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C. Dettbarn

Publications and source records attributed to C. Dettbarn.

14 recordsLinked to original sources
arXiv2015

The local stellar luminosity function and mass-to-light ratio in the NIR

A new sample of stars, representative of the solar neighbourhood luminosity function, is constructed from the Hipparcos catalogue and the Fifth Catalogue of Nearby Stars. We have cross-matched to sources in the 2MASS catalogue so that for all stars individually determined Near Infrared photometry (NIR) is available on a homogeneous system (typically K_s). The spatial completeness of the sample has been carefully determined by statistical methods, and the NIR luminosity function of the stars has been derived by direct star counts. We find a local volume luminosity of 0.121 +/- 0.004 L_K_sun/(pc**3), corresponding to a volumetric mass-to-light ratio of M/L_K = 0.31 +/- 0.02 M_sun/L_K_sun, where giants contribute 80 per cent to the light but less than 2 per cent to the stellar mass. We derive the surface brightness of the solar cylinder with the help of a vertical disc model. We find a surface brightness of 99 L_K_sun/(pc**2) with an uncertainty of approximately 10 %. This corresponds to a mass-to-light ratio for the solar cylinder of M/L_K = 0.34 M_sun/L_K_sun. The mass-to-light ratio for the solar cylinder is only 10% larger than the local value despite the fact that the local population has a much larger contribution of young stars. It turns out that the effective scale heights of the lower main sequence carrying most of the mass is similar to that of the giants, which are dominating the NIR light. The corresponding colour for the solar cylinder is V-K=2.89 mag compared to the local value of V-K = 2.46 mag. An extrapolation of the local surface brightness to the whole Milky Way yields a total luminosity of M_K = -24.2 mag. The Milky Way falls in the range of K band Tully-Fisher (TF) relations from the literature.

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arXiv2009

The kinematics of late type stars in the solar cylinder studied with SDSS data

We study the velocity distribution of Milky Way disk stars in a kiloparsec-sized region around the Sun, based on ~ 2 million M-type stars from DR7 of SDSS, which have newly re-calibrated absolute proper motions from combining SDSS positions with the USNO-B catalogue. We estimate photometric distances to all stars, accurate to ~ 20 %, and combine them with the proper motions to derive tangential velocities for this kinematically unbiased sample of stars. Based on a statistical de-projection method we then derive the vertical profiles (to heights of Z = 800 pc above the disk plane) for the first and second moments of the three dimensional stellar velocity distribution. We find that = -7 +/- 1 km/s and = -9 +/- 1 km/s, independent of height above the mid-plane, reflecting the Sun's motion with respect to the local standard of rest. In contrast, changes distinctly from -20 +/- 2 km/s in the mid-plane to = -32 km/s at Z = 800 pc, reflecting an asymmetric drift of the stellar mean velocity that increases with height. All three components of the M-star velocity dispersion show a strong linear rise away from the mid-plane, most notably σ_{ZZ}, which grows from 18 km/s (Z = 0) to 40 km/s (at Z = 800 pc). We determine the orientation of the velocity ellipsoid, and find a significant vertex deviation of 20 to 25 degrees, which decreases only slightly to heights of Z = 800 pc. Away from the mid-plane, our sample exhibits a remarkably large tilt of the velocity ellipsoid towards the Galactic plane, which reaches 20 deg. at Z = 800 pc and which is not easily explained. Finally, we determine the ratio σ^2_{ϕϕ}/σ^2_{RR} near the mid-plane, which in the epicyclic approximation implies an almost perfectly flat rotation curve at the Solar radius.

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arXiv2007

Signatures of star streams in the phase space distribution of nearby halo stars

We have analyzed the phase space distribution of a sample of about 900 non--kinematically selected low metallicity stars in the solar vicinity. The stars primarily represent the thick disk and halo populations of the Milky Way. We aim to identify overdensely populated regions in phase space, which we interpret as signatures of star streams passing close to the Sun. The search was conducted in a space constructed from the angular momenta and eccentricities of the stellar orbits. Besides recovering all well known star streams in the thick disk, we isolated four statistically significant phase space overdensities amongst halo stars. One of them is associated with a previously known halo star stream, but three of them are novel features, which we propose be also considered as genuine halo streams.

