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Nonlinear Mixed Integer Based Optimization Technique for Space Applications
Nonlinear mixed integer based Optimization Technique for Space Applications by Martin Schlueter A thesis submitted to The University of Birmingham for the degree of Doctor of Philosophy School of Mathematics The University of Birmingham May 2012 University of Birmingham Research Archive e-theses repository This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder. Abstract In this thesis a new algorithm for mixed integer nonlinear programming (MINLP) is developed and applied to several real world applications with special focus on space ap- plications. The algorithm is based on two main components, which are an extension of the Ant Colony Optimization metaheuristic and the Oracle Penalty Method for con- straint handling. A sophisticated implementation (named MIDACO) of the algorithm is used to numerically demonstrate the usefulness and performance capabilities of the here developed novel approach on MINLP. An extensive amount of numerical results on both, comprehensive sets of benchmark problems (with up to 100 test instances) and several real world applications, are presented and compared to results obtained by concurrent methods. It can be shown, that the here developed approach is not only fully competi- tive with established MINLP algorithms, but is even able to outperform those regarding global optimization capabilities and cpu runtime performance. -
Near-Earth Asteroid 2012 TC4 Observing Campaign Results From
Icarus 326 (2019) 133–150 Contents lists available at ScienceDirect Icarus journal homepage: www.elsevier.com/locate/icarus Near-Earth asteroid 2012 TC4 observing campaign: Results from a global T planetary defense exercise ⁎ Vishnu Reddya, , Michael S. Kelleyb, Davide Farnocchiac, William H. Ryand, Cristina A. Thomase, Lance A.M. Bennerc, Jessie Dotsonf, Marco Michelig, Melissa J. Bruckera, Schelte J. Bush, Marina Brozovicc, Lorien Wheeleri, Viqar Abbasij, James M. Bauerk, Amber Bonsalll, Zarah L. Browna, Michael W. Buschm, Paul Chodasc, Young-Jun Choin,o, Nicolas Erasmusp, Kelly E. Fastb, John P. Faucherq, Rachel B. Fernandesa, Frank D. Ghigol, David G. Gilbankp, Jon D. Giorginic, Annika Gustafssone, Olivier Hainautr, Walter M. Harrisa, Joseph S. Jaoc, Lindley S. Johnsonb, Theodore Karetaa, Myung-Jin Kimn, Detlef Koschnys, Emily A. Kramerc, Rob R. Landisb, Denis G. Laurinj, Jeffrey A. Larsenq, Clement G. Leec, Cassandra Lejolya, Tim Listert, Robert McMillana, Joseph R. Masieroc, Donovan Mathiasu, Michael Mommertv, Hong-Kyu Moonw, Nicholas A. Moskovitzx, Shantanu P. Naiduc, Ravi Teja Nallapuy, Haris Khan Niaziz, John W. Noonana, David Polishookaa, Eileen V. Ryand, Lauren Schatzab, James V. Scottia, Benjamin Sharkeya, Boris M. Shustovac, Amanda A. Sickafoosep,ad, Marc A. Silvaae, Martin A. Sladec, Lindsay R. Slicka, Lawrence G. Snedekerae, Alessondra Springmanna, David Tholenaf, David E. Trillinge,p, Alberto Q. Vodnizaag, Richard Wainscoataf, Robert Werykaf, Makoto Yoshikawaah a Lunar and Planetary Laboratory, University of Arizona, 1629 E University Blvd, Tucson, AZ 85721, USA b Planetary Defense Coordination Office, Planetary Science Division, NASA Headquarters, 300 E St SW, Washington, DC20546,USA c Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109, USA d Magdalena Ridge Observatory, New Mexico Tech, 801 Leroy Place, Socorro, NM 87801, USA e Dept. -
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. -
Download Space Rocks Powerpoint Script
Space Rocks Suggested Script PRESENTATION NOTES This presentation can take from 20 minutes up to 45 minutes, depending on how many Optional Presentation Activities are included. Recommended for 7th grade to adult. (Use more activities with younger audiences) 1. What our smallest neighbors may be lacking in size, they make up for in their dynamic nature. Shown here are all of the asteroids and comets imaged up-close as of June 2010. The picture below shows their names. See a larger version here: http://www.planetary.org/blog/article/00002585/ - 1 - 2. Today we'll be talking about asteroids. Most asteroids orbit the Sun in the Asteroid Belt, between the orbits of Mars and Jupiter. Images like these show the location of the Asteroid Belt but can be confusing because it appears that the Asteroid Belt is littered with asteroids. In fact, on this scale, all of the asteroids and even the planets would be too small to see. ---- Credit: Lunar and Planetary Institute 3. Let's start at the very beginning. 