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This short introduction to dispersive waves provides an important prerequisite for moving from the dynamics of individual particle orbits to the dynamics of collective effects. As such, the ideas summarized here have a large impact on this book, especially on Part III, in which they are seen at work in the description of density and bending waves. The basic concepts (waves, wave packets, wave trains, group propagation, etc.) define a framework that has found wide and successful applications in hydrodynamics, geophysical fluid dynamics, and plasma physics.
In contrast with the case of hyperbolic waves, for which the description is centered on the properties of one class of partial differential equations, the study of dispersive waves focuses on one characteristic property of the solutions of many different types of dynamical equations that is called the dispersion relation. This is a relation, very often of a rather trivial algebraic form, between space and time modulation of elementary components of the wave process. The relation incorporates the constraints set by the dynamical equations.
It is sometimes believed that the main goal of the dynamicist should be to derive the dispersion relation for a given process and for a given model; the derived expression then would mark the end of the investigation.
The problem of stability in the context of elliptical galaxies is completely different from the studies of stability described in Part III. For disks, there are several specific morphological properties, in particular, spiral structures, bars, warps, and corrugations, that we may match in terms of appropriate modes over more symmetric equilibrium configurations. In the case of elliptical galaxies, there are no outstanding morphological features to be addressed in a similar manner. Some features do exist, for example, isophotal twisting, shells, and peculiar kinematics, that might in principle be considered, but their three-dimensional (3D) spatial structure is not known, and it is not clear whether their origin can be traced to simple low-amplitude regular patterns. Linear stability analyses also would be of little use for addressing one obvious question related to the departures from spherical symmetry: What intrinsic shapes are realized? In fact, natural modes to be considered (and in some cases found to be unstable) are those with l= 2, but they are a degenerate class that includes oblate, prolate, and triaxial perturbations. Thus one general motivation at the basis of many modal analyses (see Chapter 9) is simply not present in the case of elliptical galaxies.
There remain two major physical reasons to carry out stability investigations. One is the need for a good knowledge of the intrinsic modes of a dynamical system as a prerequisite to the proper description of the driven problem (e.g., for the study of tidal interactions).
Normal galaxies have a variety of sizes and morphological categories. In this chapter their main empirically established structural characteristics are summarized schematically, and the problem of dark matter in the general cosmological context is briefly introduced. The problem of dark matter in galaxies will be better formulated in Chapter 5, among other broad issues addressed in this book, and will be discussed separately for spiral galaxies (Chapter 20) and for elliptical galaxies (Chapter 24) after the relevant dynamical tools have been properly developed.
Our world of galaxies is biased in favor of bright objects and against objects with low surface brightness. However, the tail of the galaxy luminosity function is widely populated by low-surface-brightness galaxies. We should thus be aware that our knowledge of the structure of galaxies and the discussion of the dynamics of normal galaxies that have been developed so far have focused mainly on bright galaxies; much remains to be done for fainter systems.
From astronomical observations, we ideally would wish to extract information on mass distributions and overall kinematics (mean flow motions and velocity dispersions). In practice, we must interpret images and spectroscopic information, gathered through various observational windows, and we must mediate the process by simplified models. Obviously, a major source of uncertainty is the a priori unknown three-dimensional structure of the object under investigation because the data give us quantities projected along the line of sight.
We have observed the bright, magnetically active multiple star AB Doradus in a multiwavelength campaign centring around two large facility allocations in November 2006 and January, 2007. Our observations have covered at least three large flares. These flares were observed to produce significant hardening of the X-ray spectra during their very initial stages. We monitored flare-related effects using the Suzaku X-ray satellite and the Australia Telescope Compact Array (ATCA) at 3.6 and 6 cm. Observations at 11 and 21 cm were also included, but they were compromised by interference. Optical monitoring was also provided by broadband B and V photometry and some high-dispersion spectrograms. From this multiwavelength coverage we find that the observed flare effects can be mainly associated with a large active region near longitude zero. The second major X-ray and microwave flare of Jan 8, 2007 was observed with a favourable geometry that allowed its initial high-energy impulsive phase to be observed in the higher frequency range of Suzaku’s XIS detectors. The fractional circular polarisation (Stokes V/I) was measured in the uv data for the complete runs, for 25 min integrations and, at 4.80 GHz, for 5 min integrations, using the radio data of Nov 21 2006 and Jan 08 2007. Most of the full data sets showed V/I fractions from AB Dor B that were significant at greater than the 3σ level. In several of the 5 min integrations at 4.80 and 8.64 GHz this fraction reached a significance level between 3 and 9σ. Lack of angular resolution prevented identification of these high V/I values with one or other of the two low-mass red-dwarf components of AB Dor B.
