Asteroid Impact Mitigation and in Par- Ticular the Group Feasibility Study of a Mitigation Precursor Mission

Total Page:16

File Type:pdf, Size:1020Kb

Asteroid Impact Mitigation and in Par- Ticular the Group Feasibility Study of a Mitigation Precursor Mission Alexander Bradley Precursor Rendezvous for Impact Mitigation of Asteroids (PRIMA): Systems Engineering SCHOOL OF ENGINEERING MSc Astronautics and Space Engineering Group Design Project Report CRANFIELD UNIVERSITY SCHOOL OF ENGINEERING MSc Astronautics and Space Engineering Group Design Project Report Academic Year 2006-07 Alexander Bradley Precursor Rendezvous for Impact Mitigation of Asteroids (PRIMA): Systems Engineering Supervisor: Dr Stephen Hobbs August 2007 This thesis is submitted in partial (30%) fulfillment of the requirements for the degree of MSc Astronautics and Space Engineering. c Cranfield University 2007. All rights reserved. No part of this publication may be reproduced without the written permission of the copyright owner. i Abstract Asteroid impacts are perhaps the most infrequent but certainly the most devastating form of natural disaster occurring on our planet. Despite the rarity of their occur- rence, these events present a real threat for modern society. Although there has been an increasing recognition of the reality of this threat, the potential means by which the disaster could be avoided remain poorly understood. It is, however, the only form of natural disaster for which the capability exists to predict and prevent a catastrophe. This project aims to improve the knowledge of asteroid impact threat and under- standing of how to mitigate the problem and to maximise the reliability of a possible solution. This aim has been addressed by the group design of a precursor mitigation mission. The mission’s main objectives are to: rendezvous with a threatening aster- oid; track the asteroid accurately; measure its physical characteristics and demon- strate mitigation technology. This report presents the author’s work as one of two system engineers within the group. Its focus is on system requirements, budgets and an international framework perspective. The design takes the form of a feasibility study. Analysis therefore focuses on identifying and addressing key issues related to the mission. The role of the system engineer was to coordinate all subsystems at a top level. In particular this meant ensuring all design choices were fully justifiable by both traceability to the mission objectives and constraint considerations. The resultant design is based on a combination of proven technology and justified assumptions for operational parameters. Although some areas of the design remain outstanding, they have been analysed in sufficient detail to reasonably discount them as feasibility issues. In summary, the design meets all mission objectives at low risk and low cost. The process for protection against asteroid impacts comprises three parts; an early warning system, mitigation options and decision making. Whilst the early warning system and decision making are far from trivial to complete, action is underway in these areas. In contrast, there is currently no action in the field of mitigation technology options. This project represents a significant step towards bridging this gap. Logically, the next phase would be to formalise this design and implement it into production. ii Acknowledgements Thanks to the official group supervisor, Dr. Stephen Hobbs and all the project members for their contributions to finalise a mission design. There were also part contributions from Mr Tom Bowling and other members who were unable to com- plete the project. CONTENTS iii Contents Contents iii List of figures vi List of tables vii Abbreviations ix 1 Introduction 1 1.1 Background . 1 1.2 Rationale . 4 1.3 Objectives & overview . 5 1.4 Report structure . 6 2 Literature review 7 2.1 Earth based observations . 7 2.2 Asteroid rendezvouses . 9 2.3 Mitigation options . 10 2.4 Interested parties . 10 2.5 Apophis . 