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Äàòà èçìåíåíèÿ: Sun Apr 12 12:30:28 2009
Äàòà èíäåêñèðîâàíèÿ: Mon Oct 1 20:30:46 2012
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Ïîèñêîâûå ñëîâà: ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï ï
, 2009, 86, 2, . 148­157

521.328

12 -
c 2009 . . . , . . , . .
, .-,
10.09.2007 .; 18.01.2008 .

12 , : ADS 497, ADS 2427 (GL 130.1), ADS 3593, ADS 5436, ADS 6646, ADS 6783, ADS 9559 ( ), ADS 10329, ADS 10759 ( Dra), ADS 14878, ADS 15229 ADS 16558. 26- , WDS, , HIPPARCOS. , 5 -10 . 6 500 20000 . 5 2000 100000 . ­ ADS 497 ADS 10329 ­ 1 3 M "­". , ADS 3593, ADS 14878 ADS 16558, 46, 25 7300 M , . ADS 10759 0.3 40 , 0.4 M . 12 . , . PACS: 97.80.Di

1. - () 420 ( > 3 , m < 10m ). 20­40- 26- . [1­3]. . , , . , 3 -4 . ,

(-, - , ), . a priori 300­500 . 5 -10 . . (), .. .. 1980 . [4], , . - T0 , : (, ) ­ B A, µ ­ B A, ­ . . , µ ­ . /. ..
148




149

( . [5]): c (1) r 3 = k2 2 | sin( - )|, µ k2 = 4 2 MAB ­ , MAB ­ M . 2k2 r 2, t V (2)

50 , -, - . , , , [12] [12, 13], , . [14­18], , [14]. 2. ADS 6783, ADS 9559 ( Boo) ADS 16558. , 1994 . . ADS 497, ADS 2427, ADS 3593, ADS 5436, ADS 6646, ADS 10329, ADS 10759, ADS 14878 ADS 15229 . , 12 , [7, 8]. ADS 10329 ADS 10759, [14], , Vr [8] HIPPARCOS [11]. . 1 . , . 50 , ­ 100 . , . , "" . . 2 ­ WDS [10]. .. . , ADS 2427 ADS 16558 . HIPPARCOS ADS 3593, ADS 14878 ADS 15229. ADS 9559 ( Boo). . 1780 . , .

t ­ , V ­ ( ../), : V2 = µ t
2

+

Vr 4.74

2

,

(3)

Vr = VrB - VrA ­ ( /). Vr 0.1 /. , , . 10 1982­1987 . 6- .. (. [6]). 70 1985­1998 . .. () [7, 8]. , . , 1994 . 26- , [9]. , , .. [10]. , HIPPARCOS 1997 . [11].
86 2

2009


150

.

1. - ADS 2427 2000
.0

m m

A B

Sp

A B

A MSp , M B MSp , M

t ±(t ) 0.074 ±1 0.045 ±1 0.040 ±2 0.040 ±6 0.028 ±1 0.027 ±2 0.021


µA ,. µA ,. VrA ± (VrA ),/ x y µB ,. µB ,. VrB ± (VrB ),/ x y +431 +431 +027 +035 ­357 ­365 ­007 ­008 +085 +084 ­067 ­070 +059 +059 +186 +181 ­054 ­052


2000.0 m

Sp

03h 16.1

9.5 9.8 4.0 5.2 8.0 9.2 8.5 9.0 3.2 7.4 7.2 8.7 6.0 6.0 7.9 8.7 7.6 7.9 8.7 8.7 7.1 7.1 6.5 7.0

M2V M2V F5IV F8V K5V M0 G5 - G8III G0V G0V K0V F6V F5V G4V G7V F4V F7V G5 G G5V G5V K4III K2

0.4 0.4 1.8 1.2 0.8 (0.5) 0.9 (0.9) 2.6 1.1 1.1 0.8 1.3 1.3 1.7 0.8 1.9 1.3 0.9 (0.9) 0.9 0.9 2.3 (0.8)