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arXiv2006

The search for the origin of the Local Bubble redivivus

We present a new unbiased search and analysis of all B stars in the solar neighbourhood (within a volume of 400 pc diameter) using the Arivel data base to track down the remains of the OB associations, which hosted the supernovae responsible for the Local Bubble in the interstellar gas. We find after careful dereddening and by comparison with theoretical isochrones, that besides the Upper Scorpius the Upper Centaurus Lupus and Lower Centaurus Crux subgroups are the youngest stellar associations in the solar neighbourhood with ages of 20 to 30 Myr, in agreement with previous work. In search for the ``smoking gun'' of the origin of the Local Bubble, we have traced the paths of the associations back into the past and found that they entered the present bubble region 10 to 15 Myr ago. We argue that the Local Bubble began to form then and estimate that 14 to 20 supernovae have gone off since. It is shown that the implied energy input is sufficient to excavate a bubble of the presently observed size.

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arXiv2005

Density waves in the shearing sheet V. Feedback cycle for swing amplification by non-linear effects

Non-linear effects in the dynamical evolution of a shearing sheet made of stars are studied. First the implications of hitherto neglected non-linearities of the Boltzmann equation for the dynamical evolution of the shearing sheet are investigated. Using a formalism developed previously on the basis of the linearized Boltzmann equation it is demonstrated that the inclusion of the non-linear term leads to a feedback cycle for swing amplified density waves in the unbounded shearing sheet. Such a feedback is unique to star disks and is not known for gas disks. In order to present concrete examples of the non-linear feedback cycle a SCF code was developed and numerical simulations of the dynamical evolution of the shearing sheet are performed. The numerical results seem to confirm the theoretical predictions. The evolution of the shearing sheet resembles closely and might actually explain the recurrent spiral instabilities found in large-scale numerical simulations of the dynamical evolution of galactic disks.

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arXiv2000

The combination of ground-based astrometric compilation catalogues with the HIPPARCOS Catalogue. II. Long-term predictions and short-term predictions

The combination of ground-based astrometric compilation catalogues, such as the FK5 or the GC, with the results of the ESA Astrometric Satellite HIPPARCOS produces for many thousands of stars proper motions which are significantly more accurate than the proper motions derived from the HIPPARCOS observations alone. In Paper I (Wielen et al. 1999, A&A 347, 1046) we have presented a method of combination for single stars (SI mode). The present Paper II derives a combination method which is appropriate for an ensemble of 'apparently single-stars' which contains undetected astrometric binaries. In this case the quasi-instantaneously measured HIPPARCOS proper motions and positions are affected by 'cosmic errors', caused by the orbital motions of the photo-centers of the undetected binaries with respect to their center-of-mass. In contrast, the ground-based data are 'mean values' obtained from a long period of observation. We derive a linear 'long-term prediction' (LTP mode) for epochs far from the HIPPARCOS epoch T_H ~ 1991.25, and a linear 'short-term prediction' (STP mode) for epochs close to T_H. The most accurate prediction for a position at an arbitrary epoch is provided by a smooth, non-linear transition from the STP solution to the LTP solution. We present an example for the application of our method, and we discuss the error budget of our method for the FK6 (a combination of the FK5 with HIPPARCOS) and for the combination catalog GC+HIP. For the basic fundamental stars, the accuracy of the FK6 proper motions in the LTP mode is better than that of the HIPPARCOS proper motions (taking here the cosmic errors into account) by a factor of more than 4.