11 3 Project Management 12 3.1 Project organisation . 12 3.2 Work breakdown structure . 12 iv CONTENTS 3.3 System engineer role . 14 4 Requirements 15 4.1 Top level requirements . 15 4.2 Requirements development . 17 4.3 Spacecraft specifications . 29 5 Budgets 32 5.1 Mass budget . 32 5.2 Financial budget . 33 5.3 Data budget . 33 5.4 Communications link budget . 33 5.5 Power budget . 34 5.6 Propellant budget . 35 6 International framework 43 6.1 Current activities . 43 6.2 International collaboration . 47 6.3 Relevance of PRIMA . 47 7 Conclusion 49 7.1 Summary of work . 49 7.2 Conclusions . 49 7.3 Future work . 50 8 References 51 8.1 References . 51 8.2 Bibliography . 53 A Executive Summary: PRIMA, System Engineer Alexander Bradley 60 Contents v B Project management 62 B.1 Detailed work breakdown structure . 62 C Propulsion 66 C.1 Electric engine . 66 D Budgets 67 D.1 Initial cost budget . 67 D.2 Data budget assumptions . 67 D.3 Communications budget assumptions . 68 D.4 Power source sizing . 68 D.5 Propellant calculations . 68 vi LIST OF FIGURES List of Figures 1.1 Object classes within near-Earth space . 2 1.2 Near Earth asteroid orbit types . 2 1.3 Impact frequency by diameter . 3 1.4 Impact fatalities . 4 1.5 Possible impact effects . 4 3.1 Work breakdown structure . 13 4.1 Top-down subsystem interface . 18 4.2 Varying distance between Apophis and Earth over time . 24 4.3 Spacecraft configuration . 27 5.1 Communication links . 34 C.1 Electric engine - PPS 1350 . 66 LIST OF TABLES vii List of Tables 1.1 Causes of death and associated probabilities . 3 4.1 Most threatening asteroids . 19 4.2 Payload . 20 4.3 Mission phases . 22 4.4 Power requirements . 25 4.5 Attitude requirements at various phases . 26 4.6 Spacecraft specifications . 30 5.1 Overall spacecraft mass . 32 5.2 Spacecraft mass breakdown . 36 5.3 Mission cost estimate . 38 5.4 Data links . 39 5.5 Phase - data link table . 39 5.6 Communications link budget . 40 5.7 Power Budget . 41 5.8 Phase - power table . 42 5.9 Propellant budget . 42 C.1 PPS 1350 specifications . 66 D.1 Initial cost budget . 67 D.2 Main instruments for data links . 67 viii LIST OF TABLES D.3 Transmit data related parameters . 68 D.4 Communication budget design parameters . 68 D.5 Referenced communications link budget . 69 D.6 Orbiter battery sizing . 69 D.7 Orbiter solar array sizing . 70 D.8 Lander RTG sizing . 70 D.9 Propellant calculations . 71 Abbreviations ix Abbreviations NEO Near Earth Object MOID Minimum Orbit Intersection Distance SMAD Space Mission Analysis and Design SSCM Small Satellite Cost Model PHA Potentially Hazardous Asteroid NEA Near Earth Asteroid Introduction 1 Chapter 1 Introduction This project is concerned with the topic of asteroid impact mitigation and in par- ticular the group feasibility study of a mitigation precursor mission. The scope of this report is to present the work of the author as a system engineer. The introduction discusses the background to the project, its rationale, objectives and report organisation. 1.1 Background The prevention of casualties and the limitation of damage caused by natural dis- asters that originate on Earth, such as earthquakes, hurricanes and tsunamis, is a focus of intensive research and funding. The hazard, however, presented by impacts from extraterrestrial bodies remain far less well understood. These events, whilst less frequent, pose a much greater threat than other natural disasters as they have the potential to eradicate the entire human race. The destructive potential behind Earth-bound objects was highlighted by Alvarez et al. (1980) in a publication outlin- ing the cause of the dinosaur extinction and this awoke the academic community to the threat. This section discusses the objects in space which present these potential hazards, the probability of impact and the effects of such an event. 