Lunar and Planetary Information Bulletin, Issue 98
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Low-Energy Lunar Trajectory Design
LOW-ENERGY LUNAR TRAJECTORY DESIGN Jeffrey S. Parker and Rodney L. Anderson Jet Propulsion Laboratory Pasadena, California July 2013 ii DEEP SPACE COMMUNICATIONS AND NAVIGATION SERIES Issued by the Deep Space Communications and Navigation Systems Center of Excellence Jet Propulsion Laboratory California Institute of Technology Joseph H. Yuen, Editor-in-Chief Published Titles in this Series Radiometric Tracking Techniques for Deep-Space Navigation Catherine L. Thornton and James S. Border Formulation for Observed and Computed Values of Deep Space Network Data Types for Navigation Theodore D. Moyer Bandwidth-Efficient Digital Modulation with Application to Deep-Space Communication Marvin K. Simon Large Antennas of the Deep Space Network William A. Imbriale Antenna Arraying Techniques in the Deep Space Network David H. Rogstad, Alexander Mileant, and Timothy T. Pham Radio Occultations Using Earth Satellites: A Wave Theory Treatment William G. Melbourne Deep Space Optical Communications Hamid Hemmati, Editor Spaceborne Antennas for Planetary Exploration William A. Imbriale, Editor Autonomous Software-Defined Radio Receivers for Deep Space Applications Jon Hamkins and Marvin K. Simon, Editors Low-Noise Systems in the Deep Space Network Macgregor S. Reid, Editor Coupled-Oscillator Based Active-Array Antennas Ronald J. Pogorzelski and Apostolos Georgiadis Low-Energy Lunar Trajectory Design Jeffrey S. Parker and Rodney L. Anderson LOW-ENERGY LUNAR TRAJECTORY DESIGN Jeffrey S. Parker and Rodney L. Anderson Jet Propulsion Laboratory Pasadena, California July 2013 iv Low-Energy Lunar Trajectory Design July 2013 Jeffrey Parker: I dedicate the majority of this book to my wife Jen, my best friend and greatest support throughout the development of this book and always. -
Issue 106, May 2006
37 th Lunar and Planetary Science Conference THE CONFERENCE IN REVIEW Attendance at the 37th Lunar and Planetary Science Conference (LPSC) set yet another record for this conference, with 1546 participants from 24 countries attending the meeting held at the South Shore Harbour Resort and Conference Center in League City, Texas, on March 13–17, 2006 (see inset for attendance statistics). Rearrangement of the confi guration of the meeting rooms, along with additional overfl ow seating, allowed conference organizers and staff to accommodate the marked increase in attendance, thereby being able to maintain the current meeting venue and hence the low registration fee, which enables the high number of student attendees. LPSC continues to be recognized among the international science community as the most important planetary conference in the world, and this year’s meeting substantiated the merit of that reputation. More than 1400 abstracts were submitted in consideration for presentation at the conference, and hundreds of planetary scientists and students attended both oral and poster sessions focusing on such diverse topics as the Moon, Mars, Mercury, and Venus; outer planets and satellites; meteorites; comets, asteroids, and other small bodies; Limpacts; interplanetary dust particles and presolar grains; origins of planetary systems; planetary formation and early evolution; and astrobiology. Sunday night’s registration and reception were again held at the Center for Advanced Space Studies, which houses the Lunar and Planetary Institute. Featured on Sunday night was an open house for the display of education and public outreach activities and programs. Highlights of the conference program, established by the program committee under the guidance of co-chairs Dr. -
Finding a New Route to the Moon Using Paintings
