Martin Beech

Comets have not only blazed across the celestial vault throughout human history, they have embellished the night sky since the Earth itself formed some 4.5 billion years ago. Comets were among the first-born solid bodies in the solar system, and their frozen nuclei tell of the primordial chemistry and chaos that ultimately resulted in the formation of the planets, the evolution of life and us. For all this, however, comets have long been celestial oddities: they baffled our distant ancestors, and human society continues to marvel and speculate wildly at their appearance even to the present day. Cutting against the perceived constancy of the stars, comets seemingly present themselves at random times and they are often interpreted as harbingers of terrestrial change - both good and ill. How then are we to tame the comet: where do they form, how do they move, and can their appearances be predicted? Such questions have preoccupied astronomers for centuries but comets have only gradually allowed the secrets of their wayward flight to be revealed. In this book I explore the historical struggle to understand not only the place of comets within a societal context, but also the scientific quest to make their paths amenable to mathematical certitude. The latter narrative is the more technical in content, but it took tactile form with the invention, in 1732, of the cometarium, a mechanical device to demonstrate the first two of Kepler's planetary laws. And, this development was later paralleled, in the mid to late 19th century, by the development of various mechanical devices (analog computers) to help obtain solutions to Kepler's Problem - the problem which asks, exactly where in its orbit is a given comet at some specific set time. The telling of the wayward comets story covers the past two millennia of human history, and it takes us from the phenomenological musings of Aristotle, through the exactitude of Newton's gravitational theory and calculus, to the truly incredible study of comet 67P/Churyumov-Gerasimenko, by the European Space Agency's Rosetta spacecraft, in the modern era.

A Descriptive History of Cometary Orbits, Kepler's Problem and the Cometarium

The Wayward Comet

This book is concerned with two tightly knit topics — those of mathematics and astronomy. Its focus is primarily concerned with planetary astronomy, and specifically the history of accounting for the spacing of planetary orbits. The story begins with the ancient Greek philosophers and continues to the modern era and the new data being gleaned from the study of exoplanetary systems. Throughout the text, the manner in which mathematical theory has been used to decipher, and impose order upon the solar system, will be examined. Attention and discussion will be directed towards the so-called Titius-Bode rule, a long-standing ordering principle, that in fact it has no physical underpinning or explanation.The story presented will look at how humanity has learned about the workings of the solar system, and it will look at the philosophical problems that arise when mathematical exposition leads observation. Furthermore, the fundamental role of mathematics in the development of physical theory is examined, and it is argued that there are some gaps in our knowledge of the solar system (and the universe) that mathematics and physical theory will never successfully bridge. The text will present material at the informed-amateur scientist, university undergraduate student level.

Mind The Gap: The Labyrinthine Story Of Planetary Orbits, Mathematics, And The Titius-bode Rule

As our closest stellar companion and composed of two Sun-like stars and a third small dwarf star, Alpha Centauri is an ideal testing ground of astrophysical models and has played a central role in the history and development of modern astronomy—from the first guesses at stellar distances to understanding how our own star, the Sun, might have evolved. It is also the host of the nearest known exoplanet, an ultra-hot, Earth-like planet recently discovered. Just 4.4 light years away Alpha Centauri is also the most obvious target for humanity’s first directed interstellar space probe. Such a mission could reveal the small-scale structure of a new planetary system and also represent the first step in what must surely be humanity’s greatest future adventure—exploration of the Milky Way Galaxy itself. For all of its closeness, α Centauri continues to tantalize astronomers with many unresolved mysteries, such as how did it form, how many planets does it contain and where are they, and how might we view its extensive panorama directly? In this book we move from the study of individual stars to the study of our Solar System and our nearby galactic neighborhood. On the way we will review the rapidly developing fields of exoplanet formation and detection.

Unveiling the Secrets of Our Nearest Stellar Neighbor

Alpha Centauri

Joseph Seckbach

Richard Gordon

The idea of terraforming Mars has, in recent times, become a topic of intense scientific interest and great public debate. Stimulated in part by the contemporary imperative to begin geoengineering Earth, as a means to combat global climate change, the terraforming of Mars will work to make its presently hostile environment more suitable to life - especially human life. Geoengineering and terraforming, at their core, have the same goal - that is to enhance (or revive) the ability of a specific environment to support human life, society, and industry. The articles in this text, written by experts in their respective fields, are accordingly in resonance with the important, and on-going discussions concerning the human stewardship of global climate systems. In this sense, the text is both timely and relevant, and will cover issues relating to topics that will only grow in their relevance in future decades. The notion of terraforming Mars is not a new one, as such, and it has long played as the background narrative in many science fiction novels. This book, however, deals exclusively with what is physically possible, and what might conceivable be put into actual practice within the next several human generations.

