Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.

This book gathers selected and expanded contributions presented at the 4th Symposium on Space Optical Instruments and Applications, which was held in Delft, the Netherlands, on October 16-18, 2017. This conference series is organized by the Sino-Holland Space Optical Instruments Laboratory, a cooperative platform between China and the Netherlands. The symposium focused on key technological problems regarding optical instruments and their applications in a space context. It covered the latest developments, experiments and results on the theory, instrumentation and applications of space optics. The book is split into five main sections: The first covers optical remote sensing system design, the second focuses on advanced optical system design, and the third addresses remote sensor calibration and measurement. Remote sensing data processing and information extraction are then presented, followed by a final section on remote sensing data applications.

The study of the fine structure of solar radio emissions is key to understanding plasma processes in the solar corona. It remains a reliable means for both diagnosing the corona and verifying the results of laboratory plasma experiments on wave-wave and wave-particle interactions. This monograph provides a comprehensive review of the fine structure of solar radio bursts. Based on the diversity of experimental data resulting from the progress made in observational techniques, the validity of various theoretical models is reexamined. The book serves as an up-to-date reference work for all researchers in this field.

This volume contains the fifteenth tri-annual reports of the Presidents of the forty Commissions of the International Astronomical Union; it refers to the progress in our discipline during the three years 1970, 1971 and 1972. As compared to earlier volumes a gradual change in character is unmistakable. The ever increasing flow of publications, combined with the obvious necessity to keep the Reports at a reasonable size and price level has gradually forced the Commission Presidents to be more selective than before in drafting their Reports. I have certainly stimulated them into that direction - in order that Reports like these be valuable and lasting, it seems imperative that the individual contributions have the character of a critical overall review, where a fairly complete summary is given of the major develop ments and discoveries of the past three years, and in which the broad developments and new trends be clearly outlined, while at the same time essential problems for future research are identified. With respect to the latter item I have suggested the Commission Presidents to add to their reports a brief section on scientific priorities for future research in the field of their Commissions. In order to save space I have suggested to Commission Presidents that references to published papers are given on the basis of their number in the published issues of Astronomy and Astrophysics Abstracts. For instance, the indication (06. 078. 019) or (AAA 06. 078."

ROSAT Observations G. HASINGER Max-Planck-Institut flir extraterrestrische Physik, D-85740 Garching, Germany Abstract. This review describes the most recent advances in the study of the extragalactic soft X-ray background and what we can learn about its constituents. The deepest pointed observations with the ROSAT PSPC are discussed. The logN-logS relation is presented, which reaches to the faintest X-ray fluxes and to the highest AGN surface densities ever achieved. The N(>S) relation shows a 2 density in excess of 400 deg- at the faintest fluxes and a flattening below the Einstein Deep Survey limit. About 60% of the extragalactic background has been resolved in the deepest field. Detailed source spectra and first optical and radio identifications will be discussed. The results are put into perspective of the higher energy X -ray background. Key words: X-rays, background radiations, active galactic nuclei. 1. Introduction The extragalactic X-ray background (XRB), discovered about 30 years ago, has been studied extensively with many X-ray experiments, in particular with the satel lites HEAO I and II (see ego Boldt 1987) and with ROSAT (e. g. Hasinger et aI. , 1993). Figure 1 shows a compilation of some of the most recent spectral measure ments for the X-ray background. Over the energy range from 3 to about 100 keY its spectrum can be well approximated by an optically thin thermal bremsstrahlung model with kT ~ 40 keY, while at lower X-ray energies a steepening into a new component has been observed observed (e. g.

Bad Hofgastein who made the very successful Salzburger Abend with indi- nous music from Salzburg possible. Special thanks also to the former director of the Institute of Astronomy in Vienna, Prof. Paul Jackson for his generous private donation. We should not forget our hosts Mr. and Mrs. Winkler and their employees from the hotel who made the stay quite enjoyable. None of us will forget the very last evening, when the staff of kitchen under the le- ership of the cook himself came to offer us as farewell the famous Salzburger Nockerln, a traditional Austrian dessert. Everyone got a lot of scienti?c input during the lectures and the discussions and, to summarize, we all had a spl- did week in Salzburg in the Hotel Winkler. We all hope to come again in 2008 to discuss new results and new perspectives on a high level scienti?c standard in the Gasteinertal. Rudolf Dvorak and Sylvio Ferraz-Mello Celestial Mechanics and Dynamical Astronomy (2005) 92:1-18 (c) Springer 2005 DOI 10. 1007/s10569-005-3314-7 FROM ASTROMETRY TO CELESTIAL MECHANICS: ORBIT DETERMINATION WITH VERY SHORT ARCS (Heinrich K. Eichhorn Memorial Lecture) 1 2 ? ' ANDREA MILANI and ZORAN KNEZEVIC 1 Department of Mathematics, University of Pisa, via Buonarroti 2, 56127 Pisa, Italy, e-mail: milani@dm. unipi. it 2 Astronomical Observatory, Volgina 7, 11160 Belgrade 74, Serbia and Montenegro, e-mail: zoran@aob. bg. ac.

