A Definitive Orbit for the Visual Binary ADS 8630 = gamma Virginis
Gamma Virginis (Sigma 1670 = ADS 8630) is one of the first binary stars discovered in history. The first measurement of the relative positions of its components goes back to March 1718 by Bradley and Pound, but accurate measurements started only with F. G. W Struve in 1820. Since then, this binary was intensively followed by the observers so much that the Washington Double Star (WDS) Catalogue contained 1515 mean measures of its position angle and separation (version of February 2006). However, despite all those efforts, and the several tentative orbits derived from those data, the position-angle ephemerides computed on the basis of the latest orbit (Söderhjelm, S., 1999, A&A, 341, 121 failed to represent the position angles observed during the periastron passage in mid-2005. This was due to the fact that the period of revolution (estimated between 130 and 200 years) was insufficiently known, both because of the large eccentricity of the orbit (e > 0.88) and the fact that the first observed periastron passage in 1836 was poorly followed because of the lack of adequate telescopic power. To solve this problem, gamma Virginis was regularly observed at the INAF - Osservatorio Astronomico di Brera in Merate between 2004 and 2006. The observations were performed with the Pupil Interferometry Speckle camera and COronograph (PISCO) placed at the Cassegrain focus of the 102cm Zeiss telescope.
By combining 35 speckle measurements made in Merate
with all the data available in the WDS Catalogue plus other three
recent visual
observations, for a total of 1553 measurements, a new orbit was
computed, allowing to
represent all the observed positions angles and separations with low
residuals.
The elements of such an
orbit, with related errors, are printed in Table 1, where Omega
is the
position angle of the ascending node, omega the longitude of
periastron, i the inclination of
the orbit relative to the plane of the sky, e the eccentricity,
T
the epoch of the last periastron passage, P the period of
revolution,
and a the semi-mayor axis in arcseconds. The apparent orbit is
shown in Fig. 1, with an expanded view in Fig. 2. This last figure
shows the importance of the 2004-2006 PISCO
observations for determining the orbital elements: they cover an arc of
130°
around the periastron.
New orbital elements for gamma Virginis
Omega (2000) (°) |
omega
(°) |
i (°) |
e |
T (yr) |
P (yr) |
a (") |
35.36 |
255.03 |
149.41 |
0.8815 |
2005.509 |
169.101 |
3.641 |
± 0.41 |
± 0.37 |
± 0.16 |
±
0.00018 |
± 0.0019 |
± 0.011 |
± 0.008 |
Fig. 1 - Left panel: the new apparent orbit of gamma Virginis with all the observations utilized for the orbit computation.
Fig. 2 - Right panel: enlarged view of Fig. 1 near the
periastron; note that the new orbit fits closely the observations of
PISCO.
Using the Hipparcos parallax
of 0.08453" ± 0.00118" (ESA, 1997, The Hipparcos and Tycho Catalogues,
ESA SP-1200), the
semi-major axis turns out to be 43.1 AU , and the total masse of the
system Mstar-A
+ Mstar-B = 2.8 MSun with an error of 4.2%, which
is
consistent with the F0V spectral class of the two components.
The ephemeris for the years 2006-2015 is given
in Table 2, where the Epoch is in Besselian Years and rho
and theta are the predicted separation and position angle,
respectively.
New ephemeris of gamma Virginis
Epoch |
2006.0 |
2007.0 |
2008.0 |
2009.0 |
2010.0 |
2011.0 |
2012.0 |
2013.0 |
2014.0 |
2015.0 |
rho (“) |
0.409 |
0.656 |
0.925 |
1.170 |
1.390 |
1.592 |
1.779 |
1.952 |
2.116 |
2.270 |
theta (°) |
104.3 |
60.1 |
41.3 |
30.7 |
23.7 |
18.5 |
14.4 |
11.2 |
8.4 |
6.0 |
The possibility of the
presence of a third star in the
system, that was proposed by other authors, was also investigated. To
this end,
high-angular resolution infrared images of gamma Virginis were obtained
on June 5th 2006 with the LuckyCam
instrument on the 3.6m ESO New Technology Telescope (NTT) at La Silla
Observatory, Chile. The images (Fig. 3) do not show any companion as
faint as a
M0V star at a distance larger than 0.4". This result, combined with the
analysis of the residuals of the new orbit, the values found for the
masses of
the individual components (1.4 MSun with an error of 3%) and
the
published radial velocity measurements, allows to rule out the presence
in the
system of a third companion with a masse larger than 0.3 MSun.
Fig. 3: An SDSS
i-band image of gamma Virginis A and obtained with the LuckyCam on the
3.6m ESO NTT on June 5th 2006, when the angular separation
was 0.5".
The image is a composite construction using the best 20% of 10,000
short
exposure images for an effective exposure time of ~40 sec. Unsharp
masking has
been applied to facilitate the detection of faint companions. No third
star is
visible in the 14.6" X 5.7" field, and a lower limit for the magnitude
of this
companion in the SDSS i-band (used for the Sloan Digital Sky Survey,
close to
the I band) is estimated to be mi
~ 7 at 0.4" from the primary.
A detailed
paper presenting those results was submitted in August 11th 2006 and
published in Astronomische Nachrichten (Scardia et al., 2007, Astron.
Nachr. 328, 2, 146--153). A
shorter version was presented as a poster at the
IAU Symposium 240 held
in Prague between 22 and 25 August 2006, and should be published in the
Proceedings.
The present work was made by:
Marco
Scardia, INAF- Osservatorio Astronomico di Brera, Merate, Italy,
Robert
W. Argyle, Institute of Astronomy, Cambridge, UK,
Jean-Louis Prieur, UMR 5572
d'Astrophysique- Observatoire Midi-Pyrénées, Toulouse,
France,
Luigi
Pansecchi,
- INAF-
Osservatorio
Astronomico di Brera, Merate, Italy,
Stefano
Basso, -
INAF- Osservatorio
Astronomico di Brera, Merate, Italy,
Nicholas
M. Law, - Institute of Astronomy, Cambridge, UK,
Craig
D. Mackay, - Institute of Astronomy, Cambridge, UK.