Defense Primer: the United States Space Force
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Classical Mechanics
Classical Mechanics Hyoungsoon Choi Spring, 2014 Contents 1 Introduction4 1.1 Kinematics and Kinetics . .5 1.2 Kinematics: Watching Wallace and Gromit ............6 1.3 Inertia and Inertial Frame . .8 2 Newton's Laws of Motion 10 2.1 The First Law: The Law of Inertia . 10 2.2 The Second Law: The Equation of Motion . 11 2.3 The Third Law: The Law of Action and Reaction . 12 3 Laws of Conservation 14 3.1 Conservation of Momentum . 14 3.2 Conservation of Angular Momentum . 15 3.3 Conservation of Energy . 17 3.3.1 Kinetic energy . 17 3.3.2 Potential energy . 18 3.3.3 Mechanical energy conservation . 19 4 Solving Equation of Motions 20 4.1 Force-Free Motion . 21 4.2 Constant Force Motion . 22 4.2.1 Constant force motion in one dimension . 22 4.2.2 Constant force motion in two dimensions . 23 4.3 Varying Force Motion . 25 4.3.1 Drag force . 25 4.3.2 Harmonic oscillator . 29 5 Lagrangian Mechanics 30 5.1 Configuration Space . 30 5.2 Lagrangian Equations of Motion . 32 5.3 Generalized Coordinates . 34 5.4 Lagrangian Mechanics . 36 5.5 D'Alembert's Principle . 37 5.6 Conjugate Variables . 39 1 CONTENTS 2 6 Hamiltonian Mechanics 40 6.1 Legendre Transformation: From Lagrangian to Hamiltonian . 40 6.2 Hamilton's Equations . 41 6.3 Configuration Space and Phase Space . 43 6.4 Hamiltonian and Energy . 45 7 Central Force Motion 47 7.1 Conservation Laws in Central Force Field . 47 7.2 The Path Equation . -
Outer Space in Russia's Security Strategy
Outer Space in Russia’s Security Strategy Nicole J. Jackson Simons Papers in Security and Development No. 64/2018 | August 2018 Simons Papers in Security and Development No. 64/2018 2 The Simons Papers in Security and Development are edited and published at the School for International Studies, Simon Fraser University. The papers serve to disseminate research work in progress by the School’s faculty and associated and visiting scholars. Our aim is to encourage the exchange of ideas and academic debate. Inclusion of a paper in the series should not limit subsequent publication in any other venue. All papers can be downloaded free of charge from our website, www.sfu.ca/internationalstudies. The series is supported by the Simons Foundation. Series editor: Jeffrey T. Checkel Managing editor: Martha Snodgrass Jackson, Nicole J., Outer Space in Russia’s Security Strategy, Simons Papers in Security and Development, No. 64/2018, School for International Studies, Simon Fraser University, Vancouver, August 2018. ISSN 1922-5725 Copyright remains with the author. Reproduction for other purposes than personal research, whether in hard copy or electronically, requires the consent of the author(s). If cited or quoted, reference should be made to the full name of the author(s), the title, the working paper number and year, and the publisher. Copyright for this issue: Nicole J. Jackson, nicole_jackson(at)sfu.ca. School for International Studies Simon Fraser University Suite 7200 - 515 West Hastings Street Vancouver, BC Canada V6B 5K3 Outer Space in Russia’s Security Strategy 3 Outer Space in Russia’s Security Strategy Simons Papers in Security and Development No. -
Pioneers in Optics: Christiaan Huygens
Downloaded from Microscopy Pioneers https://www.cambridge.org/core Pioneers in Optics: Christiaan Huygens Eric Clark From the website Molecular Expressions created by the late Michael Davidson and now maintained by Eric Clark, National Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32306 . IP address: [email protected] 170.106.33.22 Christiaan Huygens reliability and accuracy. The first watch using this principle (1629–1695) was finished in 1675, whereupon it was promptly presented , on Christiaan Huygens was a to his sponsor, King Louis XIV. 29 Sep 2021 at 16:11:10 brilliant Dutch mathematician, In 1681, Huygens returned to Holland where he began physicist, and astronomer who lived to construct optical lenses with extremely large focal lengths, during the seventeenth century, a which were eventually presented to the Royal Society of period sometimes referred to as the London, where they remain today. Continuing along this line Scientific Revolution. Huygens, a of work, Huygens perfected his skills in lens grinding and highly gifted theoretical and experi- subsequently invented the achromatic eyepiece that bears his , subject to the Cambridge Core terms of use, available at mental scientist, is best known name and is still in widespread use today. for his work on the theories of Huygens left Holland in 1689, and ventured to London centrifugal force, the wave theory of where he became acquainted with Sir Isaac Newton and began light, and the pendulum clock. to study Newton’s theories on classical physics. Although it At an early age, Huygens began seems Huygens was duly impressed with Newton’s work, he work in advanced mathematics was still very skeptical about any theory that did not explain by attempting to disprove several theories established by gravitation by mechanical means. -
Chapter 5 ANGULAR MOMENTUM and ROTATIONS