The words of this preface were written when the book was ready to go to the press; and are limited to only a few points which are best made in this place. As is intimated by the sub-title, the whole volume was written with appli cations in mind to double-star astronomy. The latter is, however, not the only branch of our science which could benefit from its contents. The same is true of certain aspects of the dynamics of stellar systems or galaxies (the stellar popula tions of which are also characterized by the fact that the mean-free-path of their constituent stars are long in comparison with the dimensions of the respective systems); the central condensations of which are high enough to approximate the gravitational action of a "mass-point." This fact did not, to be sure, escape the attention of previous investigators (in the case of globular clusters, in particular, the Roche model was introduced in their studies under the guise of polytropic models characterized by the index n = 5); though no particular attention will be paid to these in this book. But possible applications of the Roche model are not limited to problems arising in stellar astrophysics. With Coulomb forces replacing gravitation, the equilibrium model finds a close analogy in the field of electrostatics-as was pointed out already at the beginning of this century by (then young) J. H. Jeans (cf."

How planets form is one of the long-standing questions in astrophysics. In particular, formation scenarios of planetesimals which are kilometer-sized bodies and a precursor of planets are still unclear and under debate although some promising mechanisms have been proposed. This book highlight disk instabilities that have the potential to explain the origin of planetesimals. Using linear analyses and numerical simulations, it addresses how a disk evolves through the development of instabilities, and also presents a new instability driven by dust coagulation. As a result, the simulation demonstrates a scenario of planetesimal formation: A successive development of multiple instabilities triggers planetesimal formation in resulting dusty rings.

Hidden from human view, accessible only to sensitive receivers attached to huge radio telescopes, giant versions of backyard satellite dishes, the invisible universe beyond our senses continues to fascinate and intrigue our imaginations. We cannot really comprehend what it means to say that a galaxy is exploding, yet that is the nature of some of the distant radio sources in the furthest reaches of space. Closer to home, in the Milky Way galaxy, radio astronomers listen patiently to the ticking of pulsars that tell of star death and states of matter of awesome densities. And between the stars, radio emission from a host of over 120 complex molecules radiate outward to reveal a tale about chemical processes that produce the very stuff of life. And all of this happens out there in the universe hidden from our eyes, even when aided by the Hubble Space Telescope. This is the story of radio astronomy, of how radio waves are generated by stars, supernova, quasars, colliding galaxies, and by the very beginnings of the universe itself. with those huge dishes in the New Mexico desert, in a remote valley in Puerto Rico, in the green Pocahontas Valley in West Virginia, as well as dozens of other remote sites around the world. With each of these observatories, the scientists collect and analyze their data, listening to the radio signals from space, in order to learn what is out there, and perhaps even if someone else may be listening as well.

