A Decade of Growth
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Astrodynamics
Politecnico di Torino SEEDS SpacE Exploration and Development Systems Astrodynamics II Edition 2006 - 07 - Ver. 2.0.1 Author: Guido Colasurdo Dipartimento di Energetica Teacher: Giulio Avanzini Dipartimento di Ingegneria Aeronautica e Spaziale e-mail: [email protected] Contents 1 Two–Body Orbital Mechanics 1 1.1 BirthofAstrodynamics: Kepler’sLaws. ......... 1 1.2 Newton’sLawsofMotion ............................ ... 2 1.3 Newton’s Law of Universal Gravitation . ......... 3 1.4 The n–BodyProblem ................................. 4 1.5 Equation of Motion in the Two-Body Problem . ....... 5 1.6 PotentialEnergy ................................. ... 6 1.7 ConstantsoftheMotion . .. .. .. .. .. .. .. .. .... 7 1.8 TrajectoryEquation .............................. .... 8 1.9 ConicSections ................................... 8 1.10 Relating Energy and Semi-major Axis . ........ 9 2 Two-Dimensional Analysis of Motion 11 2.1 ReferenceFrames................................. 11 2.2 Velocity and acceleration components . ......... 12 2.3 First-Order Scalar Equations of Motion . ......... 12 2.4 PerifocalReferenceFrame . ...... 13 2.5 FlightPathAngle ................................. 14 2.6 EllipticalOrbits................................ ..... 15 2.6.1 Geometry of an Elliptical Orbit . ..... 15 2.6.2 Period of an Elliptical Orbit . ..... 16 2.7 Time–of–Flight on the Elliptical Orbit . .......... 16 2.8 Extensiontohyperbolaandparabola. ........ 18 2.9 Circular and Escape Velocity, Hyperbolic Excess Speed . .............. 18 2.10 CosmicVelocities -
Satellite Systems
Chapter 18 REST-OF-WORLD (ROW) SATELLITE SYSTEMS For the longest time, space exploration was an exclusive club comprised of only two members, the United States and the Former Soviet Union. That has now changed due to a number of factors, among the more dominant being economics, advanced and improved technologies and national imperatives. Today, the number of nations with space programs has risen to over 40 and will continue to grow as the costs of spacelift and technology continue to decrease. RUSSIAN SATELLITE SYSTEMS The satellite section of the Russian In the post-Soviet era, Russia contin- space program continues to be predomi- ues its efforts to improve both its military nantly government in character, with and commercial space capabilities. most satellites dedicated either to civil/ These enhancements encompass both military applications (such as communi- orbital assets and ground-based space cations and meteorology) or exclusive support facilities. Russia has done some military missions (such as reconnaissance restructuring of its operating principles and targeting). A large portion of the regarding space. While these efforts have Russian space program is kept running by attempted not to detract from space-based launch services, boosters and launch support to military missions, economic sites, paid for by foreign commercial issues and costs have lead to a lowering companies. of Russian space-based capabilities in The most obvious change in Russian both orbital assets and ground station space activity in recent years has been the capabilities. decrease in space launches and corre- The influence of Glasnost on Russia's sponding payloads. Many of these space programs has been significant, but launches are for foreign payloads, not public announcements regarding space Russian. -
Classification of Geosynchronous Objects Issue 12
EUROPEAN SPACE AGENCY EUROPEAN SPACE OPERATIONS CENTRE GROUND SYSTEMS ENGINEERING DEPARTMENT Space Debris Office CLASSIFICATION OF GEOSYNCHRONOUS OBJECTS ISSUE 12 by R. Choc and R. Jehn Produced with the DISCOS Database February 2010 ESOC Robert-Bosch-Str. 5, 64293 Darmstadt, Germany 3 Abstract This is a status report on geosynchronous objects as of the end of 2009. Based on orbital data in ESA’s DISCOS database and on orbital data provided by KIAM the situation near the geostationary ring (here defined as orbits with mean motion between 0.9 and 1.1 revolutions per day, eccentricity smaller than 0.2 and inclination below 30 deg) is analysed. From 