4.6 billion years ago the Solar Nebula swirled from its own gravity. As it collapsed, planets began to form around the new Sun. In the region between Marsʼs and Jupiter's orbits, Jupiterʼs gravity pulled on the small objects. Instead of pieces slowly coming together and sticking due to their gravity, wild collisions sent primitive asteroids flying out of their orbits or smashing each other to bits. No large planets ever formed in this region. Models indicate the Asteroid Belt may have originally contained as much mass as Earth, but spread out in many small “proto-planets.” The Solar System calmed down by 3.8 billion years ago, after what astronomers call the Late Heavy Bombardment phase. -
The Minor Planet Bulletin (Warner Et 2010 JL33
THE MINOR PLANET BULLETIN OF THE MINOR PLANETS SECTION OF THE BULLETIN ASSOCIATION OF LUNAR AND PLANETARY OBSERVERS VOLUME 38, NUMBER 3, A.D. 2011 JULY-SEPTEMBER 127. ROTATION PERIOD DETERMINATION FOR 280 PHILIA – the lightcurve more readable these have been reduced to 1828 A TRIUMPH OF GLOBAL COLLABORATION points with binning in sets of 5 with time interval no greater than 10 minutes. Frederick Pilcher 4438 Organ Mesa Loop MPO Canopus software was used for lightcurve analysis and Las Cruces, NM 88011 USA expedited the sharing of data among the collaborators, who [email protected] independently obtained several slightly different rotation periods. A synodic period of 70.26 hours, amplitude 0.15 ± 0.02 Vladimir Benishek magnitudes, represents all of these fairly well, but we suggest a Belgrade Astronomical Observatory realistic error is ± 0.03 hours rather than the formal error of ± 0.01 Volgina 7, 11060 Belgrade 38, SERBIA hours. Andrea Ferrero The double period 140.55 hours was also examined. With about Bigmuskie Observatory (B88) 95% phase coverage the two halves of the lightcurve looked the via Italo Aresca 12, 14047 Mombercelli, Asti, ITALY same as each other and as in the 70.26 hour lightcurve. Furthermore for order through 14 the coefficients of the odd Hiromi Hamanowa, Hiroko Hamanowa harmonics were systematically much smaller than for the even Hamanowa Astronomical Observatory harmonics. A 140.55 hour period can be safely rejected. 4-34 Hikarigaoka Nukazawa Motomiya Fukushima JAPAN Observers and equipment: Observer code: VB = Vladimir Robert D. Stephens Benishek; AF = Andrea Ferrero; HH = Hiromi and Hiroko Goat Mountain Astronomical Research Station (GMARS) Hamanowa; FP = Frederick Pilcher; RS = Robert Stephens. -
2010 AL30 on Jan
John Menke 22500 Old Hundred Rd Barnesville, MD 20838 301-407-2224 [email protected] Observations of Near Earth Asteroid 2010 AL30 on Jan. 13, 2010 (UTC) Jan. 18, 2010 Introduction On Jan. 11, 2010 the Linear Automated Sky Survey System identified AL30 as an incoming Near Earth Asteroid (NEO). Over the next 12-24 hours, various observers improved the orbit determination, and the Harvard Minor Planet Center (MPC) began putting out revised ephemeris and elements. Closest approach was estimated to take place on Jan. 13 at approximately 0.34 the distance to the moon when the speed relative to the stars was estimated to be 10a-s/sec at magnitude of about 14-15. The ephemeris showed that on the evening of Tues Jan 12 AL30 would be well placed in the Eastern sky for observers on the Atlantic coast in the U.S. Upon reviewing the ephemeris, I decided that observing AL30 was likely feasible at my observatory in Barnesville, MD, about 35 miles NW of Washington, DC. Given the faintness (estimated mag 15), relatively high speed (2-4 a-m/min), and continued uncertainty as to he accuracy of the ephemeris, I decided against using video due to the small field of view (FOV), somewhat lower sensitivity as compared to a good CCD camera, and lack of exposure duration flexibility. While I do not have software capable of tracking a fast moving NEO, I do have a reasonably good and flexible remote controlled observatory about 400 feet from my home office. In fact, all observations of AL30 were done using remote operations. -
NEAR EARTH ASTEROIDS (Neas) a CHRONOLOGY of MILESTONES 1800 - 2200