Bridges 2009: Mathematics, Music, Art, Architecture, Culture Finding a New Route to the Moon using Paintings Edward Belbruno Department of Astrophysical Sciences Princeton University Princeton, NJ, 08540, USA E-mail: [email protected] Abstract A new theory of space travel using low energy chaotic trajectories was dramatically demonstrated in 1991 with the rescue of a Japanese lunar mission, getting its spacecraft, Hiten, to the Moon on a different type of route. The design of this route and the theory behind it is based on finding regions of instability about the Moon. This approach to space travel was inspired by a painting of the Earth-Moon system which revealed these regions and the new chaotic trajectories. The brush strokes in the painting revealed the dynamics of motion which are verified by the computer. The painting itself can be used as a way to uncover dynamics in the field of celestial mechanics that cannot be easily found my standard mathematical methods. A New Approach to Space Travel The classical route from the Earth to the Moon uses the Hohmann transfer, named after the German engineer Walter Hohmann [1]. Let’s assume a spacecraft is to go from a circular orbit about the Earth to a circular orbit about the Moon. The Hohmann transfer is a nearly straight path, actually half of a highly eccentric ellipse, from the circular orbit about the Earth to the circular orbit about the Moon. To leave the orbit about the Earth, the spacecraft briefly fires its engines to gain the necessary velocity, then coasts to the Moon in three days. -
Newsletter 14-2 Published on Division for Planetary Sciences (
Newsletter 14-2 Published on Division for Planetary Sciences (https://dps.aas.org) Newsletter 14-2 Issue 14-2, January 22, 2014 +-----------------------------CONTENTS--------------------------------+ 1) NOTE FROM THE CHAIR 2) MESSAGE FROM THE FEDERAL RELATIONS SUBCOMMITTEE (FRS) CHAIR 3) REMINDER: CALL FOR DPS 2014 PRIZE NOMINATIONS 4) REMINDER : 2014 ONLINE MEMBERSHIP RENEWALS 5) CALL FOR MISSION CONCEPTS FOR THE LARGE-SIZE 'L2' MISSION OPPORTUNITY IN ESA'S SCIENCE PROGRAMME 6) DRAFT SOLICITATIONS OF SOME PSD R&A SOLICITATIONS FOR ROSES14 RELEASED TO PUBLIC 7) MARS CRITICAL DATA PRODUCTS PROGRAM (ROUND IX) 8) JOBS/POSITIONS OPPORTUNITIES 9) UPCOMING MEETINGS +---------------------------------------------------------------------+ 1---------1---------1---------1---------1---------1---------1---------1---------1 NOTE FROM THE CHAIR Washington DC may be currently covered in snow, but warm fuzzies abound here as a 2014 budget has passed into law (more details in the note below from the Federal Relations Subcommittee). Take a deep breath, and think about our DPS community’s successes. We’ve secured $1.3 Billion dollars to do planetary exploration. Our missions are healthy: Cassini, Curiosity, MESSENGER, JUNO, and more. ESA’s ROSETTA mission successfully reawakened from hibernation, ready to go comet hunting. Europa got a big boost with the news from the Hubble Space Telescope hinting at tidally-driven water geysers. What have you done to share this news with your family, your community, your representatives in Washington? Drop me a line; I’d like to share some of your stories. Regarding NASA’s R&A reorganization, please communicate your thoughts with the members of the Planetary Science Subcommittee (PSS), as well as the members of the various assessment groups (OPAG, SBAG, VEXAG, MEPAG, LEAG, etc). -
75 Years the Courant Institute of Mathematical Sciences at New York University
Celebrating 75 Years The Courant Institute of Mathematical Sciences at New York University The ultimate goal should be “a strong and many-sided institution… which carries on research and educational work, not only in the pure and abstract mathematics, but also emphasizes the connection between mathematics and other fields [such] as physics, engineering, possibly biology and economics.” — Richard Courant, 1936 Inevitably, much has changed over the past 75 years, most notably the advent of computers, which are now central to much of our activities. Nonetheless, viewed broadly, this statement continues to characterize our research mission, as illustrated by the research profiles in each issue of the newsletter. 