­325 ­325 ­270 ­274 +241 +255 ­058 ­068 ­111 ­110 ­179 ­174 ­105 ­105 ­408 ­399 ­068 ­068 ­016 ­025


+21.2 ± 0.3 +21.6 ± 0.4 -12.9 ± 0.2 -11.2 ± 0.2 -72.0 ± 0.2 -71.1 ± 0.3 -61.6 ± 0.4 -59.0 ± 0.2 -12.6 ± 0.2 -12.3 ± 0.3 +7.9 ± 0.2 +7.8 ± 0.2 +5.7 ± 0.3 +7.9 ± 0.2 -60.9 ± 0.1 -60.0 ± 0.4 -6.7 ± 0.2 -6.6 ± 0.1 -7.3 ± 0.7 -7.0 ± 0.3 +31.0 ± 0.1 +29.0 ± 0.1 +9.1 ± 0.2 +8.2 ± 0.2

(GL130.1) 58 10 10759 ( Dra) 10329 17 42.0 72 10 17 03.4 59 34 15229 21 36.9 82 55 9559 ( Boo) 6783 15 15.5 33 19 08 24.3 44 57 5436 06 48.3 55 43 497 00 36.0 30 00 6646 3593 08 16.5 79 30 05 01.3 50 15 14878 21 20.0 52 59 16558


±1 0.019 ±2 0.014 ±3 0.010 ±4 0.006 ±5 0.003 ±1


+017 ­008 -025 -032 +015 +003

+082 +046 ­003 ­001

23 10.0 36 51

[19]. - [8] ( ).





, , [21] . ADS 14878 AGK-3 [20].



. m ­ , MSp ­ "­ " ( ), Vr ­ , [7] [8]. , , , HIPPARCOS [11].

, WDS, ADS 6783, ADS 14878 ADS 16558 (. . 4­6), ´

, (
ef f

),


86 2 2009




2. ADS 2427 10 759 10 329 15 229 9559 6783 5436 497 6646 3593 14 878 16 558 T
s

151

T

f

n 48 58 27 55 94 27 87 73 47 71 88 28

T

Pul s

T

Pul f

n

Pul

.



Pul



WDS

1914 1834 1830 1832 1822 1830 1821 1832 1832 1830 1828 1825

1994 1994 1995 1986 2005 1998 2003 1991 1997 1983 1998 1999

1971 1980 1970 1971 1994 1996 1962 1971 1962 1970 1960 1995

1999 2001 1999 2001 2005 2005 2003 2000 2003 1999 2005 2005

100 55 22 54 10 13 33 87 41 75 30 14

9.0 0.3 2.0 5.0 0.0 0.0 1.0 2.0 0.2 10. 0.5 0.1

25.0 3.0 11.0 44.0 0.0 1.0 2.0 13.0 2.0 47.0 2.0 1.0

. Ts Tf ­ ; n ­ Pu Pu WDS [10]; Ts l Tf l ­ ; nPul ­ , 26- ; "."­ : ­ .. , ­ .. ­ , ­ ; Pul WDS ­ WDS.

. , (, ADS 3593, ADS 5436 ADS 14878), B­A 180 . , ° ef f = 5500 A. 26 - "­" [1]. 6 20 , . "" .. (292 ) UMAX, 33 ADS 5436 ­ , 209 ­ .. . [3]. . 2 , 2000.0, WDS. . 3 I ( -I), , , Vr = VrB - VrA . . 3 , -I .
86 2

±0.001 /, ADS 16558. 6 12 - . c ( -II) , : c = µ1 + µ2 t2 - t1 = 57.296 , 2 |1 - 2 | (4)

­ , 1 2 ­ , , µ1 µ2 ­ , t1 t2 ­ . , , , ( ) . (4) c ADS 497, ADS 2427 ADS 3593, ­ ADS 10329. ADS 6646, ADS 10759 ADS 15229 c ( , .. ). 5

2009


152

.