1.1.1 Impact hazard taxonomy There are various type of objects in near-Earth space, of which only comets and asteroids pose a significant threat to Earth (figure 1.1). Near Earth Objects (NEOs) are those which have a perihelion distance ≤ 1.3 Astronomical Units (AU) and an aphelion distance ≥ 0.98 AU (Bottke et al., 2002a). Of these, asteroids are by far the most numerous and are termed Near Earth Asteroids (NEAs). NEAs are sub- categorised into Apollos, Atens, Amors and Inner Earth Objects (IEOs)(figure 1.2). Of particular importance are those NEAs which have a minimum orbit intersection 2 Introduction distance (MOID) of 0.05 AU and an absolute magnitude ≤ 22 (Rabinowitz et al., 1994). These are known as Potentially Hazardous Asteroids (PHAs) and make-up the category which poses the most significant threat to Earth. Figure 1.1: Object classes within near-Earth space (Binzel et al., 2002) Figure 1.2: Near Earth asteroid orbit types (NASA, 2007) 1.1.2 Impact probability The frequency of an impact by an asteroid decreases with increasing asteroid diam- eter (figure 1.3). There is, therefore, a lower probability of a relatively large asteroid compared to one of a smaller diameter. To put this in perspective, table 1.1 shows the statistical probability of death by asteroid impact compared to other common and not so common causes. A review of the current top 5 threatening asteroids is covered in section 4.2.2. Introduction 3 Figure 1.3: Impact frequency by diameter (Chapman and Morrison, 1994) Table 1.1: Causes of death and associated probabilities (Adams et al., 2003) Cause of Death Chance Motor vehicle accident 1 in 100 Homicide 1 in 300 Fire 1 in 800 Firearms accident 1 in 2,500 Electrocution 1 in 5,000 Asteroid/comet impact 1 in 20,000 Passenger aircraft crash 1 in 20,000 Flood 1 in 30,000 Tornado 1 in 60,000 Venomous bite or sting 1 in 100,000 Fireworks 1 in 1,000,000 Food poisoning by botulism 1 in 3,000,000 Drinking water with EPA limit of tricholoethylene 1 in 10,000,000 1.1.3 Impact effects To highlight the importance of designing asteroid mitigation strategies, consider that it only takes an asteroid of 10 km in diameter to destroy life on Earth (figure 1.4).
Recommended publications
  • Defending Earth: the Threat from Asteroid and Comet Impact
    Defending Earth: The Threat from Asteroid and Comet Impact Version A | 05 September 2009 Mr. A.C. Charania President, Commercial Division | SpaceWorks Engineering, Inc. (SEI) | [email protected] | 1+770.379.8006 Acknowledgments: Multiple slides from Dr. Clark Chapman, Southwest Research Institute Boulder, Colorado, USA, URL: www.boulder.swri.edu/~cchapman 1 Copyright 2009, SpaceWorks Engineering, Inc. (SEI) | www.sei.aero Source: NASA/JPL/Infrared Telescope Facility 2009 Jupiter Impact Event: 19 July 2009 (1 km Sized Object) 2 Copyright 2009, SpaceWorks Engineering, Inc. (SEI) | www.sei.aero Source: JPL / NASA Spitzer Space Telescope 95 Light Years Away (Star HD 172555): Moon-Sized Object Impacts Mercury-Sized Object at 10 km/s (5.8+/-0.6 AU Orbit) 3 Copyright 2009, SpaceWorks Engineering, Inc. (SEI) | www.sei.aero SPACEWORKS 4 Copyright 2009, SpaceWorks Engineering, Inc. (SEI) | www.sei.aero KEY CUSTOMERS AND PRODUCTS 5 Copyright 2009, SpaceWorks Engineering, Inc. (SEI) | www.sei.aero DOMAIN OF EXPERTISE: ADVANCED CONCEPTS 6 Copyright 2009, SpaceWorks Engineering, Inc. (SEI) | www.sei.aero INTRODUCTION 7 Copyright 2009, SpaceWorks Engineering, Inc. (SEI) | www.sei.aero − Asteroid - A relatively small, inactive, rocky body orbiting the Sun − Comet - A relatively small, at times active, object whose ices can vaporize in sunlight forming an atmosphere (coma) of dust and gas and, sometimes, a tail of dust and/or gas − Meteoroid - A small particle from a comet or asteroid orbiting the Sun − Meteor - The light phenomena which results when a meteoroid enters the Earth's atmosphere and vaporizes; a shooting star − Meteorite -A meteoroid that survives its passage through the Earth's atmosphere and lands upon the Earth's surface − NEO - Near Earth Object (within 0.3 AU) − PHOs - Potentially Hazardous Objects (within 0.025 AU) COMMON DEFINITIONS 8 Copyright 2009, SpaceWorks Engineering, Inc.