Chapter 5 ANGULAR MOMENTUM AND ROTATIONS In classical mechanics the total angular momentum L~ of an isolated system about any …xed point is conserved. The existence of a conserved vector L~ associated with such a system is itself a consequence of the fact that the associated Hamiltonian (or Lagrangian) is invariant under rotations, i.e., if the coordinates and momenta of the entire system are rotated “rigidly” about some point, the energy of the system is unchanged and, more importantly, is the same function of the dynamical variables as it was before the rotation. Such a circumstance would not apply, e.g., to a system lying in an externally imposed gravitational …eld pointing in some speci…c direction. Thus, the invariance of an isolated system under rotations ultimately arises from the fact that, in the absence of external …elds of this sort, space is isotropic; it behaves the same way in all directions. Not surprisingly, therefore, in quantum mechanics the individual Cartesian com- ponents Li of the total angular momentum operator L~ of an isolated system are also constants of the motion. The di¤erent components of L~ are not, however, compatible quantum observables. Indeed, as we will see the operators representing the components of angular momentum along di¤erent directions do not generally commute with one an- other. Thus, the vector operator L~ is not, strictly speaking, an observable, since it does not have a complete basis of eigenstates (which would have to be simultaneous eigenstates of all of its non-commuting components). This lack of commutivity often seems, at …rst encounter, as somewhat of a nuisance but, in fact, it intimately re‡ects the underlying structure of the three dimensional space in which we are immersed, and has its source in the fact that rotations in three dimensions about di¤erent axes do not commute with one another. -
A Guide to Space Law Terms: Spi, Gwu, & Swf
A GUIDE TO SPACE LAW TERMS: SPI, GWU, & SWF A Guide to Space Law Terms Space Policy Institute (SPI), George Washington University and Secure World Foundation (SWF) Editor: Professor Henry R. Hertzfeld, Esq. Research: Liana X. Yung, Esq. Daniel V. Osborne, Esq. December 2012 Page i I. INTRODUCTION This document is a step to developing an accurate and usable guide to space law words, terms, and phrases. The project developed from misunderstandings and difficulties that graduate students in our classes encountered listening to lectures and reading technical articles on topics related to space law. The difficulties are compounded when students are not native English speakers. Because there is no standard definition for many of the terms and because some terms are used in many different ways, we have created seven categories of definitions. They are: I. A simple definition written in easy to understand English II. Definitions found in treaties, statutes, and formal regulations III. Definitions from legal dictionaries IV. Definitions from standard English dictionaries V. Definitions found in government publications (mostly technical glossaries and dictionaries) VI. Definitions found in journal articles, books, and other unofficial sources VII. Definitions that may have different interpretations in languages other than English The source of each definition that is used is provided so that the reader can understand the context in which it is used. The Simple Definitions are meant to capture the essence of how the term is used in space law. Where possible we have used a definition from one of our sources for this purpose. When we found no concise definition, we have drafted the definition based on the more complex definitions from other sources. -
Space Weapons Earth Wars
CHILDREN AND FAMILIES The RAND Corporation is a nonprofit institution that EDUCATION AND THE ARTS helps improve policy and decisionmaking through ENERGY AND ENVIRONMENT research and analysis. HEALTH AND HEALTH CARE This electronic document was made available from INFRASTRUCTURE AND www.rand.org as a public service of the RAND TRANSPORTATION Corporation. INTERNATIONAL AFFAIRS LAW AND BUSINESS NATIONAL SECURITY Skip all front matter: Jump to Page 16 POPULATION AND AGING PUBLIC SAFETY SCIENCE AND TECHNOLOGY Support RAND Purchase this document TERRORISM AND HOMELAND SECURITY Browse Reports & Bookstore Make a charitable contribution For More Information Visit RAND at www.rand.org Explore RAND Project AIR FORCE View document details Limited Electronic Distribution Rights This document and trademark(s) contained herein are protected by law as indicated in a notice appearing later in this work. This electronic representation of RAND intellectual property is provided for non-commercial use only. Unauthorized posting of RAND electronic documents to a non-RAND website is prohibited. RAND electronic documents are protected under copyright law. Permission is required from RAND to reproduce, or reuse in another form, any of our research documents for commercial use. For information on reprint and linking permissions, please see RAND Permissions. The monograph/report was a product of the RAND Corporation from 1993 to 2003. RAND monograph/reports presented major research findings that addressed the challenges facing the public and private sectors. They included executive summaries, technical documentation, and synthesis pieces. SpaceSpace WeaponsWeapons EarthEarth WarsWars Bob Preston | Dana J. Johnson | Sean J.A. Edwards Michael Miller | Calvin Shipbaugh Project AIR FORCE R Prepared for the United States Air Force Approved for public release; distribution unlimited The research reported here was sponsored by the United States Air Force under Contract F49642-01-C-0003. -