3. () ADS 2427 10 759 10 329 15 229 9559 6783 5436 497 6646 3593 14 878 16 558


T T

s

T


0

() 13.53 ±0.02 15.46 ±0.01 49.55 ±0.15 274.67 ±0.09 78.02 ±0.04 242.15 ±0.01 257.28 ±0.03 22.94 ±0.03 14.46 ±0.06 149.65 ±0.06 114.92 ±0.14 318.52 ±0.01


µ,./ (µ),./ 0.0313 ±0.0006 0.0126 ±0.0006 0.0149 ±0.0005 0.0110 ±0.0010 0.0016 ±0.0011 0.0032 ±0.0006 0.0051 ±0.0006 0.0091 ±0.0003 0.0032 ±0.0004 0.0239 ±0.0006 0.0054 ±0.0004 0.0109 ±0.0024

( ) 301




c

Vr ,/ (Vr ),/ 0.3 ±0.4 1.7 ±0.2


f

() 1982.9 1992.6 4.820 ±0.005 30.078 ±0.004 1915.0 12.029 ±0.042 1980.8 3.042 ±0.013 1914.11 105.021 ±0.063 1996.17 29.223 ±0.005 1982.65 4.599 ±0.007 1986.9 6.131 ±0.002 1913.3 1986.0 20.792 ±0.013 4.189 ±0.008 1917.19 6.340 ±0.025 1995.79 67.173 ±0.010

(c ) 5.0 ±1.1 13.2

1971 1999 1834 2001 1830 1999 1971 2001 1822 2005 1830 2005 1962 2003 1971 2000 1858 2003 1970 1999 1828 2005 1995 2005

±2

133 ±2 332 ±4 198 ±10 250 ±12 57 ±5 96 ±3 319 ±1 123 ±6 243 ±2 108 ±2 282 ±12

2.9

1.0 ±0.3


1.0 ­ ­ ­ 3.7 ±0.8 13.5 16.0 ±5.8 ­ ­

2.3 ±0.4 +0.3 ±0.3 -0.1 ±0.2 +2.3 ±0.2 0.9 ±0.4 0.1 ±0.3 0.2 ±0.8 -2.0 ±0.2 -1.0 ±0.3



. . T = T0 .

. Ts Tf ­ ; T0 ­ ; , , µ ­ ; c ­ ; Vr ­ , T0 .

c . ( ) (1) , r rt [22]: rt = r = r cos , 4 ±38 . (5)

3. . 4. ADS 497, ADS 2427, ADS 6646, ADS 10329, ADS 10759 ADS 15229 ( ) , -I, c , Vr t . [4, 14] 86 2 2009




4. - ADS 2427 10 759 10 329 15 229 9559 6783 5436 497 6646 3593 14 878 16 558 16 558


153

a 4.5 ±0.4 31.0 ±7.0 7.1 ±0.3 3.3 ±0.3 78 21 4.9 4.5 ±0.3 15 ±2 48 12 124


P , 540 ±60 10 000 ±3300 1200 ±60 530 ±80 76 000 16 000 2200 1900 ±190 20 000 ±3600 49 000 18 000 98 000 110 000

-44 +44 0 ±1 0 ±1 -52 ±7 +38 -38 +38 -38 +38 -38 0 ±1 0 ±1 +46 -46 +38 -38 +38 -38 0


e 0.49 0.57 0.28 ±0.07 0.71 ±0.05 0.74 ±0.10 0.73 0.99 0.94 0.87 0.30 0.89 0.53 ±0.07 0.48 ±0.12 0.88 0.88 0.54 0.97 0.64 0.70 0.75

115 292


i 133 136


308 107


T , 1745 1793 3817 ±500 1416 ±3 2133 ±20 39 773 22 775 6845 7497 1246 2307 1384 ±32 8800 ±800 1999 2014 550 1035 -5887 -5560 -2788

b

Q

M

dy n

,M

+47 -42 -70 +19 +72 -10 -12 -29 +18 +11 -1 -41 ­27 -15 +2 +24 -34 -54 +22 -26

0.8 3.4 4.5 2.0 3.7 1.9 2.6 3.5 3.2 46 25 7300


99 ±36 185 ±21 103 ±8 218 136 212 30 253 119 206 ±8 157 ±85 90 275 60 158 26 195 82

55 ±4 151 ±8 112 ±5 86 74 81 84 97 104 155 ±9 3 ±10 46 45 96 111 126 129 128

16 ±1 50 ±18 244 ±6 75 91 235 58 263 246 23 ±2 15 ±78 64 242 290 97 104 279 139







136

3.1

"­".

