas a12 Semi-major axis for the spectroscopic subsystem 112-117 F6.3 mas e_a12 rms uncertainty on a12 119-125 F7.3 mas rho Maximum angular separation 126-131 F6.3 mas e_rho rms uncertainty on rhomax 132 A1 --- n_rho [*] *: spectroscopic circular orbit 134-139 F6.2 mas plx HIPPARCOS parallax 140-144 F5.2 mas e_plx rms uncertainty on plx 146-150 F5.1 mas plxi New parallax (G1) 152-154 F3.1 mas e_plxi rms uncertainty on plxi 156-160 F5.1 mas plxf New parallax (G2) 161-164 F4.1 mas e_plxf rms uncertainty on plxf 166-170 F5.1 deg i12 Spectroscopic binary inclination (or 180°-i12) 172-175 F4.1 deg e_i12 rms uncertainty on a12
Note (1): Notes as follows: + = this binary has both spectroscopic and visual orbits - = the spectroscopic binary is a W UMa-type binary
Byte-by-byte Description of file: table4.dat
Bytes Format Units Label Explanations
1- 10 A10 --- WDS WDS name (HHMMm+DDMM) 13 A1 --- n_Name [±] Note on Name (1) 15- 17 F3.1 solMass M1 Mass of the primary 19- 21 F3.1 solMass e_M1 rms uncertainty on M1 23- 27 A5 --- SpT1 MK spectral type of the primary 29- 31 F3.1 mag m1 Apparent visual magnitude of the primary 33- 35 F3.1 mag e_m1 rms uncertainty on m1 37- 42 F6.2 mas plx HIPPARCOS parallax 44- 47 F4.2 mas e_plx rms uncertainty on plx 48 A1 --- n_plx [a] Note on plx for WDS 18002+8000 (2) 50- 72 A23 --- Name Name 74- 76 F3.1 solMass M2 Mass of the secondary 78- 80 F3.1 solMass e_M2 rms uncertainty on M2 82- 86 A5 --- SpT2 MK spectral type of the secondary 88- 90 F3.1 mag m2 Apparent visual magnitude of the secondary 92- 94 F3.1 mag e_m2 rms uncertainty on m2 96-100 F5.1 mas plxAi New parallax for A system (G1) 102-104 F3.1 mas e_plxAi rms uncertainty on plxAi 106 I1 --- GradeA [1/5]? Grade of visual orbit for A system according to Hartkopf et al. (2001AJ....122.3472H) 108-110 F3.1 solMass M3 Mass of the tertiary 112-114 F3.1 solMass e_M3 rms uncertainty on M3 116-119 A4 --- SpT3 MK spectral type of the tertiary 121-123 F3.1 mag m3 Apparent visual magnitude of the tertiary 125-127 F3.1 mag e_m3 rms uncertainty on m3 129-133 F5.1 mas plxBi New parallax for B system (G1) 135-137 F3.1 mas e_plxBi rms uncertainty on plxi 139 I1 --- GradeB [1/5]? Grade of visual orbit for B system according to Hartkopf et al. (2001AJ....122.3472H) 141-143 F3.1 solMass M4 Mass of the component 4 145-147 F3.1 solMass e_M4 rms uncertainty on M4 149-152 A4 --- SpT4 MK spectral type of the component 4 154-157 F4.1 mag m4 Apparent visual magnitude of the component 4 159-161 F3.1 mag e_m4 rms uncertainty on m4 163-167 F5.1 mas plxf New parallax (G2) 169-171 F3.1 mas e_plxf rms uncertainty on plxf 173 I1 --- QualA [1/5] Quality of results according to the A system two-dimensional parameter (G3) 175 I1 --- SBA [1/2] SB type (SB1 or SB2) 177-183 F7.3 mas aA12 Semi-major axis for A system 185-190 F6.3 mas e_aA12 rms uncertainty on a12 192-198 F7.3 mas rhoA Maximum angular separation for A system 200-205 F6.3 mas e_rhoA rms uncertainty on rhomax 206 A1 --- n_rhoA [*] *: spectroscopic circular orbit 208-211 F4.1 deg iA12 Spectroscopic binary A inclination (or 180°-i12). 213-216 F4.1 deg e_iA12 rms uncertainty on a12 218 I1 --- QualB [1/5] Quality of results according to the B system two-dimensional parameter (G3) 220 I1 --- SBB [1/2] SB type (SB1 or SB2) 222-227 F6.3 mas aB12 Semi-major axis pour pair primary-secondary 228-233 F6.3 mas e_aB12 rms uncertainty on a12 234-240 F7.3 mas rhoB Maximum angular separation for B system 242-247 F6.3 mas e_rhoB rms uncertainty on rhomax 248 A1 --- n_rhoB [*] *: spectroscopic circular orbit 250-253 F4.1 deg iB12 Spectroscopic binary B inclination (or 180°-i12). 255-258 F4.1 deg e_iB12 rms uncertainty on a12
Note (1): Note as follows: + = the Bab, Bc, A subsystem in Bu 1099 AB also have visual orbits the Aa, Ab, B subsystem in STF 1523 AB also have visual orbits the Aa, Ab, B subsystem in STF 2308 AB also have visual orbits - = the Ba, Bb, A subsystem in STF 1781 AB is a W UMatype SB Note (2): Note as follows: the Ba, Bb subcomponent has plx(HIP)=19.64±3.80mas
Global notes: Note (G1): Parallax calculated as log(plxi)=(M1-m12-5)/5 - 0.5*log(1+10-0.4DM) where M1 is the absolute magnitude of the primary, DM=M1-M2 and m12 is combined apparent magnitude of each component of the visual pair (primary+secondary) Note (G2): Parallax calculated as plxf=aP-2/3[{sum j=1 to n }{Mj)]-1/3 where a and P are the semimajor axis and the period of the visual orbit, respectively, Mj is the j-component mass calculated at the end of the process, and n is 3 (triple system) or 4 (quadruple system). Note (G3): We have classified the systems in five quality grading boxes according to the distance to the (1,1)-point. This allows us to grade the results as follows: 1 = Very good Box1 {(0.95, 0.95)<ρsystem<(1.05, 1.05)} 2 = Good Box2 {(0.90, 0.90)<ρsystem<(1.10, 1.10)}-Box1 3 = Reliable Box3 {(0.85, 0.85)<ρsystem<(1.15, 1.15)}-Box2 4 = Preliminary Box4 {(0.80, 0.80)<ρsystem<(1.20, 1.20)}-Box3 5 = Indeterminate Box5 {ρsystem > (1.20, 1.20)}
History: From electronic version of the journal
(End) Patricia Vannier [CDS] 25-Jul-2008
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