75th Anniversary Courant Lectures As a part of the Courant Institute’s 75th Anniversary celebrations, over 250 Courant Institute faculty, students, Spring / Summer 2011 8, No. 2 Volume alumni and friends gathered at Warren Weaver Hall for the Courant Lectures on April 7th. The talk was given by Persi Diaconis, Mary V. Sunseri Professor of Statistics and Mathematics and Stanford University. In the talk, “The In this Issue: Search for Randomness,” Prof. Diaconis gave “a careful look at some of our most primitive images of random 75th Anniversary Courant phenomena: tossing a coin, rolling a roulette ball, and Lectures 1 shuffling cards.” As stated by Prof. Diaconis, “Experiments and theory show that, while these can produce random Assaf Naor 2–3 outcomes, usually we are lazy and things are far off. Marsha Berger 4–5 Connections to the use (and misuse) of statistical models 2011 Courant Institute and the need for randomness in scientific computing Student Prizes 5 emerge.” The lecture was followed by a more technical Alex Barnett 6–7 lecture on April 8th, “Mathematical Analysis of ‘Hit and Photo: Mathieu Asselin Run’ Algorithms.” n Faculy Honors 8 Leslie Greengard and Persi Diaconis The Bi-Annual 24-Hour Hackathon 8 Puzzle, Spring 2011: This past Fall the construction on Warren Weaver Hall’s Mercer-side entrance was The Bermuda Yacht Race 9 completed. -
ASTROBIOLOGY ASTROBIOLOGY: an Introduction
Physics SERIES IN ASTRONOMY AND ASTROPHYSICS LONGSTAFF SERIES IN ASTRONOMY AND ASTROPHYSICS SERIES EDITORS: M BIRKINSHAW, J SILK, AND G FULLER ASTROBIOLOGY ASTROBIOLOGY ASTROBIOLOGY: An Introduction Astrobiology is a multidisciplinary pursuit that in various guises encompasses astronomy, chemistry, planetary and Earth sciences, and biology. It relies on mathematical, statistical, and computer modeling for theory, and space science, engineering, and computing to implement observational and experimental work. Consequently, when studying astrobiology, a broad scientific canvas is needed. For example, it is now clear that the Earth operates as a system; it is no longer appropriate to think in terms of geology, oceans, atmosphere, and life as being separate. Reflecting this multiscience approach, Astrobiology: An Introduction • Covers topics such as stellar evolution, cosmic chemistry, planet formation, habitable zones, terrestrial biochemistry, and exoplanetary systems An Introduction • Discusses the origin, evolution, distribution, and future of life in the universe in an accessible manner, sparing calculus, curly arrow chemistry, and modeling details • Contains problems and worked examples and includes a solutions manual with qualifying course adoption Astrobiology: An Introduction provides a full introduction to astrobiology suitable for university students at all levels. ASTROBIOLOGY An Introduction ALAN LONGSTAFF K13515 ISBN: 978-1-4398-7576-6 90000 9 781439 875766 K13515_COVER_final.indd 1 10/10/14 2:15 PM ASTROBIOLOGY An Introduction -
Planète 1 Planète
Planète 1 Planète Une planète est un corps céleste orbitant autour du Soleil ou d'une autre étoile de l'Univers et possédant une masse suffisante pour que sa gravité la maintienne en équilibre hydrostatique, c'est-à-dire sous une forme presque sphérique. La définition scientifique rigoureuse, d'une part veut qu'on réserve le nom de « planète » aux objets du système solaire (dans les autres cas, on parle d'exoplanètes), d'autre part exige que ce corps céleste ait éliminé tout corps rival se déplaçant sur une orbite proche (cela peut signifier soit en faire un de ses satellites, soit provoquer sa destruction par collision). Ce dernier critère ne s'applique pas aux exoplanètes[1] . On estime que le nombre de planètes dans notre seule galaxie est de 1000 milliards[2] . Selon cette définition (qui fut approuvée le 24 août 2006 en clôture de la 26e Assemblée Générale de l'Union astronomique internationale (UAI) huit planètes ont été recensées dans le système solaire : Mercure, Vénus, la Terre, Mars, Jupiter, Saturne, Uranus et Neptune (les quatre premières étant des planètes telluriques alors que les quatre suivantes sont des géantes gazeuses). En même temps que la définition d'une planète était clarifiée, l'UAI définissait comme étant une planète naine un objet céleste répondant à tous les critères, sauf l'élimination des corps sur une orbite proche. Contrairement à ce que suggère l'usage habituel d'un adjectif, une planète naine n'est pas une planète. On compte actuellement cinq planètes naines dans le système solaire : Cérès, Pluton, Makemake, Haumea et Éris[3] . -
The Planetary Report December Solstice 2011 Volume 31, Number 5