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arXiv2000

Absolute Proper Motions of Open Clusters: I. Observational data

Mean proper motions and parallaxes of 205 open clusters were determined from their member stars found in the Hipparcos Catalogue. 360 clusters were searched for possible members, excluding nearby clusters with distances D < 200 pc. Members were selected using ground based information (photometry, radial velocity, proper motion, distance from the cluster centre) and information provided by Hipparcos (proper motion, parallax). Altogether 630 certain and 100 possible members were found. A comparison of the Hipparcos parallaxes with photometric distances of open clusters shows good agreement. The Hipparcos data confirm or reject the membership of several Cepheids in the studied clusters.

astro-ph↗
arXiv2000

Polaris: astrometric orbit, position, and proper motion

We derive the astrometric orbit of the photo-center of the close pair alpha UMi AP (=alpha UMi Aa) of the Polaris multiple stellar system. The orbit is based on the spectroscopic orbit of the Cepheid alpha UMi A (orbital period of AP: 29.59 years), and on the difference Delta mu between the quasi-instantaneously measured HIPPARCOS proper motion of Polaris and the long-term-averaged proper motion given by the FK5. There remains an ambiguity in the inclination i of the orbit, since Delta mu cannot distinguish between a prograde orbit (i=50.1 deg) and a retrograde one (i=130.2 deg). Available photographic observations of Polaris favour strongly the retrograde orbit. For the semi-major axis of the photo-center of AP we find about 29 milliarcsec (mas). For the component P, we estimate a mass of 1.5 solar masses and a magnitude difference with respect to the Cepheid of 6.5 mag. The present separation between A and P should be about 160 mas. We obtain the proper motion of the center-of-mass of alpha UMi AP with a mean error of about 0.45 mas/year. Using the derived astrometric orbit, we find the position of the center-of-mass at the epoch 1991.31 with an accuracy of about 3.0 mas. Our ephemerides for the orbital correction, required for going from the position of the center-of-mass to the instantaneous position of the photo-center of AP at an arbitrary epoch, have a typical uncertainty of 5 mas. For epochs which differ from the HIPPARCOS epoch by more than a few years, a prediction for the actual position of Polaris based on our results should be significantly more accurate than using the HIPPARCOS data in a linear prediction, since the HIPPARCOS proper motion contains the instantaneous orbital motion of about 4.9 mas/year = 3.1 km/s. Finally we derive the galactic space motion of Polaris.

astro-ph↗
arXiv1999

The combination of ground-based astrometric compilation catalogues with the HIPPARCOS Catalogue I. Single-star mode

The combination of ground-based astrometric compilation catalogues, such as the FK5 or the GC, with the results of the ESA Astrometric Satellite HIPPARCOS produces for many thousands of stars proper motions which are significantly more accurate than the proper motions derived from the HIPPARCOS observations alone. In the combination of the basic FK5 with the HIPPARCOS Catalogue (i.e., in the FK6), the gain in accuracy is about a factor of two for the proper motions of single stars. The use of the GC still improves the accuracy of the proper motions by a factor of about 1.2. We derive and describe in detail how to combine a ground-based compilation catalogue with HIPPARCOS. Our analytic approach is helpful for understanding the principles of the combination method. In real applications we use a numerical approach which avoids some (minor) approximations made in the analytic approach. We give a numerical example of our combination method and present an overall error budget for the combination of the ground-based data for the basic FK5 stars and for the GC stars with the HIPPARCOS observations. In the present paper we describe the 'single-star mode' of our combination method. This mode is appropriate for truly single stars or for stars which can be treated like single stars. The specific handling of binaries will be discussed in subsequent papers.

astro-ph↗
arXiv1999

Indications on the binary nature of individual stars derived from a comparison of their HIPPARCOS proper motions with ground-based data I. Basic principles

