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6 Experimental observation of GW emission in compact binaries

Michele Maggiore

in Gravitational Waves: Volume 1: Theory and Experiments

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570745
eISBN:
9780191717666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570745.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses the experimental evidence for the existence of GWs, which was first obtained from the Hulse-Taylor binary pulsar, PSR B1913+16, and which is now further confirmed by ... More


Mapping Sociotechnical Systems That Deliver Media

Joshua A. Braun

in This Program Is Brought To You By...: Distributing Television News Online

Published in print:
2015
Published Online:
May 2016
ISBN:
9780300197501
eISBN:
9780300216240
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300197501.003.0003
Subject:
Society and Culture, Media Studies

This chapter examines media distribution within the context of sociotechnical systems. It begins with a discussion of the concept of recalcitrance and its relation to heterogeneous engineering before ... More


Two‐body problem in general relativity

H. Asada, T. Futamase, and P. A. Hogan

in Equations of Motion in General Relativity

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199584109
eISBN:
9780191723421
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199584109.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

For a binary star system the periastron advance per orbit period is calculated as well as the Shapiro time delay in radar arrival time due to the passage of the signal through the gravitational field ... More


Spherically symmetric spacetime — GR tests

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A spherically symmetric metric has two unknown scalar metric functions. The Schwarzschild solution to the GR field equation is presented. An embedding diagram is used to visualize such a warp space. ... More


Particles and Light Motion in Schwarzschild Spacetime

Valeri P. Frolov and Andrei Zelnikov

in Introduction to Black Hole Physics

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199692293
eISBN:
9780191731860
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199692293.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This Chapter studies particle and light motion near the Schwarzschild black hole. We focus mainly on those aspects of the motion that are specific for the black holes and that are of the most ... More


Introduction

Yang Zhu and Miroslav Krstic

in Delay-Adaptive Linear Control

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691202549
eISBN:
9780691203317
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202549.003.0001
Subject:
Mathematics, Applied Mathematics

This introductory chapter provides an overview of time-delay systems. Time-delay systems, also called systems with after-effect or dead-time, hereditary systems, equations with deviating argument, or ... More


Phase Space Reconstruction

Ray Huffaker, Marco Bittelli, and Rodolfo Rosa

in Nonlinear Time Series Analysis with R

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198782933
eISBN:
9780191826153
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198782933.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In this chapter we introduce an important concept concerning the study of both discrete and continuous dynamical systems, the concept of phase space or “state space”. It is an abstract mathematical ... More


Full-State Feedback of Uncertain Multi-Input Systems

Yang Zhu and Miroslav Krstic

in Delay-Adaptive Linear Control

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691202549
eISBN:
9780691203317
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202549.003.0007
Subject:
Mathematics, Applied Mathematics

This chapter investigates adaptive control for uncertain multi-input LTI systems with distinct discrete actuator delays. In parallel with the single-input case in the third chapter, four types of ... More


General Relativity and the Schwarzschild Metric

David M. Wittman

in The Elements of Relativity

Published in print:
2018
Published Online:
August 2018
ISBN:
9780199658633
eISBN:
9780191863653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199658633.003.0018
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Previously, we saw that variations in the time part of the spacetime metric cause free particles to accelerate, thus unifying gravity and relativity; and that orbits trace those accelerations, which ... More


Geodesics in the Solar System

Steven Carlip

in General Relativity: A Concise Introduction

Published in print:
2019
Published Online:
March 2019
ISBN:
9780198822158
eISBN:
9780191861215
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822158.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Given the spacetime geometry of the Solar System, the geodesic equation can be used to derive the motion of massive objects and light. In this chapter, starting with the Schwarzschild metric, the ... More


Testing relativity

Nils Andersson

in Gravitational-Wave Astronomy: Exploring the Dark Side of the Universe

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198568032
eISBN:
9780191878077
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198568032.003.0010
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Different tests of Einstein’s theory are introduced alongside a discussion of geodesic motion in a curved spacetime. The different classical tests are considered, from light bending to perihelion ... More


Orchestral Layout and the Best Concert Seats

Peter Townsend

in The Evolution of Music through Culture and Science

Published in print:
2019
Published Online:
November 2019
ISBN:
9780198848400
eISBN:
9780191882968
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198848400.003.0014
Subject:
Physics, History of Physics

Orchestras have grown larger over the last 200 years, with more volume, and many new instruments. There are time lags produced between playing and arrival at a seat in the audience. This can produce ... More


Single-Input Systems with Full Relative Degree

Yang Zhu and Miroslav Krstic

in Delay-Adaptive Linear Control

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691202549
eISBN:
9780691203317
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202549.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter analyzes single-input systems with full relative degree. The primary approach is based on the adaptive backstepping control with Kreisselmeier-filters. In output-feedback adaptive ... More


Integration of one-dimensional equations of motion

Gleb L. Kotkin and Valeriy G. Serbo

in Exploring Classical Mechanics: A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition

Published in print:
2020
Published Online:
October 2020
ISBN:
9780198853787
eISBN:
9780191888236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853787.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

If the potential energy is independent of time, the energy of the system remains constant during the motion of a closed system. A system with one degree of freedom allows for the determination of the ... More


Bulk Ultrasonic Techniques for Evaluation of Elastic Properties

Dale Chimenti, Stanislav Rokhlin, and Peter Nagy

in Physical Ultrasonics of Composites

Published in print:
2011
Published Online:
November 2020
ISBN:
9780195079609
eISBN:
9780197560389
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195079609.003.0007
Subject:
Chemistry, Industrial Chemistry

Currently, the design of most composite components is based on stiffness, and therefore methods for static measurement of stiffness are in wide use. The disadvantages ... More


Integration of one-dimensional equations of motions

Gleb L. Kotkin and Valeriy G. Serbo

in Exploring Classical Mechanics: A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition

Published in print:
2020
Published Online:
October 2020
ISBN:
9780198853787
eISBN:
9780191888236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853787.003.0014
Subject:
Physics, Condensed Matter Physics / Materials

If the potential energy is independent of time, the energy of the system remains constant during the motion of a closed system. A system with one degree of freedom allows for the determination of the ... More


Nonlocal Collision Integral

Klaus Morawetz

in Interacting Systems far from Equilibrium: Quantum Kinetic Theory

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198797241
eISBN:
9780191838743
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198797241.003.0013
Subject:
Physics, Condensed Matter Physics / Materials

The kinetic equation with the nonlocal shifts is presented as the final result on the way to derive the kinetic equation with nonlocal corrections. The exclusive dependence of the nonlocal and ... More


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