THE PLANETARY REPORT DECEMBER SOLSTICE 2011 VOLUME 31, NUMBER 5 www.planetary.org REMEMBERING THE YEAR IN PICTURES NEW (OLD) VENUS IMAGES C POLITICAL ACTION 2011 UPDATE C SHOEMAKER GRANT RECIPIENTS SNAPSHOTS FROM SPACE EMILY STEWART LAKDAWALLA blogs at planetary.org/blog. New images, old camera 1975 was a good-looking year for Venus VENERA 9 BECAME THE FIRST ARTIFICIAL satellite of Venus, and its lander was the first to photograph Venus’ surface, on October 20, 1975. One of its two cameras, a line-scanner that rotated in order to build a complete image, returned two views of a rock-strewn hillside. The scanner was angled from the spacecraft’s body, so this panorama shows the horizon at its edges and the Images: Russian Academy of Sciences/Don Mitchell Sciences/Don of Academy Russian Images: ground in front of the lander at its center. This view was reconstructed by Don Mitchell from data on tapes exchanged between the Soviet Union and Brown University. More recently, digital data have become available online, and Mitchell used those data to reconstruct a view of Venus (at right) captured by the Venera 9 orbiter on December 11, 1975. For more Venera photos, visit Mitchell’s website at MENTALLANDSCAPE.COM. —Emily Stewart Lakdawalla LEARN MORE ABOUT THIS IMAGE PLANETARY.ORG/SNAPSHOTS DIS COVER MORE ABOUT AMATEUR IMAGE PROCESSING PLANETARY.ORG/PROGRAMS/PROJECTS/AMATEUR SEE MORE EVERY DAY! PLANETARY.ORG/BLOG CONTACT US The Planetary Society 85 South Grand Avenue Pasadena, CA 91105-1602 General Calls: 626-793-5100 E-mail: [email protected] Internet: planetary.org 2 THE PLANETARY REPORT C DECEMBER SOLSTICE 2011 SNAPSHOTS FROM SPACE CONTENTS DECEMBER SOLSTICE 2011 The Year in Pictures Stunning photography of breakthroughs 6 in space science from the the past year. -
The Planetary Report, Page 10)
On the Cover: Volume XIX Not all ice is water. Not all water is on Earth. These are the first Table of Number 2 I. insights to come from studying th e various 'ices in our solar system. Comets, such as Hale-Bopp ~nset), are made primarily of Contents March/April1999 water ice, but frozen carbon dioxide often makes up a substantial part of a comet nu cleus . The Martian north polar cap (3~ back ground image, exaggerated vertically to show detail) is primarily frozen water, but the southern cap on Mars is mostly frozen carbon dioxide. The larg est of Jupiter's moo ns, Ganymede (full disk) , is Features bigger than the planet Mercury. Still, in composition, it is roughly half water ice, making it a truly giant snowball in space. 4 Grand Challenges for Space Exploration It's not often that a government official gets to layout a vision for the future that goes Hale-8opp image: Jerzy Giergielewicz Mars: MSSSlNASA beyond the next election cycle. But Wes Huntress, who recently stepped down as NASA's Ganymede: JPUNASA Associate Administrator for Space Science, did just that in a speech accepting the Carl Sagan Medal of the American Astronomical Society. Wes' text was far-ranging and detailed, and we had space in the printed magazine for only highlights of his talk. But the beauty of digital media is th at you can squeeze a lot of text into a little space. The full text is available Froln at the Planetary Society's World Wide Web site. S "Ices" Throughout the Solar Systenl: The A Tour of Condensable Species Editor Water is abundant throughout our solar system and probably in other solar systems as well. -
Shoot the Moonh Wang Sang Koont, Martin W
AAS 00-166 Shoot the MoonH Wang Sang Koont, Martin W. Lo’, Jerrold E. Marsdent, Shane D. Rosst Abstract In 1991, the Japanese Hitenmission used a low energytransfer with a ballisticcapture at the Moon which required less AV thana standard Hohmann transfer to the Moon. In this paper, we apply the same dynamical systems techniques used to produce the “Petit Grand Tour”of Jovian moons to reproduceHiten-likea mission. We decouple the Sun-Earth-Moon- Spacecraft4-body problem into two 3-body problems. Using theinvariant manifold theory of the Lagrange points of the 3-body systems, we are able to construct low energy transfer trajectories from the Earth and ballistic capture trajectories at the Moon. The techniques used in the design and construction of this trajectory may be appliedin many situations. 