Tailoring Deterrence for China in Space for More Information on This Publication, Visit
C O R P O R A T I O N KRISTA LANGELAND, DEREK GROSSMAN Tailoring Deterrence for China in Space For more information on this publication, visit www.rand.org/t/RRA943-1. About RAND The RAND Corporation is a research organization that develops solutions to public policy challenges to help make communities throughout the world safer and more secure, healthier and more prosperous. RAND is nonprofit, nonpartisan, and committed to the public interest. To learn more about RAND, visit www.rand.org. Research Integrity Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit www.rand.org/about/principles. RAND’s publications do not necessarily reflect the opinions of its research clients and sponsors. Published by the RAND Corporation, Santa Monica, Calif. © 2021 RAND Corporation is a registered trademark. Library of Congress Cataloging-in-Publication Data is available for this publication. ISBN: 978-1-9774-0703-0 Cover: Long March 5 Y2 by 篁竹水声 Limited Print and Electronic Distribution Rights This document and trademark(s) contained herein are protected by law. -
Espinsights the Global Space Activity Monitor
ESPInsights The Global Space Activity Monitor Issue 1 January–April 2019 CONTENTS SPACE POLICY AND PROGRAMMES .................................................................................... 1 Focus .................................................................................................................... 1 Europe ................................................................................................................... 4 11TH European Space Policy Conference ......................................................................... 4 EU programmatic roadmap: towards a comprehensive Regulation of the European Space Programme 4 EDA GOVSATCOM GSC demo project ............................................................................. 5 Programme Advancements: Copernicus, Galileo, ExoMars ................................................... 5 European Space Agency: partnerships continue to flourish................................................... 6 Renewed support for European space SMEs and training ..................................................... 7 UK Space Agency leverages COMPASS project for international cooperation .............................. 7 France multiplies international cooperation .................................................................... 7 Italy’s PRISMA pride ................................................................................................ 8 Establishment of the Portuguese Space Agency: Data is King ................................................ 8 Belgium and Luxembourg -
Securing Japan an Assessment of Japan´S Strategy for Space
Full Report Securing Japan An assessment of Japan´s strategy for space Report: Title: “ESPI Report 74 - Securing Japan - Full Report” Published: July 2020 ISSN: 2218-0931 (print) • 2076-6688 (online) Editor and publisher: European Space Policy Institute (ESPI) Schwarzenbergplatz 6 • 1030 Vienna • Austria Phone: +43 1 718 11 18 -0 E-Mail: [email protected] Website: www.espi.or.at Rights reserved - No part of this report may be reproduced or transmitted in any form or for any purpose without permission from ESPI. Citations and extracts to be published by other means are subject to mentioning “ESPI Report 74 - Securing Japan - Full Report, July 2020. All rights reserved” and sample transmission to ESPI before publishing. ESPI is not responsible for any losses, injury or damage caused to any person or property (including under contract, by negligence, product liability or otherwise) whether they may be direct or indirect, special, incidental or consequential, resulting from the information contained in this publication. Design: copylot.at Cover page picture credit: European Space Agency (ESA) TABLE OF CONTENT 1 INTRODUCTION ............................................................................................................................. 1 1.1 Background and rationales ............................................................................................................. 1 1.2 Objectives of the Study ................................................................................................................... 2 1.3 Methodology -
Energy Harvesters for Space Applications 1