ADS 16558 t = = 0.041 . . a, P , e, , i, T ­ ; ­ AB T0 , . 3; bQ ­ ; Mdy n ­ , .

[5]. , , , , B A T0 ( > 0 ) ( < 0 ). , . , ADS 2427 ( 1914 .),
86 2

( = -44 = +44 ) ­ , (. 4). , , ADS 497, ADS 6646, ADS 10329 ADS 10759, , , , T0 ( = 0 ), . ADS 15229

2009


154

.

Y ­ 1.5 1830 ­ 2.0 1913 1901 ­ 2.5 1896 ­ 3.0 1977 ­ 3.5 ­ 4.0 1.0 1999 1.5 1983 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 X 1959 1921 1926 1868 1852

. 1. ADS 3593 1830­2000 . ( 1830 . ­ .. ). ­ , ­ , ­ WDS, ­ .

Y 9.0 1999 8.5 8.0 7.5 7.0 6.5 6.0 6.5 7.0 7.5 8.0 1901 1879 1866 1970 1966 1915

1830 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 X

. 2. ADS 10329 1830­1999 . ( 1830 . ­ .. ). . 1.

= -52 , = +52 ((O­C) = = 10 1832 .). ADS 3593 , = -46 = = +46 . t = 0.010 , [19], , 46 M ­ , . [19], . 2 M ( "­") 3 (t = 0.030 ). ,

, .. 0.1 . . 1 1830 1999 . ADS 5436, ADS 6783, ADS 9559, ADS 14878 ADS 16558 ­ = +38 = -38 . , (. . 4). , ADS 497 ADS 10329, , 1 3 M , .
86 2 2009






155

16 15 14 13 12 11 1820

1840

1860

1880 1900 1920

1940

1960

1980

2000 2020 T, ,,ñ°

. 3. ADS 10759 1832­2003 . ( 1832 . ­ .. ). . 1.

Y ­ 13.2
1958

­ 13.4 ­ 13.6
1867

1998.1

1900

1894.3

1964

2005

1980 1920 1915

­ 13.8 ­ 14.0

1897

1930

1830
1847 1894.2

­ 14.2 ­ 27.0 ­ 26.8 ­ 26.6 ­ 26.4 ­ 26.2 ­ 26.0 ­ 25.8 ­ 25.6 ­ 25.4 ­ 25.2 ­ 25.0 X
. 4. ADS 6783 1830­2005 . ( 1830 . ­ .. ). . 1.

Y ­ 1.8
1929 1851

­ 2.3
1843

1828 1991

1832 ­ 2.8
1894 1910 1952

1995

2005
1984

­ 3.3 4.2

4.7

5.2

5.7

6.2

6.7

7.2 X

. 5. ADS 14878 1828­2005 . ( 1832 . ­ .. ). . 1.



86

2

2009


156

.

Y 51.00
1913

50.75
1904

50.50 2005 50.25 50.00 49.75
1986

1999 1912 1904

1997

1876
1825

1923

49.50 ­ 45.5

­ 45.0

­ 44.5

­ 44.0

­ 43.5

­ 43.0

­ 42.5 X

. 6. ADS 16558 1825­2005 . ( 1876 . ­ . ). . 1.

, , "­" . . . 2 , ADS 10329 . , (25 M ) ADS 14878, . , 3 M . ADS 16558 , HIP = 0.003 , 7300 M , . , , . , (. 1) (t = 0.041 ). 7 "­" [23]. ADS 10759 ( Dra). . 3 , 0.5 . , = 30 40 0.3 B A.