M. M. Shapiro and J. P. Wefel AN OVERVIEW OF COSMIC RAY RESEARCH: COMPOSITION, ACCELERATION AND PROPAGATION J. P. Wefel PROPAGATION AND TRANSFOR'1ATIONS OF cosme RAYS: 41 FROM SOURCES TO EARTH R. Silberberg, C. H. Tsao, J. R. Letaw and M. M. Shapiro 71 ULTRA HEAVY NUCLEI IN THE COSMIC RADIATION W. R. Binns GALACTIC COSMIC RAY HYDROGEN AND HELIUM 91 J. J. Beatty COSMIC RAYS OF THE HIGHEST ENERGIES 97 J. Szabelski STARS AND COSMIC RAYS 105 I. COOL STARS T. Montmerle STARS AND COSMIC RAYS 131 II. HOT STARS T. Montmerle ON THE POSSIBLE CONTRIBUTION OF WC STARS TO ISOTOPIC 153 ANOMALIES IN COSMIC RAYS AND METEORITES J. B. Blake and D. S. P. Dearborn GAMMA-RAY VIEWS ON THE GALACTIC COSMIC-RAY DISTRIBUTION 163 H. Bloemen VlIl RADIO ASTRONOMY AND COSMIC RAYS 175 K. W. Weiler PARTICLE ACCELERATION IN GALACTIC SUPERNOVA REMNANTS 205 D. A. Green PULSARS AS COSMIC RAY PARTICLE ACCELERATORS -- NEW RESULTS 215 ON THE DYNAMICS OF PROTONS IN VACUUM FIELDS K. o. Thie1heim CONDITIONS FOR ACCELERATION OF SUPER-HIGH ENERGY COSMIC RAYS 227 IN ACTIVE GALACTIC NUCLEI W. H. Sorrell COSMIC RAYS AND A STABLE HYDROSTATIC EQUILIBRIUM OF THE GALAXY 235 H. B10emen VRE AND URE GAMMA P Y OBSERVATIONS BY GROUND BASED 241 DETECTORS W. Stamm 15 HADRON AND MUON COMPONENTS IN PHOTON SHOWERS AT 10 eV 255 Ch. P. Vankov and J. N. Stamenov MONOPOLES, MUONS, NEUTRINOS AND CYGNUS X-3 261 M. L. Cherry, S. Corbato, D. Kieda, K. Lande, and C. K.

This book tells the story of the evolution of the Satellite Center which started from a small Satellite Systems Division in 1967 with a handful of engineers to a vibrant R&D center which is playing the lead role in the Indian Satellite Program. India's space program is unique as it is driven by societal applications. The Indian Space Research Organisation (ISRO) has centers dedicated to various space applications. The ISRO Satellite Centre, now known as the UR Rao Satellite Centre (URSC), has evolved as lead center for Satellite Technology over five decades and has developed state-of-the-art satellites for applications such as remote sensing, satellite communication and space science. Through the story of URSC, the book describes the challenges of putting together new research and development centers and programs and conveys the importance of leadership and project management skills required to undertake such a task. This book is of interest to researchers, professionals, and administrators involved in the development of new R&D facilities and also to space scientists and space enthusiasts across the world.

Introduction. Phase Transitions in the Early Universe and Defect Formation; T.W.B. Kibble. The Topological Classification of Defects; M. Kleman. Introduction to Growth Kinetics Problems; G.F. Mazenko. Dynamics of Cosmological Phase Transitions: What Can We Learn from Condensed Matter Physics? N. Goldenfeld. Topological Defects and Phase Ordering Dynamics; A.J. Bray. The Production of Strings and Monopoles at Phase Transitions; R.J Rivers, T.S. Evans. Geometry of Defect Scattering; N.S. Manton. Theory of Fluctuating Nonholonomic Fields and Applications: Statistical Mechanics of Vortices and Defects and New Physical Laws in Spaces with Curvature and Torsion; H. Kleinert. String Network Evolution; E.P.S. Shellard. Global Field Dynamics and Cosmological Structure Formation; R. Durrer. Electroweak Baryogenesis; N.G. Turok. Dynamics of Cosmic Strings and Other Brane Models; B. Carter. Cosmological Experiments in Superfluids and Superconductors; W. Zurek. Cosmological Experiments in Liquid 4He-Problems and Prospects; P.C. Hendry et al. Index.

High-contrast astronomical imaging has progressed significantly in the past decade. Many of these techniques have been laboratory demonstrated to perform at contrast levels adequate for the detection of Solar System-like planets and dust around nearby stars. None of them, however, have been demonstrated in space. The state of the art in high-contrast imaging systems that have been built for space-based observation, the environment best suited for spectroscopic study of exo-Earths, is the nulling interferometer that was flown on the Planetary Imaging Concept Testbed Using a Rocket Experiment (PICTURE). The PICTURE nulling interferometer, built from multiple optical elements, relies on the incorporation of additional dispersive components in order to deliver the broadband performance preferred for faint object imaging. These elements add to the cost, complexity, and misalignment risk of the instrument.
The Monolithic Achromatic Nulling Interference Coronagraph (MANIC) Brian Hicks describe in this thesis the first optic of its kind. He has taken the multiple optical element concept described in earlier works from theory to a flyable monolithic optic. Brian has advanced the state of the art in nulling interferometers by improving optical stability and robustness. Following application of the fabrication method described in this work, the design of MANIC also allows for broader band performance at higher contrast than that achieved with the PICTURE nulling interferometer.