Energy harvesters for space applications 1 Energy harvesters for space R. Graczyk limited, especially that they are likely to operate in charge Abstract—Energy harvesting is the fundamental activity in (energy build-up in span of minutes or tens of minutes) and almost all forms of space exploration known to humans. So far, act (perform the measurement and processing quickly and in most cases, it is not feasible to bring, along with probe, effectively). spacecraft or rover suitable supply of fuel to cover all mission’s State-of-the-art research facilitated by growing industrial energy needs. Some concepts of mining or other form of interest in energy harvesting as well as innovative products manufacturing of fuel on exploration site have been made, but they still base either on some facility that needs one mean of introduced into market recently show that described energy to generate fuel, perhaps of better quality, or needs some techniques are viable source of energy for sensors, sensor initial energy to be harvested to start a self sustaining cycle. networks and personal devices. Research and development Following paper summarizes key factors that determine satellite activities include technological advances for automotive energy needs, and explains some either most widespread or most industry (tire pressure monitors, using piezoelectric effect ), interesting examples of energy harvesting devices, present in Earth orbit as well as exploring Solar System and, very recently, aerospace industry (fuselage sensor network in aircraft, using beyond. Some of presented energy harvester are suitable for thermoelectric effect), manufacturing automation industry very large (in terms of size and functionality) probes, other fit (various sensors networks, using thermoelectric, piezoelectric, and scale easily on satellites ranging from dozens of tons to few electrostatic, photovoltaic effects), personal devices (wrist grams. -
Definitions Matter – Anything That Has Mass and Takes up Space. Property – a Characteristic of Matter That Can Be Observed Or Measured
Matter – Definitions matter – Anything that has mass and takes up space. property – A characteristic of matter that can be observed or measured. mass – The amount of matter making up an object. volume – A measure of how much space the matter of an object takes up. buoyancy – The upward force of a liquid or gas on an object. solid – A state of matter that has a definite shape and volume. liquid – A state of matter that has a definite volume but no definite shape. It takes the shape of its container. gas – A state of matter that has no definite shape or volume. metric system – A system of measurement based on units of ten. It is used in most countries and in all scientific work. length – The number of units that fit along one edge of an object. area – The number of unit squares that fit inside a surface. density – The amount of matter in a given space. In scientific terms, density is the amount of mass in a unit of volume. weight – The measure of the pull of gravity between an object and Earth. gravity – A force of attraction, or pull, between objects. physical change – A change that begins and ends with the same type of matter. change of state – A physical change of matter from one state – solid, liquid, or gas – to another state because of a change in the energy of the matter. evaporation – The process of a liquid changing to a gas. rust – A solid brown compound formed when iron combines chemically with oxygen. chemical change – A change that produces new matter with different properties from the original matter. -
Espinsights the Global Space Activity Monitor
ESPInsights The Global Space Activity Monitor Issue 6 April-June 2020 CONTENTS FOCUS ..................................................................................................................... 6 The Crew Dragon mission to the ISS and the Commercial Crew Program ..................................... 6 SPACE POLICY AND PROGRAMMES .................................................................................... 7 EUROPE ................................................................................................................. 7 COVID-19 and the European space sector ....................................................................... 7 Space technologies for European defence ...................................................................... 7 ESA Earth Observation Missions ................................................................................... 8 Thales Alenia Space among HLS competitors ................................................................... 8 Advancements for the European Service Module ............................................................... 9 Airbus for the Martian Sample Fetch Rover ..................................................................... 9 New appointments in ESA, GSA and Eurospace ................................................................ 10 Italy introduces Platino, regions launch Mirror Copernicus .................................................. 10 DLR new research observatory ..................................................................................