In Australia a significant number of women were employed to measure and compute the position of stars for the Astrographic Catalogue at Adelaide, Sydney, Melbourne and Perth Observatories. New archival research has provided evidence that the first women employed in astronomy in Australia were engaged due to this project.
This paper focuses on Mary Emma Greayer, who was employed as a computer at Adelaide Observatory from 1890, and Charlotte Emily Fforde Peel, employed as a star measurer, computer and astrographic assistant at Melbourne Observatory from 1898. The measurement bureaux at Melbourne, Perth and Sydney Observatories are examined within the context of women working on the Astrographic Catalogue in other observatories during the late nineteenth century.
Evidence is presented that individuals, such as Greayer and Peel, were vital to the completion of the Astrographic Catalogue and other astronomical work. Furthermore, it is argued that this evidence points to women having a broader role and greater agency within observatories in Australia and in astronomy than has previously been acknowledged.
We continue the study of O-supergiants belonging to the association Cyg OB2 using moderate-resolution spectra. In this paper we present results of the modelling of the stellar atmosphere of Cyg OB2 #11. This object belongs to the spectral class Ofc, which was recently introduced and is yet small in numbers. Ofc class consists of stars with normal spectra with CIII λλ4647, 4650, 4652 emission lines of comparable intensity to those of the Of-defining lines NIII λλ4634, 4640, 4642. We combined new spectral data obtained by the 1.5-m Russian–Turkish telescope with spectra from MAST and CASU archives and determined physical parameters of the wind and chemical composition of the stellar atmosphere using cmfgen code. The estimated nitrogen abundance is lower than one in atmospheres of ‘normal’ O-supergiants (i.e. O4-6 supergiants without additional spectral index ‘n’ or ‘c’) and carbon abundance is solar. Also we find an excess in silicon. We present an illustrative comparison of our modelling results with current Geneva evolutionary models for rotating massive stars. The position on the Hertzsprung–Russell diagram corresponds to the star mass of about 50 M⊙ and age about 4.5 Myr. Moreover, we carried out the high angular resolution (~ 0.02arcsec) observations on the Russian 6-m telescope aiming to find weaker companions of this star, which did not reveal any.
We describe the development of a noise-temperature testing capability for phased-array antennas operating in receive mode from 0.7 GHz to 1.8 GHz. Sampled voltages from each array port were recorded digitally as the zenith-pointing array under test was presented with three scenes: (1) a large microwave absorber at ambient temperature, (2) the unobstructed radio sky, and (3) broadband noise transmitted from a reference antenna centred over and pointed at the array under test. The recorded voltages were processed in software to calculate the beam equivalent noise temperature for a maximum signal-to-noise ratio beam steered at the zenith. We introduced the reference-antenna measurement to make noise measurements with reproducible, well-defined beams directed at the zenith and thereby at the centre of the absorber target. We applied a detailed model of cosmic and atmospheric contributions to the radio sky emission that we used as a noise-temperature reference. We also present a comprehensive analysis of measurement uncertainty including random and systematic effects. The key systematic effect was due to uncertainty in the beamformed antenna pattern and how efficiently it illuminates the absorber load. We achieved a combined uncertainty as low as 4 K for a 40 K measurement of beam equivalent noise temperature. The measurement and analysis techniques described in this paper were pursued to support noise-performance verification of prototype phased-array feeds for the Australian Square Kilometre Array Pathfinder telescope.
We provide a set of analytic fits to the radii of pre-mainsequence stars in the mass range 0.1 < M/M⊙ < 8.0. We incorporate the formulae in N-body cluster models for evolution from the beginning of pre-main sequence. In models with 1 000 stars and high initial cluster densities, pre-mainsequence evolution causes roughly twice the number of collisions between stars than in similar models with evolution begun only from the zero-age main sequence. The collisions are often all part of a runaway sequence that creates one relatively massive star.
I review the astrophysical insights arising from high-precision astrometric observations of X-ray binary systems, focussing primarily (but not exclusively) on recent results with very long baseline interferometry. Accurate, model-independent distances from geometric parallax measurements can help determine physical parameters of the host binary system and constrain black hole spins via broadband X-ray spectral modelling. Long-term proper motion studies, combined with binary evolution calculations, can provide observational constraints on the formation mechanism of black holes. Finally, the astrometric residuals from parallax and proper motion fits can provide information on orbital sizes and jet physics. I end by discussing prospects for future progress in this field.