INTERNATIONAL ASTRONOMICAL UNION UNION ASTRONOMIQUE INTERNATIONALE NEAR EARTH ASTEROIDS (NEAs) A CHRONOLOGY OF MILESTONES 1800 - 2200 8 July 2013 – version 41.0 on-line: www.iau.org/public/nea/ (completeness not pretended) INTRODUCTION Asteroids, or minor planets, are small and often irregularly shaped celestial bodies. The known majority of them orbit the Sun in the so-called main asteroid belt, between the orbits of the planets Mars and Jupiter. However, due to gravitational perturbations caused by planets as well as non- gravitational perturbations, a continuous migration brings main-belt asteroids closer to Sun, thus crossing the orbits of Mars, Earth, Venus and Mercury. An asteroid is coined a Near Earth Asteroid (NEA) when its trajectory brings it within 1.3 AU [Astronomical Unit; for units, see below in section Glossary and Units] from the Sun and hence within 0.3 AU of the Earth's orbit. The largest known NEA is 1036 Ganymed (1924 TD, H = 9.45 mag, D = 31.7 km, Po = 4.34 yr). A NEA is said to be a Potentially Hazardous Asteroid (PHA) when its orbit comes to within 0.05 AU (= 19.5 LD [Lunar Distance] = 7.5 million km) of the Earth's orbit, the so-called Earth Minimum Orbit Intersection Distance (MOID), and has an absolute magnitude H < 22 mag (i.e., its diameter D > 140 m). The largest known PHA is 4179 Toutatis (1989 AC, H = 15.3 mag, D = 4.6×2.4×1.9 km, Po = 4.03 yr). As of 3 July 2013: - 903 NEAs (NEOWISE in the IR, 1 February 2011: 911) are known with D > 1000 m (H < 17.75 mag), i.e., 93 ± 4 % of an estimated population of 966 ± 45 NEAs (NEOWISE in the IR, 1 February 2011: 981 ± 19) (see: http://targetneo.jhuapl.edu/pdfs/sessions/TargetNEO-Session2-Harris.pdf, http://adsabs.harvard.edu/abs/2011ApJ...743..156M), including 160 PHAs. -
Delta-V to Near-Earth Asteroids: an Examination of the Shoemaker-Helin Equations
DELTA-V TO NEAR-EARTH ASTEROIDS: AN EXAMINATION OF THE SHOEMAKER-HELIN EQUATIONS By Max Murphy A thesis presented to the Department of Astronomy in partial fulfillment of the requirements for the degree of Bachelor of Arts Advisors: Martin Elvis José Luis Galache Sukrit Ranjan April 11, 2015 Harvard College 2 Delta-V to Near-Earth Asteroids Abstract Near-Earth asteroids present promising opportunities for future human spaceflight missions. Many of these objects have orbits that come within close proximity to the Earth, allowing a significantly lower cost in comparison to missions to Mars or even the Moon. This cost is directly related to the change in velocity (Delta-V) necessary to move a vehicle from low-Earth orbit to the orbit of a near-Earth asteroid. This paper will discuss the merits of asteroid rendezvous missions in the near future and assess the validity of Delta-V approximations for ~1200 known asteroids candidates. A 1979 paper by Shoemaker and Helin suggested a class-specific set of equations for approximating the Delta-V for these objects. Modern numerical calculations provide accurate measurements for these values and will serve as a test to the strength of the Shoemaker-Helin equations. Max Murphy Contents 1 Equations and Constants 2 Introduction 2.1 History 2.2 NEA Classes 2.3 Asteroid Naming 2.4 Commercial Interest and the Space Economy 2.5 Spaceflight Mission Considerations 2.6 Delta-V of Asteroids 3 Delta-V Approximation 3.1 Orbit Measurements 3.2 Trajectory Calculations 3.3 Shoemaker-Helin Equations 3.4 Near-Earth Object Human Space Flight Accessible Targets Study (NHATS) 4 Methods 4.1 Acquiring Data 4.2 Comparing SH and NHATS Delta-V 4.3 Modifying the Shoemaker-Helin Equations 5 Results and Conclusions 6 Figures and Tables 4 Delta-V to Near-Earth Asteroids 1 Equations and Constants I will use the following constants and equations in my calculations and analysis. -
Multiple Asteroid Retrieval Mission
Multiple Asteroid Retrieval Mission Gustavo Gargioni Thesis submitted to the Faculty of the Virginia Polytechnic Institute and State University in partial fulfillment of the requirements for the degree of Master of Science in Aerospace Engineering Jonathan T Black, Chair Shane D Ross Scott L England May 11, 2020 Blacksburg, Virginia Keywords: Near-Earth Objects, Asteroid, S-Type, M-Type, Close Approach, Relative Velocity, Asteroid Return Mission, API, L2-Halo, Hohmann, Manifold, Absolute Magnitude, Albedo, BFR, Starship, Tanker, Spacecraft Reusability, Rocket Reusability, in-space refueling, CNEOS, JPL, NASA, KISS, Cislunar, Gateway Copyright 2020, Gustavo Gargioni Multiple Asteroid Retrieval Mission Gustavo Gargioni (ABSTRACT) In this thesis, the possibility of enabling space-mining for the upcoming decade is explored. Making use of recently-proven