1161 objects for which orbital data are available, 391 are controlled inside their longitude slots, 594 are drifting above, below or through GEO, 169 are in a libration orbit and 7 whose status could not be determined. Furthermore, there are 77 uncontrolled objects without orbital data (of which 66 have not been catalogued). Thus the total number of known objects in the geostationary region is 1238. During 2009 twenty-one spacecraft reached end-of-life. Eleven of them were reorbited following the IADC recommendations, one spacecraft was reorbited with a perigee of 225 km - it is not yet clear if it will enter the 200-km protected zone around GEO or not -, six spacecraft were reorbited too low and three spacecraft did not or could not make any reorbiting manouevre at all and are now librating inside the geostationary ring. If you detect any error or if you have any comment or question please contact R¨udiger Jehn European Space Operations Center Robert-Bosch-Str. -
Up, Up, and Away by James J
www.astrosociety.org/uitc No. 34 - Spring 1996 © 1996, Astronomical Society of the Pacific, 390 Ashton Avenue, San Francisco, CA 94112. Up, Up, and Away by James J. Secosky, Bloomfield Central School and George Musser, Astronomical Society of the Pacific Want to take a tour of space? Then just flip around the channels on cable TV. Weather Channel forecasts, CNN newscasts, ESPN sportscasts: They all depend on satellites in Earth orbit. Or call your friends on Mauritius, Madagascar, or Maui: A satellite will relay your voice. Worried about the ozone hole over Antarctica or mass graves in Bosnia? Orbital outposts are keeping watch. The challenge these days is finding something that doesn't involve satellites in one way or other. And satellites are just one perk of the Space Age. Farther afield, robotic space probes have examined all the planets except Pluto, leading to a revolution in the Earth sciences -- from studies of plate tectonics to models of global warming -- now that scientists can compare our world to its planetary siblings. Over 300 people from 26 countries have gone into space, including the 24 astronauts who went on or near the Moon. Who knows how many will go in the next hundred years? In short, space travel has become a part of our lives. But what goes on behind the scenes? It turns out that satellites and spaceships depend on some of the most basic concepts of physics. So space travel isn't just fun to think about; it is a firm grounding in many of the principles that govern our world and our universe. -
BAB II PENINGKATAN KAPABILITAS MILITER CHINA BAB II Akan
BAB II PENINGKATAN KAPABILITAS MILITER CHINA BAB II akan memberikan uraian penulis tentang peningkatan kapabilitas militer China dan ancaman bagi Jepang. Kapabilitas militer China tidak bisa diuraikan tanpa adanya proses-proses seperti Lompatan Jauh ke Depan, Revolusi Kebudayaan dan Reformasi Ekonomi. Keberhasilan reformasi ekonomi membuat GDP China semakin meningkat sehingga membuatnya mempunyai anggaran yang cukup untuk meningkatkan kapabilitas militernya. 2.1 Kebangkitan Ekonomi dan Sosial China RRC (Republik Rakyat China) pertama kali diproklamasikan oleh Mao Zedong pada 1 Oktober 1949 di lapangan Tiananmen. Pada masa pemerintahannya Mao menggunakan praktek Lompatan Jauh ke Depan dan Revolusi Kebudayaan. Praktek Lompatan Jauh ke Depan dilakukan Mao untuk meniru model pembangunan Uni Soviet agar terbentuk masyarakat yang terkonstruktur, tumbuhnya birokrasi dalam pemerintahan, organisasi militer profesional.1 Praktek Lompatan Jauh ke Depan dan Revolusi Kebudayaan yang dilakukan oleh Mao tersebut mengalami kegagalan. Kegagalan tersebut kemudian membuat China melakukan reformasi ekonomi yang dilakukan oleh Deng Xiaoping. Reformasi yang dilakukan oleh Deng membuat perekonomian China 1Mao Zedong 1893-19, diakses pada http://www.bbc.co.uk/history/historic_figures/mao_zedong.shtml (10/09/2016. 00:07 WIB) 21 meningkat dan juga China lebih terbuka dalam melakukan kerjasama dengan negara lain.2 2.1.1 Lompatan Jauh ke Depan Lompatan Jauh ke Depan (The Great Leap Forward) terjadi pada tahun 1958 merupakan kampanye yang bertujuan untuk membangkitkan ekonomi China melalui industrialisasi secara besar-besaran dibidang industri baja sebagai prioritas utama. Secara prinsip, Mao ingin meningkatkan produksi baja, industri ringan, dan konstruksi secara besar-besaran serta pengerahan tenaga rakyat secara besar-besaran. Rakyat disatukan menjadi komune dan disalurkan untuk bekerja di pabrik-pabrik pemerintahan. -
