J/AJ/129/2420 Proper motion derivatives of binaries (Makarov+, 2005)
Statistical constraints for astrometric binaries with nonlinear motion.
Makarov V.V., Kaplan G.H.
<Astron. J., 129, 2420-2427 (2005)>
=2005AJ....129.2420M 2005AJ....129.2420M
ADC_Keywords: Stars, double and multiple ; Proper motions ;
Parallaxes, trigonometric
Keywords: astrometry - binaries: general
Abstract:
Useful constraints on the orbits and mass ratios of astrometric
binaries in the Hipparcos catalog are derived from the measured proper
motion differences of Hipparcos and Tycho-2 (Δµ),
accelerations of proper motions (dµ/dt) and second derivatives of
proper motions (d2µ/dt2). It is shown how, in some cases,
statistical bounds can be estimated for the masses of the secondary
components. Two catalogs of astrometric binaries are generated, one of
binaries with significant proper motion differences and the other of
binaries with significant accelerations of their proper motions.
Description:
table1.dat catalog includes Hipparcos stars with proper motions
significantly different in the Hipparcos and Tycho-2 astrometric
catalogs, suspected to be long-period astrometric binaries. Derived
quantities Q0 are given for each star that are statistically related
to the mass ratio.
table2.dat catalog includes Hipparcos stars with accelerating proper
motions, suspected to be long-period astrometric binaries. Derived
quantities Q1 are given for each star that are statistically related
to the mass ratio.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table1.dat 95 1929 A catalog of astrometric binaries with discrepant
proper motions in Hipparcos and Tycho-2
table2.dat 114 2622 A catalog of astrometric binaries with
accelerating proper motions in Hipparcos
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See also:
I/239 : The Hipparcos and Tycho Catalogues (ESA 1997)
Byte-by-byte Description of file: table1.dat
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Bytes Format Units Label Explanations
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1- 6 I6 --- HIP [68/118213] HIP (I/239) number
8- 11 I4 --- TYC1 TYC-1 (I/239) identification
13- 17 I5 --- TYC2 TYC-2 (I/239) identification
19 I1 --- TYC3 TYC-3 (I/239) identification
21- 27 F7.1 mas/yr pmRA Proper motion from HIP, mualpha*cos(delta)
29- 35 F7.1 mas/yr pmDE Proper motion from HIP, mudelta
37- 41 F5.1 mas/yr e_pmRA Error of HIP proper motion
43- 47 F5.1 mas/yr e_pmDE Error of HIP proper motion
49- 55 F7.1 mas/yr pmRAT Proper motion from Tycho-2, mualpha*cos(delta)
57- 63 F7.1 mas/yr pmDET Proper motion from Tycho-2, mudelta
65- 69 F5.1 mas/yr e_pmRAT Error of Tycho-2 proper motion
71- 75 F5.1 mas/yr e_pmDET Error of Tycho-2 proper motion
77- 81 F5.1 mas plx HIP trigonometric parallax
83- 86 F4.1 mas e_plx Error of HIP parallax
88 A1 --- Flag [A] Acceleration flag
90- 93 F4.1 [yr-1] logQ0 Q0 factor (1)
95 A1 --- u_plx [U] Uncertain parallax
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Note (1): Parameter used to identify Δµ binaries.
Q0= (Δmu)/(2π*plx)
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Byte-by-byte Description of file: table2.dat
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Bytes Format Units Label Explanations
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1- 6 I6 --- HIP [62/118286] HIP (I/239) number
8- 11 I4 --- TYC1 ? TYC-1 (I/239) identification
13- 17 I5 --- TYC2 ? TYC-2 (I/239) identification
19 I1 --- TYC3 ? TYC-3 (I/239) identification
21- 27 F7.2 mas/yr+2 dpmRA/dt Acceleration from HIP,
d(mualpha*cosδ)/dt
29- 35 F7.2 mas/yr+2 dpmDE/dt Acceleration from HIP, d(mudelta)/dt
37- 43 F7.2 mas/yr+2 e_dpmRA/dt Errors of HIP acceleration
45- 51 F7.2 mas/yr+2 e_dpmDE/dt Errors of HIP acceleration
53- 57 F5.2 --- Sig Significance level
59- 65 F7.2 mas/yr+3 d2pmRA/dt2 ? Second derivatives of proper motion from
HIP, d2(mualpha*cosδ)/dt2
67- 73 F7.2 mas/yr+3 d2pmDE/dt2 ? Second derivatives of proper motion
from HIP, d2(mudelta)/dt2
75- 81 F7.2 mas/yr+3 e_d2pmRA/dt2 ? Error of HIP second derivatives
83- 89 F7.2 mas/yr+3 e_d2pmDE/dt2 ? Error of HIP second derivatives
91- 95 F5.2 ---- Sig2 ? Significance level
96-100 F5.1 mas plx HIP trigonometric parallax
102-105 F4.1 mas e_plx Error of HIP parallax
107 A1 --- Flag [M] δµ flag
109-112 F4.1 [yr-2] logQ1 Q1 factor (1)
114 A1 --- u_plx [U] Uncertain parallax
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Note (1): Parameter used to identify dmu/dt binaries.
Q1= (dmu/dt)/(4π2*plx)
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Acknowledgements: Valeri Makarov, Valeri.V.Makarov-119624(at)jpl.nasa.gov
(End) Patricia Vannier [CDS] 17-May-2005