The distribution of orbital eccentricities versus orbital period has now been studied for binaries of
several coeval samples. In all cases a common feature is observed, i.e., binaries with orbital
period shorter than a critical period, called the circularization period (
), have
circular orbits, while the wide binaries have significant orbital eccentricities. This common
feature of an
diagram is usually interpreted as evidence that tidal
interactions are driving the orbital evolution. Two distinct mechanisms are usually invoked
to explain orbital circularization. In the first one, the tidal-torque mechanism, viscosity
will make tides lag (or precede) the line joining the centers of the two components, and this
misalignment will generate a torque which will be responsible for the circularization of the orbit
(Zahn 1966; Zahn 1977). A key issue in describing tidal-torque interaction is the
treatment of the viscosity which has been subject to much discussion. It dictates how strong the
dissipative mechanisms are. In terms of
orbital period, for a given amount of time, the stronger the dissipative mechanisms are, the
longer will be the longest orbital period presenting circular orbit (i.e., the circularization
period as defined by Duquennoy et al. 1992). Zahn (1977) (see also
Zahn 1989; Goldman & Mazeh 1991) identifies the turbulent friction and the radiative
damping as being the main source of viscosity in late- and early-type stars, respectively.
The second mechanism, hydrodynamical mechanism, was suggested by Tassoul in a series of papers (see Tassoul 1995; Tassoul 2000 and references therein). It involves large-scale hydrodynamical flows within the non-synchronous tidally distorted component. Their existence is always required to satisfy the stress-free condition in the star surface. These flows will replace high angular velocity fluid by low angular velocity fluid, braking the star.
Regardless of the mechanism believed to act, the time required to circularize orbits,
,
up to a
critical period
will have the same functional relation
.
The choice of the
mechanism (and dissipation prescription for the tidal-torque mechanism) is reflected by the value
of
.
The relative sensitivity of
to stellar age motivated Mathieu & Mazeh
(1988) to propose that the observed circularization period for a coeval sample of binaries
could in fact be used as a clock to determine the age of galactic clusters. A different approach
was proposed by Zahn & Bouchet (1989). These authors, following the suggestion of Mayor &
Mermilliod (1984) that the circularization of the orbit would occur very fast during the
PMS phase, integrated the full set of equations governing the tidal evolution
for binary systems with masses ranging from 0.5 to 1.25
from the birth-line
up to 1010 years. They found that most of the orbital circularization occurs during the
pre-main sequence phase, primarily near the stellar birth-line. According to their results, the
circularization period set during the PMS phase is about 7-8.5 days, depending on stellar mass.
In addition, as no further
significant circularization occurs on the main-sequence, they concluded that
the circularization period for all
binary populations (age < 1010 years) should be equal to that established during the PMS
phase. Therefore, a determination of the circularization period for binary populations of different ages is needed to enable us to test both the different dissipation prescriptions and the effectiveness of the PMS tidal circularization.
While the circularization period is determined for some young cluster binary populations and for the two older binary populations of M 67 and of the Galactic Halo, for the PMS binaries Mathieu (1994) counted only 25 spectroscopic binaries with known orbital elements. These numbers have been increasing in the last years thanks to many WTTS found by the ROSAT X-ray all-sky survey in the nearby star-forming regions. The preliminary results of on-going spectroscopic monitoring surveys on these stars (Covino et al. 2001a) reveal that many of them are in fact spectroscopic binaries.
In this paper we present a new PMS binary system with orbital parameters that make it a crucial system for testing theory. We confront both Mathieu & Mazeh's and Zahn & Bouchet's hypothesis to the new available data on PMS spectroscopic binaries to review the problem of tidal interactions.
Copyright ESO 2001