Positioning: Drift Orbit and Station Acquisition
Orbits Supplement GEOSTATIONARY ORBIT PERTURBATIONS INFLUENCE OF ASPHERICITY OF THE EARTH: The gravitational potential of the Earth is no longer µ/r, but varies with longitude. A tangential acceleration is created, depending on the longitudinal location of the satellite, with four points of stable equilibrium: two stable equilibrium points (L 75° E, 105° W) two unstable equilibrium points ( 15° W, 162° E) This tangential acceleration causes a drift of the satellite longitude. Longitudinal drift d'/dt in terms of the longitude about a point of stable equilibrium expresses as: (d/dt)2 - k cos 2 = constant Orbits Supplement GEO PERTURBATIONS (CONT'D) INFLUENCE OF EARTH ASPHERICITY VARIATION IN THE LONGITUDINAL ACCELERATION OF A GEOSTATIONARY SATELLITE: Orbits Supplement GEO PERTURBATIONS (CONT'D) INFLUENCE OF SUN & MOON ATTRACTION Gravitational attraction by the sun and moon causes the satellite orbital inclination to change with time. The evolution of the inclination vector is mainly a combination of variations: period 13.66 days with 0.0035° amplitude period 182.65 days with 0.023° amplitude long term drift The long term drift is given by: -4 dix/dt = H = (-3.6 sin M) 10 ° /day -4 diy/dt = K = (23.4 +.2.7 cos M) 10 °/day where M is the moon ascending node longitude: M = 12.111 -0.052954 T (T: days from 1/1/1950) 2 2 2 2 cos d = H / (H + K ); i/t = (H + K ) Depending on time within the 18 year period of M d varies from 81.1° to 98.9° i/t varies from 0.75°/year to 0.95°/year Orbits Supplement GEO PERTURBATIONS (CONT'D) INFLUENCE OF SUN RADIATION PRESSURE Due to sun radiation pressure, eccentricity arises: EFFECT OF NON-ZERO ECCENTRICITY L = difference between longitude of geostationary satellite and geosynchronous satellite (24 hour period orbit with e0) With non-zero eccentricity the satellite track undergoes a periodic motion about the subsatellite point at perigee. -
2010 Commercial Space Transportation Forecasts
2010 Commercial Space Transportation Forecasts May 2010 FAA Commercial Space Transportation (AST) and the Commercial Space Transportation Advisory Committee (COMSTAC) HQ-101151.INDD 2010 Commercial Space Transportation Forecasts About the Office of Commercial Space Transportation The Federal Aviation Administration’s Office of Commercial Space Transportation (FAA/AST) licenses and regulates U.S. commercial space launch and reentry activity, as well as the operation of non-federal launch and reentry sites, as authorized by Executive Order 12465 and Title 49 United States Code, Subtitle IX, Chapter 701 (formerly the Commercial Space Launch Act). FAA/AST’s mission is to ensure public health and safety and the safety of property while protecting the national security and foreign policy interests of the United States during commercial launch and reentry operations. In addition, FAA/AST is directed to encourage, facilitate, and promote commercial space launches and reentries. Additional information concerning commercial space transportation can be found on FAA/AST’s web site at http://ast.faa.gov. Cover: Art by John Sloan (2010) NOTICE Use of trade names or names of manufacturers in this document does not constitute an official endorsement of such products or manufacturers, either expressed or implied, by the Federal Aviation Administration. • i • Federal Aviation Administration / Commercial Space Transportation Table of Contents Executive Summary . 1 Introduction . 4 About the CoMStAC GSo Forecast . .4 About the FAA NGSo Forecast . .4 ChAracteriStics oF the CommerCiAl Space transportAtioN MArket . .5 Demand ForecastS . .5 COMSTAC 2010 Commercial Geosynchronous Orbit (GSO) Launch Demand Forecast . 7 exeCutive Summary . .7 BackGround . .9 Forecast MethoDoloGy . .9 CoMStAC CommerCiAl GSo Launch Demand Forecast reSultS . -