    [Show full text]
  • AAS/DPS Poster (PDF)
    Spacewatch Observations of Asteroids and Comets with Emphasis on Discoveries by WISE AAS/DPS Poster 13.22 Thurs. 2010 Oct 7: 15:30-18:00 Robert S. McMillan1, T. H. Bressi1, J. A. Larsen2, C. K. Maleszewski1,J. L. Montani1, and J. V. Scotti1 URL: http://spacewatch.lpl.arizona.edu 1University of Arizona; 2U.S. Naval Academy Abstract • Targeted recoveries of objects discovered by WISE as well as those on impact risk pages, NEO Confirmation Page, PHAs, comets, etc. • ~1900 tracklets of NEOs from Spacewatch each year. • Recoveries of WISE discoveries preserve objects w/ long Psyn from loss. • Photometry to determine albedo @ wavelength of peak of incident solar flux. • Specialize in fainter objects to V=23. • Examination for cometary features of objects w/ comet-like orbits & objects that WISE IR imagery showed as comets. Why Targeted Followup is Needed • Discovery arcs too short to define orbits. • Objects can escape redetection by surveys: – Surveys busy covering other sky (revisits too infrequent). – Objects tend to get fainter after discovery. • Followup observations need to outnumber discoveries 10-100. • Sky density of detectable NEOs too sparse to rely on incidental redetections alone. Why Followup is Needed (cont’d) • 40% of PHAs observed on only 1 opposition. • 18% of PHAs’ arcs <30d; 7 PHAs obs. < 3d. • 20% of potential close approaches will be by objects observed on only 1 opposition. • 1/3rd of H≤22 VI’s on JPL risk page are lost and half of those were discovered within last 3 years. How “lost” can they get? • (719) Albert discovered visually in 1911. • “Big” Amor asteroid, diameter ~2 km.
    [Show full text]
  • Investigating the Efficacy of Smallsats for Asteroid Detection
    Investigating the Efficacy of CubeSats for Asteroid Detection Conor O’Toole 14204794 Goals • To investigate if CubeSats could be used to detect asteroids which could be classified as Near Earth Objects (NEOs), ie. that will come within 1.5AU of Earth at some point. • A number of factors must be taken into account: • Size limit on asteroids? • Max distance for detections? • One or multiple satellites? • Comparison with ground-based surveys Asteroids • Left-overs from Solar System formation • Primarily located in asteroid belts, but many occupy other orbits • Rate of collision with the planets and moons considered roughly constant • Ample evidence throughout Solar System Figure 1: Surfaces of Mercury, Moon, Mars, along with Barringer Crater in Arizona. [1], [2], [3], [4] NEOs • ~13,000 NEOs currently catalogued • 1km scale would cause destruction on a global scale. • Objects as small as 140m considered a major threat (in light of Chelyabinsk, Tunguska, etc) • Mitigation techniques in development (eg. Gravity tractor, kinetic impactor, etc) Figure 2: NEOs discovered against predicted • Primary concern remains detection values, for a range of sizes. [5] Asteroid Surveys • SpaceGuard (1998-2008) • Prioritised kilometre scale objects • CSS, LINEAR ~ 7,500 discoveries by 2014 ([6], [7]) • ATLAS (late 2015) • Early warning system for objects as small as 120m [8] • MANOS (2013-present) • Study physical parameters [9] • Space-based • NEOSSat, launched 2013 [10] • Sentinel, planned launch 2018 [11] LightForce Simulation • Space debris mitigation proposal [12-14] • Collision avoidance through ground-based laser stations • Simulation predicts roughly 90% reduction in number of collisions in the next year • Currently being extended to 100 years Figure 3: The general technique a LightForce station, either speeding up or slowing down an object to alter it’s orbit.