"Tile; D'apC:Tile; l. DpWTa ()coi 7rpo7rapod)w GBP D'T}K,mi'. "between us and Goodness the gods have placed the sweat of our brows". This quote from Isiodos, the first lyrical poet, is jotted on a sheet of paper found among the papers of Heike Kamerlingh Onnes at the Boerhaave Museum, Leiden. On this same sheet, one can also read quotes from Schiller, Goethe, Shakespeare, Homer, Pindar and Dante. Each quote is for somebody or something. It appears to have been a game played at least by Ehrenfest and Crommelin -an unmistakable sign of these two physicists's deep culture. This particular quote was for the "Werkplaats", the Physical Laboratory of the University of Leiden. Our purpose in putting together the Selected Papers of its first Director, Kamerlingh Onnes (1853-1926), is to try and articulate the dominant trends of a different type of culture at Leiden: its physics culture during the years that established low temperature physics as a distinct branch of physics. Our aims in choosing the particular papers are threefold. First, we wish to present the interconnectedness among the different research programs of Kamerlingh Onnes and to bring out the decisive role of the work initiated by van der Waals in determining the direction of nearly all of these research programs.

This peer-reviewed book presents a comprehensive overview of the role space is playing in enabling Latin America to fulfill its developmental aspirations. Following on from the highly acclaimed Part 1 and Part 2, it explains how space and its applications can be used to support the development of the full range and diversity of Latin America societies, while being driven by Latin American goals. The Latin American space sector is currently undergoing a phase of rapid and dynamic expansion, with new actors entering the field and with space applications increasingly being used to support the continent's social, economic, and political development. All across Latin America, attention is shifting to space as a fundamental part of the continental development agenda, and the creation of a Latin American space agency is evidence of this. Additionally, while in recent years, significant advances in economic and social development have lifted many of Latin America's people out of poverty, there is still much that needs to be done to fulfill the basic needs of the population and to afford them the dignity they deserve. To this end, space is already being employed in diverse fields of human endeavor to serve Latin America's goals for its future, but there is still a need for further incorporation of space systems and data. This book will appeal to researchers, professionals and students in fields such as space studies, international relations, governance, and social and rural development.

Attilio Ferrari I want to recall here the basic points I raised at the beginning of the Workshop as the main targets of discussion (in the name of the Scientific Committee). I attempted to focus the attention of participants on the fact that, in many instances, we tend to discuss jets in terms of simple physics, more or less as one did at the time extragalactic radio sources were discovered: for instance, we still use equipartition arguments. However, we must realize that processes in jets, leading to their morphologies and energetics clearly depend on complex plasma phenomena. Therefore, the same standard arguments used to derive characteristic parameters should be questioned; some of the speakers were invited to attempt a critical analysis of this point, an~ in fact I believe that this "inquisitive attitude" was actually present all along the Workshop. Observers were asked to choose the parameters to be used in a statistical sample of jets. For this they were urged, first of all, to distinguish between primary and secondary features. For instance, are knots and wiggles common to all jets? Are relativistic flow velocities expected in all active nuclei? Are jets denser or lighter than the external medium? On the theoretical side I asked to discuss whether or not existing models are in accordance with the limited statistical sample that we have today. And which should be the lines of development to be pursued first, and to what extent.

Three eminent scientists, each well known for the clarity of their writing, present for students and researchers what is known about the internal structure, origin and evolution of White Dwarfs, Neutron Stars and Black Holes, all objects at the final stage of stellar evolution. They cover fascinating topics such as pulsation of white dwarfs, millisecond pulsars or the dynamics around black holes. The book is written for graduate students in astrophysics, but is also of interest to professional astronomers and physicists.

This open access book serves as textbook on the physics of the radiation belts surrounding the Earth. Discovered in 1958 the famous Van Allen Radiation belts were among the first scientific discoveries of the Space Age. Throughout the following decades the belts have been under intensive investigation motivated by the risks of radiation hazards they expose to electronics and humans on spacecraft in the Earth's inner magnetosphere. This textbook teaches the field from basic theory of particles and plasmas to observations which culminated in the highly successful Van Allen Probes Mission of NASA in 2012-2019. Using numerous data examples the authors explain the relevant concepts and theoretical background of the extremely complex radiation belt region, with the emphasis on giving a comprehensive and coherent understanding of physical processes affecting the dynamics of the belts. The target audience are doctoral students and young researchers who wish to learn about the physical processes underlying the acceleration, transport and loss of the radiation belt particles in the perspective of the state-of-the-art observations.