Terraforming Mars

Hurtling through the atmosphere, in a blaze of light and reverberating percussions, the arrival of a meteorite on Earth is a magical, rare, and precious sight. These characteristics have accordingly ensured a long, yet often controversial history. For all this, meteorites are cosmic messengers. They tell us about the entire history of the solar system, their story carrying us from the very earliest moments, when solid material first began to form in the solar nebula. Indeed, meteorites played a key role in the origins of Earth's oceans and the genesis of life. Meteorites additionally tell us about the origin and evolution of the asteroids, and they tell us about impacts upon the Moon as well as the volcanic history of planet Mars. Much is known about the structure and chemistry of meteorites, but for all this, they still harbor many scientific mysteries that have yet to be resolved.

Cabinet Of Curiosities, A: The Myth, Magic And Measure Of Meteorites

The pendulum is perhaps the simplest experimental devices ever constructed, and yet for all its simplicity it has historically enabled scientists to both investigate and enumerate gravity; the fundamental force that shapes the very universe. The pendulum has also allowed astronomers and geologists to measure the motion, mass and distribution of matter within the Earth, and its stately swing is at the very heartbeat of time. This book explores the many applications of the pendulum, from its employment as a fundamental experimental device, such as in the Cavendish torsion balance for measuring the universal gravitational constant, to its everyday, practical use in geology, astronomy and horology.

Variations on a Theme and the Measure of Heaven and Earth

The Pendulum Paradigm

This textbook introduces the reader to the basic concepts and equations that describe stellar structure. Various approximation techniques are used to solve equations, and an intuitive rather than rigorous approach is employed to interpret the properties of the stars. The book provides step-by-step instructions, helpful exercises and relevant historical lessons to familiarize students with key concepts and mathematical theories. Based upon a series of one-semester (12 weeks) elective undergraduate courses offered at the University of Regina, this book is intended for students who are interested in seeing how basic calculus and introductory physics can be applied to the understanding of the stars from their formation to their death. The text provides an intermediate stepping stone between lower-level undergraduate classes and more specialized postgraduate texts on the subject of stellar structure.

Formation, Structure and Evolution

Introducing the Stars

This book explores the mechanics of star formation, the process by which matter pulls together and creates new structures. Written for science enthusiasts, the author presents an accessible explanation of how stars are born from the interstellar medium and giant molecular clouds. Stars produce the chemicals that lead to life, and it is they that have enabled the conditions for planets to form and life to emerge. Although the Big Bang provided the spark of initiation, the primordial universe that it sired was born hopelessly sterile. It is only through the continued recycling of the interstellar medium, star formation, and stellar evolution that the universe has been animated beyond a chaotic mess of elementary atomic particles, radiation, dark matter, dark energy, and expanding spacetime. Using the Milky Way and the Eagle Nebula in particular as case studies, Beech follows every step of this amazing process.

Giant Molecular Clouds, Star Formation, and Cosmic Recycling

The Pillars of Creation

The ability is see is fundamental to our very existence. How true our perceptions really are depends upon many factors, and not least is our understanding of what light is and how it interacts with matter. It was said that the camera, the icon of light recording instruments, never lies, and in the day of the glass plate and celluloid roll-film this might well have been true. But in this modern era, with electronic cameras and computer software, it is often safe to assume that the camera always lies. The advertising images that bombard our every waking moment are manipulated in shape, profile, color, and form. In this new era, light can be manipulated with metamaterials to make one object look like another or even cause that objects to vanish, literally before our eyes; not only can the image we see be manipulated, but so can the light itself.

A Story of Light and Deception

The Physics of Invisibility

The word ‘‘terraforming’’ conjures up many exotic images and p- hapsevenwildemotions,butatitscoreitencapsulatestheideathat worldscanbechangedbydirecthumanaction.Theultimateaimof terraforming is to alter a hostile planetary environment into one that is Earth-like, and eventually upon the surface of the new and vibrant world that you or I could walk freely about and explore. It is not entirely clear that this high goal of terraforming can ever be achieved, however, and consequently throughout much of thisbooktheterraformingideasthatarediscussedwillapplytothe goal of making just some fraction of a world habitable. In other cases,theterraformingdescribedmightbeaimedatmakingaworld habitablenotforhumansbutforsomepotentialfoodsourcethat,of course, could be consumed by humans. The many icy moons that reside within the Solar System, for example, may never be ideal locationsforhumanhabitation,buttheypresentthegreatpotential for conversion into enormous hydroponic food-producing centers. The idea of transforming alien worlds has long been a literary backdrop for science fiction writers, and many a make-believe planet has succumbed to the actions of direct manipulation and the indomitable grinding of colossal machines. Indeed, there is something both liberating and humbling about the notion of tra- forming another world; it is the quintessential eucatastrophy espoused by J. R. R. Tolkien, the catastrophe that ultimately brings about a better world. When oxygen was first copiously produced by cyanobacterial activity on the Earth some three billion years ago, it was an act of extreme chemical pollution and a eucatastrophy. The original life-nurturing atmosphere was (eventually) changed f- ever, but an atmosphere that could support advanced life forms came about.

Martin Beech

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