    [Show full text]
  • Near-Earth Object Resource
    NEO Resource Near-Earth Object Resource Compiled and edited by James M. Thomas for the Museum Astronomical Resource Society http://marsastro.org and the NASA/JPL Solar System Ambassador Program http://www.jpl.nasa.gov/ambassador Updated July 15, 2006 Based upon material available through the NASA Near-Earth Object Program http://neo.jpl.nasa.gov/ 1 of 104 NEO Resource Table of Contents Section Page Introduction & Overview 5 Target Earth 6 • The Cretaceous/Tertiary (K-T) Extinction 9 • Chicxulub Crater 10 • Barringer Meteorite Crater 13 What Are Near-Earth Objects (NEOs)? 14 What Is The Purpose Of The Near-Earth Object Program? 14 How Many Near-Earth Objects Have Been Discovered So Far? 15 What Is A PHA? 16 What Are Asteroids And Comets? 17 What Are The Differences Between An Asteroid, Comet, Meteoroid, Meteor and 19 Meteorite? Why Study Asteroids? 21 Why Study Comets? 24 What Are Atens, Apollos and Amors? 27 NEO Groups 28 Near-Earth Objects And Life On Earth 29 Near-Earth Objects As Future Resources 31 Near-Earth Object Discovery Teams 32 2 of 104 NEO Resource • Lincoln Near-Earth Asteroid Research (LINEAR) 35 • Near-Earth Asteroid Tracking (NEAT) 37 • Spacewatch 39 • Lowell Observatory Near-Earth Object Search (LONEOS) 41 • Catalina Sky Surveys 42 • Japanese Spaceguard Association (JSGA) 44 • Asiago DLR Asteroid Survey (ADAS) 45 Spacecraft Missions to Comets and Asteroids 46 • Overview 46 • Mission Summaries 49 • Near-Earth Asteroid Rendezvous (NEAR) 49 • DEEP IMPACT 49 • DEEP SPACE 1 50 • STARDUST 50 • Hayabusa (MUSES-C) 51 • ROSETTA
    [Show full text]
  • Spacewatch and Follow-Up Astrometry of Near-Earth Objects
    Spacewatch and Follow-up Astrometry of Near-Earth Objects International Asteroid Warning Network Steering Group Meeting Cambridge, MA 2014 Jan 13 Robert S. McMillan1, T. H. Bressi1, J. A. Larsen2, J. V. Scotti1, and R. A. Mastaler1 URL: http://spacewatch.lpl.arizona.edu 1University of Arizona; 2U.S. Naval Academy Summary • Follow-up of "large" NEOs (H≤22) as they recede from Earth after discovery and become fainter, as well as VIs, PHAs, & NEOs observed by WISE. • New, fast-reading CCD on 1.8-meter telescope. • Observed at elongations as small as 46°. • ~2800 tracklets of NEOs accepted by MPC from Spacewatch each year. • Big, long archive from 0.9-m telescope to support precoveries. Why Targeted Followup is Needed • Discovery arcs too short to define orbits: – Followup observation intervals need to be thousands of times longer than discoveries. • Objects can escape redetection by surveys: – Surveys too busy covering other sky. – Objects tend to get fainter after discovery. • Sky density of detectable NEOs is too sparse to rely on incidental redetections alone. Why More Followup is Needed • 1/3rd of PHAs observed on only 1 opposition. • 1/6th of PHAs’ arcs <30d. • ~Half of potential close approaches in the next 30 years will be by objects observed on only one opposition. • 2/3rds of H≤22 VI’s on JPL risk page are lost and > half of those were discovered within the last 6 years by modern surveys. How “lost” can they get? • (719) Albert discovered visually in 1911. • “Big” Amor asteroid, diameter ~2 km. • Favorable (perihelic) apparitions 30 yrs apart.