Orbital Inclination and Eccentricity Oscillations in Our Solar
Long term orbital inclination and eccentricity oscillations of the planets in our solar system Abstract The orbits of the planets in our solar system are not in the same plane, therefore natural torques stemming from Newton’s gravitational forces exist to pull them all back to the same plane. This causes the inclinations of the planet orbits to oscillate with potentially long periods and very small damping, because the friction in space is very small. Orbital inclination changes are known for some planets in terms of current rates of change, but the oscillation periods are not well published. They can however be predicted with proper dynamic simulations of the solar system. A three-dimensional dynamic simulation was developed for our solar system capable of handling 12 objects, where all objects affect all other objects. Each object was considered to be a point mass which proved to be an adequate approximation for this study. Initial orbital radii, eccentricities and speeds were set according to known values. The validity of the simulation was demonstrated in terms of short term characteristics such as sidereal periods of planets as well as long term characteristics such as the orbital inclination and eccentricity oscillation periods of Jupiter and Saturn. A significantly more accurate result, than given on approximate analytical grounds in a well-known solar system dynamics textbook, was found for the latter period. Empirical formulas were developed from the simulation results for both these periods for three-object solar type systems. They are very accurate for the Sun, Jupiter and Saturn as well as for some other comparable systems. -
Sun-Synchronous Satellites
Topic: Sun-synchronous Satellites Course: Remote Sensing and GIS (CC-11) M.A. Geography (Sem.-3) By Dr. Md. Nazim Professor, Department of Geography Patna College, Patna University Lecture-3 Concept: Orbits and their Types: Any object that moves around the Earth has an orbit. An orbit is the path that a satellite follows as it revolves round the Earth. The plane in which a satellite always moves is called the orbital plane and the time taken for completing one orbit is called orbital period. Orbit is defined by the following three factors: 1. Shape of the orbit, which can be either circular or elliptical depending upon the eccentricity that gives the shape of the orbit, 2. Altitude of the orbit which remains constant for a circular orbit but changes continuously for an elliptical orbit, and 3. Angle that an orbital plane makes with the equator. Depending upon the angle between the orbital plane and equator, orbits can be categorised into three types - equatorial, inclined and polar orbits. Different orbits serve different purposes. Each has its own advantages and disadvantages. There are several types of orbits: 1. Polar 2. Sunsynchronous and 3. Geosynchronous Field of View (FOV) is the total view angle of the camera, which defines the swath. When a satellite revolves around the Earth, the sensor observes a certain portion of the Earth’s surface. Swath or swath width is the area (strip of land of Earth surface) which a sensor observes during its orbital motion. Swaths vary from one sensor to another but are generally higher for space borne sensors (ranging between tens and hundreds of kilometers wide) in comparison to airborne sensors. -
The European Launchers Between Commerce and Geopolitics
The European Launchers between Commerce and Geopolitics Report 56 March 2016 Marco Aliberti Matteo Tugnoli Short title: ESPI Report 56 ISSN: 2218-0931 (print), 2076-6688 (online) Published in March 2016 Editor and publisher: European Space Policy Institute, ESPI Schwarzenbergplatz 6 • 1030 Vienna • Austria http://www.espi.or.at Tel. +43 1 7181118-0; Fax -99 Rights reserved – No part of this report may be reproduced or transmitted in any form or for any purpose with- out permission from ESPI. Citations and extracts to be published by other means are subject to mentioning “Source: ESPI Report 56; March 2016. 