We present a method which provides some information on the possible binary nature on an appararently single star. The method compares the instantaneously measured HIPPARCOS proper motion with the long-term averaged, ground-based proper motion or with the proper motion derived from old ground-based positions and the HIPPARCOS position. Good sources for such ground based data are the FK5 and the GC. If the proper-motion difference Delta-mu is statistically significant with respect to its measuring error, the object is very probably a double star. We call then the object a 'delta-mu binary'. If the proper-motion difference is insignificant and if no other information on a binary nature of the object is available, we call such a star a 'single-star candidate'. We propose a quantitative test for the significance of the observed proper-motion difference. The sensitivity of our method is high: For nearby stars at a distance of 10 pc, the measuring accuracy of the proper-motion difference, expressed as a velocity, is of the order of 50 m/s (basic FK5 stars) or 80 m/s (GC stars). At 100 pc, the mean error of the two-dimensional difference is still 0.5 km/s or 0.8 km/s. For the FK5 stars, we provide indications on the probable period of the delta-mu binaries. If we adopt an orbital period and a mass-luminosity relation, we can use the observed velocity difference to estimate the separation and the magnitude difference between the two components of the binary. The present paper concentrates mainly on the basic principles of the method, but it provides also a few examples of delta-mu binaries and of single-star candidates for illustration: Gamma UMa, Epsilon Eri, Iota Vir, 47 UMa, Delta Pav.

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arXiv1998

A Comparison of ground-based Cepheid P-L Relations with HIPPARCOS Parallaxes

The statistical test described by Wielen et al.(1994) is used to derive new zero-points of ground-based Cepheid period-luminosity (PL) and period-luminosity-colour (PLC) relations. Eleven relations are compared with the Hipparcos data. Our results argue for a typical increase of the adopted distance scale by about 8% +- 8%. Our zero-point for the PL relation of Caldwell & Laney (1991) is in agreement with that of Feast & Catchpole (1997).

astro-ph↗
arXiv1998

The Combination of HIPPARCOS Data with Ground-Based Astrometric Measurements

The combination of HIPPARCOS measurements with suitable ground-based astrometric data improves significantly the accuracy of the proper motions of bright stars. The comparison of both types of data allows us also to identify and to eliminate, at least partially, cosmic errors in the quasi-instantaneously measured HIPPARCOS data which are caused by undetected astrometric binaries. We describe a simple averaging method for the combination of two independent compilation catalogues. The combination of the basic FK5 with HIPPARCOS leads to the Sixth Catalogue of Fundamental Stars (FK6). The accuracy of the FK6 proper motions is higher than that of HIPPARCOS by a factor of about 2 in the single-star mode, and by a factor of more than 4 in the long-term prediction mode which takes cosmic errors into account. We present also the error budget for a combination of the Boss General Catalogue (GC) with HIPPARCOS data. We point out problems with known binaries, and identify an ensemble of 'astrometrically excellent stars'.

astro-ph↗
arXiv1998

The Sixth Catalogue of Fundamental Stars (FK6) and the Problem of Double Stars

The Sixth Catalogue of Fundamental Stars (FK6) combines the ground-based astrometric data of the basic fundamental stars, obtained over more than two centuries and summarized in the FK5, with the observations of the HIPPARCOS astrometry satellite. This combination provides the most accurate proper motions available at present. There are two main reasons why the ground-based observations are able to improve the HIPPARCOS proper motions considerably: (1) The lower positional accuracy of the ground-based observations is compensated by a much longer period of observations, covering more than 200 years for most FK6 stars; (2) Due to undetected astrometric binaries, the HIPPARCOS proper motions, measured 'instantaneously' during a period of about 3 years only, can deviate significantly from the long-term proper motions, while the ground-based results of the FK5 provide already fairly 'time- averaged' data. Hence the ground-based results allow to identify and to correct, at least partially, 'cosmic errors' in the HIPPARCOS proper motions. The proper motions of the FK6, and hence the positions predicted from the FK6 data, are significantly more accurate than the data given in the HIPPARCOS Catalogue and in the FK5. For truly single stars, the accuracy is improved by a factor of about 2 by the FK6. For the ensemble of apparently single stars, in which the HIPPARCOS proper motions suffer from cosmic errors due to undetected astrometric binaries, the gain is even higher, by a factor of more than 4. Double stars pose special problems which are handled rather individually in the FK6. Among all the FK6 stars, a subset of 'astrometrically excellent stars' is identified for high-precision astrometry, avoiding as far as possible a disturbing binary nature of the objects.

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