    [Show full text]
  • 2014Dps...4641411M (Pdf)
    SPACEWATCH® Observations of Asteroids and Comets Supporting the Large- Scale Surveys. Poster 414.11 46th Mtg of the DPS/AAS, 2014 Nov. Robert S. McMillan1, T. H. Bressi1, J. V. Scotti1, J. A. Larsen2, R. A. Mastaler1 , and A. F. Tubbiolo1 URL: http://spacewatch.lpl.arizona.edu 1University of Arizona; 2U.S. Naval Academy Photo by Marcus L. Perry, 1997 Summary • Follow-up of "large" NEOs (H≤22) as they recede from Earth after discovery and become fainter, as well as VIs, PHAs, & NEOs observed by WISE. • New, faster-reading CCD on 1.8-meter telescope. • Observed at elongations as small as 46°. • ~2800 tracklets of NEOs from Spacewatch accepted by MPC each year. • Big, long archive from 0.9-m telescope to support precoveries. Why Targeted Followup is Needed • Discovery arcs too short to define orbits: – Followup observation intervals need to be thousands of times longer than discoveries. • Objects can escape redetection by surveys: – Surveys too busy covering other sky. – Objects tend to get fainter after discovery. • Sky density of detectable NEOs is too sparse to rely on incidental redetections alone. Why More Followup is Needed • 1/3rd of PHAs observed on only 1 opposition. • 1/6th of PHAs’ arcs <30d. • ~Half of potential close approaches in the next 30 years will be by objects observed on only one opposition. • 2/3rds of H≤22 VI’s on JPL risk page are lost and > half of those were discovered within the last 6 years by modern surveys. How “lost” can they get? • (719) Albert discovered visually in 1911. • “Big” Amor asteroid, diameter ~2 km.
    [Show full text]
  • Life in a Shooting Gallery Meteors, Meteorites, and Meteoroids
    Life in a Shooting Gallery Meteors, Meteorites, and Meteoroids • Meteor: the streak of light seen in the sky • Meteorite: the rock found on the ground • Meteoroid: the rock before it hits Earth Meteorites are easily-studied remnants of the formation of the solar system Meteors “It is easier to believe that Yankee professors would lie than that stones would fall from heaven.” -- attributed to Thomas Jefferson From below … Meteors … and above Meteors • Most are the size of a grain of sand • They vaporize about 75-100 km up when they hit the atmosphere • Impact velocities >20 km/s • The trails are ionized gas • Best viewed after midnight Meteor Showers Occur when Earth passes through the orbit of a comet. Examples: • Orionids: comet 1P/Halley Oct 21-22 • Leonids: comet 109P/Tempel-Tuttle Nov 17-18 • Geminids: asteroid 3200 Phaeton Dec 13-14 • Perseids: comet 55P/Swift-Tuttle Aug 12-13 • Lyrids: comet Thatcher Apr 22-23 Orbits of Meteor Showers Fireballs and Bolides • Very bright meteors • May leave a persistent trail • Due to impacting object bigger than about 1m Geminid Fireball 12/9/2010. source: S. Korotkiy, Russian Academy of Sciences Grand Tetons Meteor 8/10/72. 3-14m Apollo asteroid. V=15 km/s; 15km altitude Bering Sea Bolide Dec 18, 2018. 170 kT explosion. 26 km height Source: NASA Peekskill Meteorite 10/9/92 12 kg Stony-Iron Classification S C M Primitive meteorites (chondrites) Unchanged since solar system formation • Stony: rocky minerals + small fraction of metal flakes • Carbonaceous (Carbon-rich): like stony, with large amounts
    [Show full text]
  • Dozens of Virtual Impactor Orbits Eliminated by the EURONEAR
    Astronomy & Astrophysics manuscript no. paper116 c ESO 2020 September 3, 2020 Dozens of virtual impactor orbits eliminated by the EURONEAR VIMP DECam data mining project O. Vaduvescu1, 2, 3, L. Curelaru4, M. Popescu5, 2, B. Danila6, 7, and D. Ciobanu8 1 Isaac Newton Group of Telescopes, Apto. 321, E-38700 Santa Cruz de la Palma, Canary Islands, Spain 2 Instituto de Astrofisica de Canarias (IAC), C/Via Lactea s/n, 38205, La Laguna, Tenerife, Spain 3 University of Craiova, Str. A. I. Cuza nr. 13, 200585, Craiova, Romania 4 EURONEAR member, Brasov, Romania 5 Astronomical Institute of the Romanian Academy, 5 Cutitul de Argint, 040557, Bucharest, Romania 6 Astronomical Observatory Cluj-Napoca, Romanian Academy, 15 Ciresilor Street, 400487 Cluj-Napoca, Romania 7 Department of Physics, Babes-Bolyai University, Kogalniceanu Street, 400084 Cluj-Napoca, Romania 8 EURONEAR collaborator, Bucharest, Romania Submitted 15 June 2020; Reviewed 23 July 2020; Accepted 27 July 2020 ABSTRACT Context. Massive data mining of image archives observed with large etendue facilities represents a great opportunity for orbital amelioration of poorly known virtual impactor asteroids (VIs). There are more than 1000 VIs known today; most of them have very short observed arcs and many are considered lost as they became extremely faint soon after discovery. Aims. We aim to improve the orbits of VIs and eliminate their status by data mining the existing image archives. Methods. Within the European Near Earth Asteroids Research (EURONEAR) project, we developed the Virtual Impactor search using Mega-Precovery (VIMP) software, which is endowed with a very effective (fast and accurate) algorithm to predict apparitions of candidate pairs for subsequent guided human search.
