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Neutron stars more than a few minutes old are uniformly rotating and satisfy to high accuracy the equation of state that describes cold neutron-star matter. As described in Chapter 5, their 2-dimensional family of equilibria is bounded by four curves: at low central density by a sequence of marginally stable configurations having minimum mass at constant angular momentum; at high density by a sequence of marginally stable configurations having maximum mass at constant angular momentum; by the sequence of nonrotating stars; and by the sequence of stars rotating at the Kepler (mass-shedding) limit on angular velocity. A nonaxisym-metric instability driven by gravitational radiation (the CFS instability) is likely to set an upper limit on rotation more stringent than the Kepler limit, drawing a more restrictive boundary at large rotation on the surface of stable equilibria.
Finding these bounding lines of marginal stability is a primary focus of work on the stability theory of relativistic stars. This chapter is devoted to a detailed presentation of this theory and several of its principal results. The presentation here is restricted to linear stability theory, to finding criteria for stability of first-order perturbations of an equilibrium. Numerical treatments of the nonlinear evolution of stable and unstable modes are discussed in Chapter 10.
The masses of neutron stars are limited by an instability to collapse, and an instability driven by gravitational waves may limit their spin. Their oscillations are relevant to X-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume pulls together more than 40 years of research to provide graduate students and researchers in astrophysics, gravitational physics, and astronomy with a self-contained treatment of the structure, stability, and oscillations of rotating relativistic stars. Numerical and analytic work are both essential to the subject, and their interplay is emphasized in our treatment.
The book is intended for more than one audience: Readers who need to work through mathematical details of stellar perturbations and stability theory will find them here, in derivations and proofs of principal results. More commonly, a reader working in relativistic astrophysics will want the principal results of the theory but will need only a few of the derivations. The text is also designed to provide a coherent treatment for this second audience, with an exposition of the results preceding the more mathematical derivations. Although our primary concern is with rotating stars, we begin our discussion of oscillations and stability with spherical stars for completeness and to make the presentation accessible to readers with no previous knowledge of relativistic perturbation theory.
The Newtonian approximation describes to extraordinarily high precision the gravitational field of low-mass stars over the course of their evolution, from the instability to collapse that triggers their formation to their death as white dwarfs. In a high-mass star, however, when the nuclear reactions that halted its initial collapse ultimately die out, the core's renewed collapse leads either to a star above nuclear density or to a black hole at whose center is a speck that, at least momentarily, is vastly beyond any known density. In both of these final states of stellar evolution, general relativity plays a fundamental role. The relativistic stars of nature have a complex composition, spanning fifteen orders of magnitude in density. Thought to consist primarily of a gas of neutrons with a gradually varying density of free protons, electrons, and muons, they are surrounded by a crust of ordinary matter, and their cores may hold hyperons, pion or kaon condensates, or possibly free quarks. In fact, our uncertainty about the behavior of matter above nuclear density is (in 2012) great enough to allow what we call neutron stars to be strange-quark stars, collections of up, down, and strange quarks surrounded by a thin normal crust. In the conventional neutron-star model, a much thicker, 1-km crust surrounds an interior in which neutrons and protons form a two-component superfluid.
In this well-illustrated text, Kenneth R. Lang explains the life cycle of stars, from the dense molecular clouds that are stellar nurseries to the enigmatic nebulae some stars leave behind in their violent ends. Free of mathematical equations and technical jargon, Lang's lively and accessible text provides physical insights into how stars such as our Sun are born, what fuels them and keeps them bright, how they evolve and the processes by which they eventually die. The book demonstrates the sheer scope and variety of stellar phenomena in the context of the universe as a whole. Boxed focus elements enhance and amplify the discussion for readers looking for more depth. Featuring more than 150 figures, including color plates, The Life and Death of Stars is a modern and up-to-date account of stars written for a broad audience, from armchair astronomers and popular science readers to students and teachers of science.
A student-active introduction to astronomy, emphasizing inquiry learning so students will clearly understand our universe and the scientific method. Within-text and end-of-chapter questions check understanding of concepts and require the student to think critically through astronomy-based problems. 'Nature of Science' and 'Detectives on the Case' sections in each chapter encourage students to take on the role of a scientist and so develop an understanding of how scientific progress is made, leading students through a chain of arguments of forming and testing hypotheses, in the context of specific astronomical topics. By focusing on key topics, the student is able to develop a deeper understanding of the core areas of astronomy. Math is used to make intuitive points and kept simple by using a two-track system to first describe the logic of the calculation followed by a more detailed example. Simple illustrations support the text and step students through concepts visually.
The Gaia satellite, planned for launch by the European Space Agency (ESA) in 2013, is the next-generation astrometry mission following Hipparcos. Gaia’s primary science goal is to determine the kinematics, chemical structure, and evolution of the Milky Way Galaxy. In addition to this core science goal, the Gaia space mission is expected to discover thousands of Solar System objects. Because of orbital constraints, Gaia will only have a limited opportunity for astrometric follow-up of these discoveries. In 2010, the Gaia Data Processing and Analysis Consortium (DPAC) initiated a program to identify ground-based optical telescopes for a Gaia follow-up network for Solar System Objects to perform the following critical tasks: confirmation of discovery, identification of body, object tracking to constrain orbits. To date, this network comprises 37 observing sites (representing 53 instruments). The Zadko Telescope, located in Western Australia, was highlighted as an important network node because of its southern location, longitude, and automated scheduling system. We describe the first follow-up tests using the fast moving Potentially Hazardous Asteroid 2005 YU55 as the target.