0.4 M . - ­ ­ . . 4 bQ ­ . , (|bQ | < 30 , .. , [16, 17]). . . 4, 5 6 ADS 6783, ADS 14878 ADS 16558, . = +38 = -38 . , , ( ) , 1.9 M (), 25 M () 7300 M ( ?). 4. . . 50 . 6 500
86 2 2009






157

20 000 . 1 3 M . 5 . . 26- , ­ [1­3]. , . ( GAIA), - , ­ .
1. . . , . . , . . ., 200 - 26- 1960­1986 . (.: , 1988). 2. A. A. Kiselev, O. A. Kalinichenko, O. V. Kijaeva, et al., Pulkovo Visual Double Star Catalogue, VizieR On-line Data Catalog: I/292, 2004. 3. . . , . . , . . ., 234 - , http://www.puldb.ru, 2006. 4. . . , . . , . . 57, 1227 (1980). 5. .. , (.: , 1989). 6. . . , . . , . . 71, 278 (1994).

7. . . , . . 71, 293 (1994). 8. A. A. Tokovinin and M. G. Smekhov, Astron. and Astrophys. 382, 118 (2002). 9. C. R. Tolbert, Astrophys. J. 139, 1105 (1964). 10. B. D. Mason, G. L. Wycoff, W. I. Hartkopf, et al., Astron. J. 122, 3466 (2001). 11. M. A. C. Perryman, E. Hoeg, et al., The HIPPARCOS and TYCHO Catalogs (Noordwijk, ESA, 1997). 12. . . , . . , ". ." 29, 46 (2003). 13. . . , . . , . . . . 217, 275 (2004). 14. . . , . . , . . 73, 875 (1996). 15. . . , . . , . . , . . , . . . . 214, 239 (2000). 16. . . , . . , . . . . 216, 269 (2002). 17. A. A. Kisselev and L. G. Romanenko, ASP Conf. Ser. 316, 250 (2004). 18. . . , . . , . . , . . . . 217, 279 (2004). 19. . . , . . , . . , . . . . 208, 9 (1994). 20. O. Heckmann, AGK-3. Star catalogue of positions and proper motions north of -2.5 degree declination (Hamburg­Bergedorf: Hamburger Sternwarte, 1975). 21. L. F. Jenkins, General catalogue of trigonometric stellar parallaxes (New Haven: Yale Univ. Observ., 1952). 22. . . , (.: , 1954), . 74. 23. . . , (.: , 1977), . 295.

A Dynamical Study of 12 Wide Visual Binaries
A. A. Kisselev, L. G. Romanenko, and O. A. Kalinichenko
We have carried out the first dynamical studies of the relative motions of the components of 12 wide binaries: ADS 497, ADS 2427 (GL 130.1), ADS 3593, ADS 5436, ADS 6646, ADS 6783, ADS 9559 ( T), ADS 10329, ADS 10759 ( Dra), ADS 14878, ADS 15229, and ADS 16558. The analysis is based on series of photographic observations made with the 26 refractor of Pulkovo Observatory, supplemented by data from the WDS Catalog and HIPPARCOS radial velocities and parallaxes. We used the parameters of the apparent motions, which can yield the orbit and mass of a binary from observations over a short arc of the orbit occupying of the order of 5 -10 . The orbits and masses for six stars with orbital periods from 500 to 20 000 years have been reliably determined. For five stars with periods from 2000 to 100z,000 years, we obtained probable orbits and mass estimates. For ADS 497 and ADS 10329, the mass excesses in their systems are 1 and 3 M , respectively, relative to the masses expected from the mass­luminosity dependence. In three cases, for ADS 3593, ADS 14878, and ADS 16558, the obtained estimates of the combined component masses are 46, 25, and 7300 M , respectively, if the parallaxes are correct. A perturbation with amplitude 0.3 and period 40 yrs has been detected in the orbital motion of the system ADS 10759, possibly indicating the presence of an invisible satellite with a mass of the order of 0.4 M . The orientations of the orbits in the Galactic reference frame have been determined for all 12 binaries. The planes of most of the obtained orbits are steeply inclined to the plane of the Galaxy, as was noted in previous studies.
86 2 2009