    [Show full text]
  • On the Prospects of Near Earth Asteroid Orbit Triangulation Using
    On the prospects of Near Earth Asteroid orbit triangulation using the Gaia satellite and Earth-based observations Siegfried Eggl1, Hadrien Devillepoix1 aIMCCE Observatroire de Paris, UPMC, Universit´eLille 1, 75014 Paris, (France) 1. Introduction Both, the airburst of a bolide over Chelyabinsk/Russia on Feb. 15th, 2013 and the deep close encounter of the asteroid 2012 DA14 missing the Earth by as little as 3.5 Earth radii Chodas et al. (2012) highlighted once more that Near Earth Object (NEO) pose a non-negligible threat to mankind. Predicting future encounters between asteroids and the Earth should, therefore, be con- sidered a task of high priority. Yet, current estimates project that only about 30% of the total NEO population with diameters between 100m and 1km have been discovered so far Mainzer et al. (2012). This issue is further aggravated by the fact that discovering an asteroid does not automatically entail knowl- edge on whether it will collide with the Earth or not. Due to the complex interplay of gravitational and non-gravitational forces, long term predictions of NEA impact risks are a difficult task, especially when initial orbits1 are poorly constrained. Regarding discovery and orbit improvement, the Gaia astrometry mission Mignard et al. (2007) has been found to hold great potential for NEA re- search Bancelin et al. (2010); Hestroffer et al. (2010); Tanga & Mignard (2012). Given the fact that Gaia is a space observatory with a fixed scanning law, how- ever, consecutive observations of newly discovered objects, which are vital for initial orbit determination, are necessarily sparse. In practice this means that many objects have to be followed up from ground based sites Thuillot (2011).
    [Show full text]
  • The Evolution of the Orbit Distance in the Double Averaged Restricted 3-Body Problem with Crossing Singularities
    DISCRETE AND CONTINUOUS doi:10.3934/dcdsb.2013.18.1323 DYNAMICAL SYSTEMS SERIES B Volume 18, Number 5, July 2013 pp. 1323–1344 THE EVOLUTION OF THE ORBIT DISTANCE IN THE DOUBLE AVERAGED RESTRICTED 3-BODY PROBLEM WITH CROSSING SINGULARITIES Giovanni F. Gronchi Dipartimento di Matematica, Universit`adi Pisa Largo B. Pontecorvo 5, 56127, Pisa, Italy Chiara Tardioli Dipartimento di Matematica, Universit`adi Pisa Largo B. Pontecorvo 5, 56127, Pisa, Italy and D´epartement de Math´ematique, FUNDP Rempart de la Vierge 8, B5000, Namur, Belgium (Communicated by Angel Jorba) Abstract. We study the long term evolution of the distance between two Keplerian confocal trajectories in the framework of the averaged restricted 3- body problem. The bodies may represent the Sun, a solar system planet and an asteroid. The secular evolution of the orbital elements of the asteroid is computed by averaging the equations of motion over the mean anomalies of the asteroid and the planet. When an orbit crossing with the planet occurs the averaged equations become singular. However, it is possible to define piece- wise differentiable solutions by extending the averaged vector field beyond the singularity from both sides of the orbit crossing set [8], [5]. In this paper we improve the previous results, concerning in particular the singularity extraction technique, and show that the extended vector fields are Lipschitz-continuous. Moreover, we consider the distance between the Keplerian trajectories of the small body and of the planet. Apart from exceptional cases, we can select a sign for this distance so that it becomes an analytic map of the orbital el- ements near to crossing configurations [11].