The Murchison Widefield Array (MWA) is one of three Square Kilometre Array Precursor telescopes and is located at the Murchison Radio-astronomy Observatory in the Murchison Shire of the mid-west of Western Australia, a location chosen for its extremely low levels of radio frequency interference. The MWA operates at low radio frequencies, 80–300 MHz, with a processed bandwidth of 30.72 MHz for both linear polarisations, and consists of 128 aperture arrays (known as tiles) distributed over a ~3-km diameter area. Novel hybrid hardware/software correlation and a real-time imaging and calibration systems comprise the MWA signal processing backend. In this paper, the as-built MWA is described both at a system and sub-system level, the expected performance of the array is presented, and the science goals of the instrument are summarised.
We present a study on characterising the light curves of W UMa-type systems gathered from the archive containing 5 years of data observed with the Robotic Optical Transient Search Experiment Telescope (ROTSE-IIId) located in Turkey. A sample of 45 W UMa-type systems was studied on the basis of Fourier decomposition of light curves and some basic geometrical parameters, namely degree of contact (f), mass ratio (q), and orbital inclination (i), as approximated values for these systems were determined. Moreover, methods based on the Fourier transform technique were applied to the discrete data to determine the orbital periods of those systems. Preliminary estimates for the system parameters were presented and compared with the values available in the literature.
It is an indisputable fact that solar magnetic fields are force-free in the corona, where force-free fields mean that current and magnetic fields are parallel and there is no Lorentz force in the fields. While the force-free extent of photospheric magnetic fields remains open, in this paper, we give its statistical results. Vector magnetograms (namely, Bx, By, and Bz in heliocentric coordinates) employed are observed by the Solar Magnetic Field Telescope at Huairou Solar Observing Station. We study and calibrate 925 magnetograms calibrated by two sets of calibration coefficients, which indicate the relation between magnetic fields and the strength of the Stokes spectrum and can be calculated either theoretically or empirically. The statistical results show that the majority of active region magnetic fields are not consistent with the force-free model.
Fixes are presented to be applied to the Véron-Cetty and Véron Quasar Catalogue, 13th edition. These are comprised of 39 de-duplications, 380 astrometric moves of 8 + arcsec of which 31 are over 10 arcmin, and 30 indicated de-listings.
A ‘pulsar timing array’ (PTA), in which observations of a large sample of pulsars spread across the celestial sphere are combined, allows investigation of ‘global’ phenomena such as a background of gravitational waves or instabilities in atomic timescales that produce correlated timing residuals in the pulsars of the array. The Parkes Pulsar Timing Array (PPTA) is an implementation of the PTA concept based on observations with the Parkes 64-m radio telescope. A sample of 20 ms pulsars is being observed at three radio-frequency bands, 50 cm (~700 MHz), 20 cm (~1400 MHz), and 10 cm (~3100 MHz), with observations at intervals of two to three weeks. Regular observations commenced in early 2005. This paper describes the systems used for the PPTA observations and data processing, including calibration and timing analysis. The strategy behind the choice of pulsars, observing parameters, and analysis methods is discussed. Results are presented for PPTA data in the three bands taken between 2005 March and 2011 March. For 10 of the 20 pulsars, rms timing residuals are less than 1 μs for the best band after fitting for pulse frequency and its first time derivative. Significant ‘red’ timing noise is detected in about half of the sample. We discuss the implications of these results on future projects including the International Pulsar Timing Array and a PTA based on the Square Kilometre Array. We also present an ‘extended PPTA’ data set that combines PPTA data with earlier Parkes timing data for these pulsars.
A survey of the Milky Way disk and the Magellanic System at the wavelengths of the 21-cm atomic hydrogen (H i) line and three 18-cm lines of the OH molecule will be carried out with the Australian Square Kilometre Array Pathfinder telescope. The survey will study the distribution of H i emission and absorption with unprecedented angular and velocity resolution, as well as molecular line thermal emission, absorption, and maser lines. The area to be covered includes the Galactic plane (|b| < 10°) at all declinations south of δ = +40°, spanning longitudes 167° through 360°to 79° at b = 0°, plus the entire area of the Magellanic Stream and Clouds, a total of 13 020 deg2. The brightness temperature sensitivity will be very good, typically σT≃ 1 K at resolution 30 arcsec and 1 km s−1. The survey has a wide spectrum of scientific goals, from studies of galaxy evolution to star formation, with particular contributions to understanding stellar wind kinematics, the thermal phases of the interstellar medium, the interaction between gas in the disk and halo, and the dynamical and thermal states of gas at various positions along the Magellanic Stream.