Astrophysical cosmology constrains the variation of Newton’s Constant in a manner complementary to laboratory experiments, such as the celebrated lunar laser ranging campaign. Supernova cosmology is an example of the former and has attained campaign status, following planning by a Dark Energy Task Force in 2005. In this paper, we employ the full SNIa data set to the end of 2013 to set a limit on G variation. In our approach, we adopt the standard candle delineation of the redshift distance relation. We set an upper limit on its rate of change $|\dot{G}/G|$ of 0.1 parts per billion per year over 9 Gyrs. By contrast, lunar laser ranging tests variation of G over the last few decades. Conversely, one may adopt the laboratory result as a prior and constrain the effect of variable G in dark energy equation of state experiments to δw < 0.02. We also examine the parameterisation G ~ 1 + z. Its short expansion age conflicts with the measured values of the expansion rate and the density in a flat Universe. In conclusion, supernova cosmology complements other experiments in limiting G variation. An important caveat is that it rests on the assumption that the same mass of 56Ni is burned to create the standard candle regardless of redshift. These two quantities, f and G, where f is the Chandrasekhar mass fraction burned, are degenerate. Constraining f variation alone requires more understanding of the SNIa mechanism.
The transformation equations from BVRc to g′r′i′ magnitudes and vice versa for the giants were established from a sample of 80 stars collected from Soubiran et al. (2010) with confirmed surface gravity (2 ⩽ logg (cm s− 2) ⩽ 3) at effective temperatures 4000 < Teff(K) < 16000. The photometric observations, all sample stars at g′r′i′ and 65 of them at BVRc, were obtained at TÜBİTAK National Observatory (TUG) 1m (T100) telescope, on the Taurus Mountains in Turkey. The MV absolute magnitudes of the giant stars were estimated from the absolute magnitude-temperature data for the giant stars by Sung et al. (2013) using the Teff from the intrinsic colours considered in this study. The transformation equations could be considered to be valid through the ranges of the following magnitudes and colours involved: 7.10 < V0 < 14.50, 7.30 < g′0 < 14.85, − 0.20 < (B − V)0 < 1.41, − 0.11 < (V − Rc)0 < 0.73, − 0.42 < (g′ − r′)0 < 1.15, and − 0.37 < (r′ − i′)0 < 0.47 mag. The transformations were successfully applied to the synthetic BVRc data of 427 field giants in order to obtain the g′r′i′ magnitudes and colours. Comparisons of these data with the g′r′i′ observations of giants in this study show that the mean residuals and standard deviations lie within [− 0.010, 0.042] and [0.028, 0.068] mag, respectively.
We report on the results of a long time photometric monitoring of the two metal-poor Galactic globular clusters, M22 and IC4499, searching for long-period variables (LPVs) on the upper giant branch. We detected 22 new LPVs in the field of M22 and confirmed the variability of six known variables. Periods could be determined for 16 of them. In the field of IC4499 we detected and characterised two new LPVs. Cluster membership is evaluated for all the variables based on photometry and literature data, and the location of the stars in log P-K-diagram is discussed. Our findings give further support to the presence of LPVs at metallicities as low as [Fe/H] = −1.7. The luminosity range where LPVs are found in metal-poor clusters is lower than in more metal-rich clusters.
Surface photometry at 3.6 μm is presented for 61 low surface brightness (LSB) galaxies (μo<19 3.6 μm mag arcsecs−2). The sample covers a range of luminosity from −11 to −22 in M3.6 and size from 1 to 25 kpc. The morphologies in the mid-IR are comparable to those in the optical with 3.6 μm imaging reaches similar surface brightness depth as ground-based optical imaging. A majority of the resulting surface brightness profiles are single exponential in shape with very few displaying upward or downward breaks. The mean V − 3.6 colour of LSB is 2.3 with a standard deviation of 0.5. Colour-magnitude and two-colour diagrams are well matched to models of constant star formation, where the spread in colour is due to small changes in the star formation rate (SFR) over the last 0.5 Gyrs as also suggested by the specific SFR measured by Hα.
We investigated the space velocity components of 6 610 red clump (RC) stars in terms of vertical distance, Galactocentric radial distance and Galactic longitude. Stellar velocity vectors are corrected for differential rotation of the Galaxy which is taken into account using photometric distances of RC stars. The space velocity components estimated for the sample stars above and below the Galactic plane are compatible only for the space velocity component in the direction to the Galactic rotation of the thin disc stars. The space velocity component in the direction to the Galactic rotation (Vlsr) shows a smooth variation relative to the mean Galactocentric radial distance (Rm), while it attains its maximum at the Galactic plane. The space velocity components in the direction to the Galactic centre (Ulsr) and in the vertical direction (Wlsr) show almost flat distributions relative to Rm, with small changes in their trends at Rm ~ 7.5 kpc. Ulsr values estimated for the RC stars in quadrant 180° < l ⩽ 270° are larger than the ones in quadrants 0° < l ⩽ 90° and 270° < l ⩽ 360°. The smooth distribution of the space velocity dispersions reveals that the thin and thick discs are kinematically continuous components of the Galaxy. Based on the Wlsr space velocity components estimated in the quadrants 0° < l ⩽ 90° and 270° < l ⩽ 360°, in the inward direction relative to the Sun, we showed that RC stars above the Galactic plane move towards the North Galactic Pole, whereas those below the Galactic plane move in the opposite direction. In the case of quadrant 180° < l ⩽ 270°, their behaviour is different, i.e. the RC stars above and below the Galactic plane move towards the Galactic plane. We stated that the Galactic long bar is the probable origin of many, but not all, of the detected features.