1. Introduction In this paper, weapply the same dynamical systems techniques used to producethe “Petit Grand Tour” of Jovian moons to reproduce a Hiten-like mission (Ref. 1). In 1991, the Japanese Hiten mission used a low energy transfer with a ballistic capture at the Moon based on the work of Belbruno and Miller (Ref. 2) on the Weak Stability Boundary theory (WSB). Discussions at the “Advances in NonlinearAstrodynamics Conference” in 1993 (Ref. 3) producedthe generally- accpeted view that the WSB is generated by the invariant manifold structure of the Lagrange points of the Sun-Earth and Earth-Moon systems. Belbruno documents his conjectures on the structure of the WSB in Ref. 4. The three key ideas of our approach to “Shoot the Moon”are: 1 .) Treat the Sun-Earth-Moon-Spacecraft 4-body problem as two coupled circular restricted 3-body problems, Sun-Earth and Earth-Moonsystems; 2.) Use the unstable manifolds of periodic orbits about the Sun-Earth Lagrange points to provide a low energy transfer from Earth to the stable manifolds of periodic orbits around the Earth-Moon Lagrange points; 3.) Use the stable manifolds of the periodic orbits around the Earth-Moon Lagrange points to provide a ballistic capture about the Moon. -
The Planetary Report June Solstice 2012 Volume 32, Number 2
THE PLANETARY REPORT JUNE SOLSTICE 2012 VOLUME 32, NUMBER 2 www.planetary.org DARK SKIES? LIGHT POLLUTION IS OBSCURING OUR VIEW OF THE STARS REMEMBERING RAY C ENTRY, DESCENT, AND LANDING C FISCAL YEAR 2011 ANNUAL REPORT SNAPSHOTS FROM SPACE EMILY STEWART LAKDAWALLA blogs at planetary.org/blog. Image: NASA/JPL/SSI/Gordan Ugarkovic Image: NASA/JPL/SSI/Gordan Saturn’s two largest moons Color cameras shine on board Cassini HAZE-SHROUDED TITAN SITS BEHIND ICY RHEA in a view captured by Cassini on November 19, 2009. Titan is almost exactly twice as far from Cassini as Rhea is, so Rhea’s size is exaggerated by a factor of two. Cassini takes “mutual event” photos featuring two or more moons in order to provide precise positional information for determining the moons’ orbits. Late in 2009, Cassini’s engineers switched from taking mutual event pictures in black and white to using the red, green, and blue filters necessary for composing color images. The result has been an explosion in the number of beautiful images like this one, of orange Titan (outlined in blue haze), yellow Saturn, and ocher rings paired with gray-brown moons. —Emily Stewart Lakdawalla CONTACT US LEARN MORE ABOUT THIS IMAGE PLANETARY.ORG/SNAPSHOTS The Planetary Society 85 South Grand Avenue Pasadena, CA 91105-1602 SEE MORE EVERY DAY! PLANETARY.ORG/BLOG General Calls: 626-793-5100 E-mail: [email protected] Internet: planetary.org 2 THE PLANETARY REPORT C JUNE SOLSTICE 2012 SNAPSHOTS FROM SPACE CONTENTS JUNE SOLSTICE 2012 In Memoriam 6 Louis Friedman reflects on the death of a longtime friend. -
Physics & Astrophysics 2014
Physics & Astrophysics 2014 press.princeton.edu Contents In a Nutshell 1 Princeton Frontiers in Physics 3 Graduate & Undergraduate Textbooks 4 Astronomy & Astrophysics 6 Princeton Series in Astrophysics 8 Princeton Series in Modern Observational Astronomy 10 Physics 10 Princeton Series in Physics 13 Quantum Physics 14 Condensed Matter 15 Landmarks in Mathematics & Physics 15 Mathematics, Mathematical Physics & Engineering 16 Science Essentials 17 Princeton Primers in Climate 18 Of Related Interest 20 Albert Einstein 22 Princeton Science Library 24 Index | Order Form 25 Cover illustration from the jacket of Why You Hear What You Hear, copyright 2012 Eric J. Heller What’s In a Nutshell? More of the best science than ever. In a Nutshell is a series of concise, accessible, and up-to- date textbooks for advanced undergraduates and graduate students on key subjects in the physical sciences. Part of Princeton University Press’s expanding presence in science textbook publishing, this high-pro le series will bring out the highest quality texts on subjects ranging from astrophysics, nuclear physics, and string the- ory, to particle physics, neutrino physics, electromagnetism, and magnetism. Crack open one of this season’s new titles to nd out just how much science ts In a Nutshell. New Elementary Particle Classical Einstein Gravity in Physics in a Nutshell Electromagnetism a Nutshell Christopher G. Tully in a Nutshell A. Zee “This is a remarkable book in its Anupam Garg “Einstein Gravity in a Nutshell breadth and depth, with many “This text provides a fresh, modern is a remarkably complete and beautiful and useful things in it. It look at electrodynamics.