    [Show full text]
  • Research on the Use of Space Resources
    Research on the Use of Space Resources William F. Carroll Editor .. ' (NASA-CT;-"132 13) RESEAHCI! ON THE USE OF &84- 16227 ? SPACE RESOUBCES (3et Propulsion Lab.) 326 p HC A15/!!F A01 CSCL 22A Unclas G3,'12 18208 1 Natiorlal Aeronautics and Space Administratfon Jet Propulsion Laborat'ory California Institute of Technology Pasadena, Caiifomia JPL PUBLICATION 83-36 Research on the Use of Space Resources William F. Carroll Editor March 1, 1983 National Aeronautics and Space Administration Jet Propulsion Laboratory California Institute of Technology Pssadena, California The research descr~bedin th~spublication was carried out by the Jet Propulsion ~aboratory,Californ~a Institute of Technology, under contract with the National Aeronautics and Space Adm~nistrat~on. ABSTRACT This report covers the second year of a multiyear research program on the processing and tqe of extraterrestrial resources. The fiscal year 1981 results are re~ortedin JPL Pub1 ication 82-41, dated A~ril15, 1982 and entitled ~xtraterrestrialMaterials processing, chief author ~olfgang H. Steurer. The reporns subsequently identified as NASA CR 169268. A multiyear research plan was also develoged in parallel with the research activity reported here, The plan was submitted to NASA under document JPL D-217, dated August, 1982. The research tasks included: 1) silicate processing, 2) magma electrolysis, 3) vapor phase reduction, and 4) metals separation. Concomitant studies included: 1) energy systems, 2) transportation systems, 3) utilization analysis, an3 4) resource exploration missions. Emphasis in fiscal year 1982 was placed on the magma electrolysis and vapor phase reduction processes (both analytical and experimental ) for separation of oxygen and metals from lunar regolith.
    [Show full text]
  • Download This Article in PDF Format
    A&A 642, A35 (2020) Astronomy https://doi.org/10.1051/0004-6361/202038666 & c ESO 2020 Astrophysics Dozens of virtual impactor orbits eliminated by the EURONEAR VIMP DECam data mining project O. Vaduvescu1,2,3 , L. Curelaru4, M. Popescu5,2, B. Danila6,7, and D. Ciobanu8 1 Isaac Newton Group of Telescopes, Apto. 321, 38700 Santa Cruz de la Palma, Canary Islands, Spain e-mail: [email protected] 2 Instituto de Astrofisica de Canarias (IAC), C/Via Lactea s/n, 38205 La Laguna, Tenerife, Spain 3 University of Craiova, Str. A. I. Cuza nr. 13, 200585 Craiova, Romania 4 EURONEAR member, Brasov, Romania 5 Astronomical Institute of the Romanian Academy, 5 Cutitul de Argint, 040557 Bucharest, Romania 6 Astronomical Observatory Cluj-Napoca, Romanian Academy, 15 Ciresilor Street, 400487 Cluj-Napoca, Romania 7 Department of Physics, Babes-Bolyai University, Kogalniceanu Street, 400084 Cluj-Napoca, Romania 8 EURONEAR collaborator, Bucharest, Romania Received 15 June 2020 / Accepted 27 July 2020 ABSTRACT Context. Massive data mining of image archives observed with large etendue facilities represents a great opportunity for orbital amelioration of poorly known virtual impactor asteroids (VIs). There are more than 1000 VIs known today; most of them have very short observed arcs and many are considered lost as they became extremely faint soon after discovery. Aims. We aim to improve the orbits of VIs and eliminate their status by data mining the existing image archives. Methods. Within the European Near Earth Asteroids Research (EURONEAR) project, we developed the Virtual Impactor search using Mega-Precovery (VIMP) software, which is endowed with a very effective (fast and accurate) algorithm to predict apparitions of candidate pairs for subsequent guided human search.
    [Show full text]