Optical positions from the SuperCOSMOS Sky Survey have been compared in detail with accurate radio positions that define the second realisation of the International Celestial Reference Frame (ICRF2). The comparison was limited to the IIIaJ plates from the UK/AAO and Oschin (Palomar) Schmidt telescopes. A total of 1 373 ICRF2 sources was used, with the sample restricted to stellar objects brighter than BJ = 20 and Galactic latitudes |b| > 10°. Position differences showed an rms scatter of $0.16\text{ arcsec}$ in right ascension and declination. While overall systematic offsets were < $0.1\text{ arcsec}$ in each hemisphere, both the systematics and scatter were greater in the north.
One of the most important environments in which accretion disks are found occur in interacting binaries. In this chapter I review the main properties of binary systems and the most important types of binary interactions, stable and unstable mass transfer, the role of mass loss, mass accretion, and, in the most dramatic case, the merging of the two binary components. I particularly emphasize the evolutionary context in which these interactions occur and illustrate this using numerous examples of different types of binaries of current research interest. These include hot subdwarfs; symbiotic binaries; binary supernova progenitors, including the progenitors of type Ia supernovae and potential progenitors of long-duration gamma-ray bursts; low-, intermediate-, and high-mass X-ray binaries, containing both neutron stars and black holes; and their descendants, including binary millisecond pulsars, Thorne-Żytkow objects, and short-duration gamma-ray bursts.
2.1 Introduction
One of the main sites for accretion disks are interacting binary systems. Indeed, the majority of stars are found in binary systems, and in many cases (up to ~50%), they are close enough that mass flows from one star to the other, in many cases forming an accretion disk. This can happen for a wide variety of different systems: systems containing two normal nondegenerate stars, or one compact star (white dwarf [WD], neutron star [NS], or black hole [BH]), or even two compact stars of various combinations.
It was more than 50 years ago when the first significant paper on accretion flows was written. Since then, the subject has grown incredibly, and today many X-ray satellites are engaged in research into observational signatures and tests of theoretical models for accretion processes in astrophysics. Recognizing the continued importance of this field, the Instituto de Astrofísica de Canarias organized the XXIst in its Winter School series around the topic “Accretion Processes in Astrophysics.”
The primary aim of the school was to provide a wide-ranging and up-to-date overview of the theoretical, experimental, and analytical tools necessary for carrying out front-line research in the study of accretion processes. The school was particularly designed to offer young researchers guidelines to support their research in these areas.
The 40 lectures presented a fairly comprehensive and up-to-date introduction to the major observational and theoretical topics associated with accretion. With emphasis on the physical processes involved, this includes applications to close binary systems such as cataclysmic variables and X-ray binaries and their evolution, as well as the theory of relativistic accretion flows and the accretion processes in active galactic nuclei. The lectures were given by eight experienced scientists who are actively working on a variety of leading research projects and who have played key roles in the advances made in the field in recent years.
I'll begin this chapter with one of my favorite quotes about black holes:
Of all the conceptions of the human mind, from unicorns to gargoyles to the hydrogen bomb, the most fantastic, perhaps, is the black hole; a hole in space with a definite edge into which anything can fall and out of which nothing can escape; a hole with a gravitational force so strong that even light is caught and held in its grip; a hole that curves space and warps time. Like unicorns and gargoyles, black holes seem more at home in the realms of science fiction and ancient myth than in the real Universe. Nonetheless, well-tested laws of physics predict firmly that black holes exist.
(Thorne, 1994)
… and add that not only do the laws of physics predict that black holes exist, but a vast array of observational evidence points to their existence in a range of masses and environments, throughout the universe. Whether or not they really exist is debated by some and is hard to prove to the satisfaction of others, but there are clearly a vast number of objects (> 1016) in the observable universe that conform very closely to our concept of a black hole (i.e., high accretion efficiency but otherwise “dark,” no apparent surface, simple scaling of properties over a range ≥ 108 in mass). In this contribution to the XXI Canary Islands Winter School of Astrophysics, I focus on these objects, specifically on the observational consequences of accretion onto them, and the associated feedback to the surrounding environment.