reusable rockets, we envision a fleet of spacecraft capable of reaching Near-Earth asteroids. To analyze this idea, the goal of this problem is to maximize the asteroid mass retrieved within a spacecraft max life span. Explicitly, the maximum lifetime of the spacecraft fleet is set at 30 years. A fuel supply-chain is proposed and designed so that each spacecraft is refueled before departing for each asteroid. To maximize access to the number of asteroids and retrievable mass for each mission, we propose launching each mission from an orbit with low escape velocity. The L2-Halo orbit at the libration point in the Earth-Moon system was selected due to its easy access from Low-Earth Orbit and for a cislunar synergy with NASA Gateway. Using data from NASA SmallBody and CNEOS databases, we investigated NEAs in the period between 2030 and 2060 could be captured in the ecliptic plane and returned to L2-Halo with two approaches, MARM-1 and MARM- 2. -
Slaspast V5.3.Pages
SLAS PAST: A HISTORY OF THE SALT LAKE ASTRONOMICAL SOCIETY (v 5.2, 10 AUG 2021) TABLE OF CONTENTS Author’s Note.............................................page 02 Current SLAS Information..................................page 02 Ongoing/Recurring Themes..................................page 03 Pre-club History..........................................page 03 Club History Timeline.....................................page 04 Little Mountain History...................................page 21 SPOC......................................................page 22 SPOC Images...............................................page 23 SPOC History..............................................page 23 Montgomery Observatory.................................page 23 Harmons Observatory....................................page 27 Donna Pease Wiggins Refractor House....................page 29 Clements 1.8 Meter Reflector...........................page 30 Siegfried Jachmann Memorial Refractor..................page 30 SPOC Advisory Committee................................page 30 Newsletters...............................................page 32 Logos.....................................................page 33 Club Events...............................................page 34 Solstice Parties.......................................page 34 Rap Sessions...........................................page 38 Other SLAS Events......................................page 38 Star Parties, Public......................................page 41 Star Parties, Private.....................................page -
Radar Observations of Near-‐Earth and Main-‐Belt Asteroids
Radar Observations of Near-Earth and Main-Belt Asteroids Lance A. M. Benner Jet Propulsion Laboratory, California Institute of Technology Michael W. Busch SETI Institute Jon D. Giorgini Jet Propulsion Laboratory, California Institute of Technology Patrick A. Taylor Arecibo Observatory Jean-Luc Margot University of California, Los Angeles Abstract Radar is a very powerful technique for characterizing near-Earth and main-belt asteroids and for improving their orbits. This results from radar’s ability to spatially resolve objects that often cannot be resolved at comparable resolutions by other ground-based techniques. Radar has revealed binary and contact binary objects, at least two triple systems, non-principal axis rotators, objects whose radar reflectivity and circular polarization ratio have longitudinal variation, irregularly-shaped near- Earth asteroids, objects with metallic compositions, objects with rubble pile structures, and detailed radar images of main-belt asteroids that reveal complicated surfaces and substantial topographic relief. This chapter concentrates on the most significant advances in the field since publication of the radar chapter by Ostro et al. (2002) in Asteroids III. Detailed descriptions of asteroid radar observing techniques and terminology have appeared in Ostro (1993), Ostro et al. (2002; in Asteroids III), so we refer readers to those papers for background information. This chapter emphasizes the first ground-truth tests of asteroid shape models by spacecraft encounters, population trends among near-Earth and main-belt asteroids, results for selected objects, new observing techniques, improved capabilities at radar telescopes, and improvements in 3D shape modeling. We conclude with a discussion of future prospects. Copyright 2016 California Institute of Technology.