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, inciden- tal or consequential, resulting from the information contained in this publication. Design: Panthera.cc ESPI Report 56 2 March 2016 The European Launchers between Commerce and Geopolitics Table of Contents Executive Summary 5 1. Introduction 10 1.1 Access to Space at the Nexus of Commerce and Geopolitics 10 1.2 Objectives of the Report 12 1.3 Methodology and Structure 12 2. Access to Space in Europe 14 2.1 European Launchers: from Political Autonomy to Market Dominance 14 2.1.1 The Quest for European Independent Access to Space 14 2.1.3 European Launchers: the Current Family 16 2.1.3 The Working System: Launcher Strategy, Development and Exploitation 19 2.2 Preparing for the Future: the 2014 ESA Ministerial Council 22 2.2.1 The Path to the Ministerial 22 2.2.2 A Look at Europe’s Future Launchers and Infrastructure 26 2.2.3 A Revolution in Governance 30 3. -
Commercial Space Transportation Year in Review
Associate Administrator for Commercial Space Transportation (AST) January 2001 COMMERCIAL SPACE TRANSPORTATION: 2000 YEAR IN REVIEW Cover Photo Credits (from left): International Launch Services (2000). Image is of the Atlas 3A launch on May 24, 2000, from Cape Canaveral Air Force Station. It successfully orbited the Eutelsat W4 communications satellite for Eutelsat. Boeing Corporation (1999). Image is of the Delta 2 7420 launch on July 10, 1999, Cape Canaveral Air Force Station. It successfully orbited four Globalstar communications satellites for Globalstar, Inc. Orbital Sciences Corp. (1997). Image is of the Pegasus XL that launched August 1, 1997 and deployed the Orbview 2 (Seastar) remote sensing satellite. Sea Launch (1999). Image is of the inaugural Zenit 3SL launch on March 27, 1999, from the Odyssey Sea Launch Platform. 2000 YEAR IN REVIEW INTRODUCTION INTRODUCTION In 2000, there were ten commercial launches 3A vehicle, which deployed a communications licensed by the Federal Aviation Administration spacecraft for Eutelsat. (FAA) for revenue that totaled about $625 million. This total represents seven launches Several new commercial space applications from U.S. ranges for commercial and contributed to the worldwide commercial launch government customers plus three launches by the total. Three Proton rockets deployed satellites multinational Sea Launch venture. for Sirius Satellite Radio, a company that will offer direct radio broadcast services to the United Overall, 35 worldwide commercial launches States. Three Soyuz vehicles carried cargo and a occurred in 2000. This number is slightly less cosmonaut crew to the Mir space station with than prior years (39 in 1999 and 41 in 1998). private financing from MirCorp, a company that However, the U.S. -
Satellite Orbits
2 Satellite Orbits Learning Objectives After completing this chapter you will be able to understand: y Kepler’s laws. y Determination of orbital parameters. y Eclipse of satellite. y Effects of orbital perturbations on communications. y Launching of satellites into the geostationary orbit. Chapter-02.indd 25 9/3/2009 11:09:29 AM Satellite Orbits 27 The closer the satellite to the earth, the stronger is the effect of earth’s gravitational pull. So, in low orbits, the satellite must travel faster to avoid falling back to the earth. The farther the satellite from the earth, the lower is its orbital speed. The lowest practical earth orbit is approximately 168.3 km. At this height, the satellite speed must be approximately 29,452.5 km/hr in order to stay in orbit. With this speed, the satellite orbits the earth in approximately one and half hours. Communication satellites are usually much farther from the earth, for example, 36,000 km. At this distance, a satellite need to travel only about 11,444.4 km/hr in order to stay in the orbit with a rotation speed of 24 hours. A satellite revolves in an orbit that forms a plane, which passes through the centre of gravity of the earth or geocenter. The direction of the satellite’s revolution may be either in same the direction as earth’s rotation or against the direction of the earth’s rotation. In the former case, the orbit is said to be posigrade and in the latter case, the retrograde. Most orbits are posigrade.