The Formation of Tharsis on Mars: What the Lineofsight Gravity Is Telling
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Calculating the Potato Radius of Asteroids Using the Height of Mt. Everest
Calculating the Potato Radius of Asteroids using the Height of Mt. Everest M. E. Caplan∗ Center for the Exploration of Energy and Matter, Indiana University, Bloomington, IN 47408 (Dated: November 16, 2015) Abstract At approximate radii of 200-300 km, asteroids transition from oblong `potato' shapes to spheres. This limit is known as the Potato Radius, and has been proposed as a classification for separating asteroids from dwarf planets. The Potato Radius can be calculated from first principles based on the elastic properties and gravity of the asteroid. Similarly, the tallest mountain that a planet can support is also known to be based on the elastic properties and gravity. In this work, a simple novel method of calculating the Potato Radius is presented using what is known about the maximum height of mountains and Newtonian gravity for a spherical body. This method does not assume any knowledge beyond high school level mechanics, and may be appropriate for students interested in applications of physics to astronomy. arXiv:1511.04297v1 [physics.ed-ph] 7 Nov 2015 1 I. INTRODUCTION Spacecraft are currently exploring asteroids and dwarf planets, such as the Near Earth Asteroid Rendezvous mission (NEAR) landing on Eros,1 the Dawn mission orbiting Ceres and Vesta,2 and the New Horizons flyby of Pluto and Charon.3 Additionally, the Mars Re- connaissance Orbiter (MRO) has observed the Martian moons Phobos and Deimos.4 These missions observe a remarkable variety of shapes for these bodies, shown in Fig. 1. Smaller asteroids have irregular shapes while dwarf planets (large asteroids) are nearly spherical. -
Interpretations of Gravity Anomalies at Olympus Mons, Mars: Intrusions, Impact Basins, and Troughs
Lunar and Planetary Science XXXIII (2002) 2024.pdf INTERPRETATIONS OF GRAVITY ANOMALIES AT OLYMPUS MONS, MARS: INTRUSIONS, IMPACT BASINS, AND TROUGHS. P. J. McGovern, Lunar and Planetary Institute, Houston TX 77058-1113, USA, ([email protected]). Summary. New high-resolution gravity and topography We model the response of the lithosphere to topographic loads data from the Mars Global Surveyor (MGS) mission allow a re- via a thin spherical-shell flexure formulation [9, 12], obtain- ¡g examination of compensation and subsurface structure models ing a model Bouguer gravity anomaly ( bÑ ). The resid- ¡g ¡g ¡g bÓ bÑ in the vicinity of Olympus Mons. ual Bouguer anomaly bÖ (equal to - ) can be Introduction. Olympus Mons is a shield volcano of enor- mapped to topographic relief on a subsurface density interface, using a downward-continuation filter [11]. To account for the mous height (> 20 km) and lateral extent (600-800 km), lo- cated northwest of the Tharsis rise. A scarp with height up presence of a buried basin, we expand the topography of a hole Ö h h ¼ ¼ to 10 km defines the base of the edifice. Lobes of material with radius and depth into spherical harmonics iÐÑ up h with blocky to lineated morphology surround the edifice [1-2]. to degree and order 60. We treat iÐÑ as the initial surface re- Such deposits, known as the Olympus Mons aureole deposits lief, which is compensated by initial relief on the crust mantle =´ µh c Ñ c (hereinafter abbreviated as OMAD), are of greatest extent to boundary of magnitude iÐÑ . These interfaces the north and west of the edifice. -
No. 40. the System of Lunar Craters, Quadrant Ii Alice P
NO. 40. THE SYSTEM OF LUNAR CRATERS, QUADRANT II by D. W. G. ARTHUR, ALICE P. AGNIERAY, RUTH A. HORVATH ,tl l C.A. WOOD AND C. R. CHAPMAN \_9 (_ /_) March 14, 1964 ABSTRACT The designation, diameter, position, central-peak information, and state of completeness arc listed for each discernible crater in the second lunar quadrant with a diameter exceeding 3.5 km. The catalog contains more than 2,000 items and is illustrated by a map in 11 sections. his Communication is the second part of The However, since we also have suppressed many Greek System of Lunar Craters, which is a catalog in letters used by these authorities, there was need for four parts of all craters recognizable with reasonable some care in the incorporation of new letters to certainty on photographs and having diameters avoid confusion. Accordingly, the Greek letters greater than 3.5 kilometers. Thus it is a continua- added by us are always different from those that tion of Comm. LPL No. 30 of September 1963. The have been suppressed. Observers who wish may use format is the same except for some minor changes the omitted symbols of Blagg and Miiller without to improve clarity and legibility. The information in fear of ambiguity. the text of Comm. LPL No. 30 therefore applies to The photographic coverage of the second quad- this Communication also. rant is by no means uniform in quality, and certain Some of the minor changes mentioned above phases are not well represented. Thus for small cra- have been introduced because of the particular ters in certain longitudes there are no good determi- nature of the second lunar quadrant, most of which nations of the diameters, and our values are little is covered by the dark areas Mare Imbrium and better than rough estimates. -
Sinuous Ridges in Chukhung Crater, Tempe Terra, Mars: Implications for Fluvial, Glacial, and Glaciofluvial Activity Frances E.G
Sinuous ridges in Chukhung crater, Tempe Terra, Mars: Implications for fluvial, glacial, and glaciofluvial activity Frances E.G. Butcher, Matthew Balme, Susan Conway, Colman Gallagher, Neil Arnold, Robert Storrar, Stephen Lewis, Axel Hagermann, Joel Davis To cite this version: Frances E.G. Butcher, Matthew Balme, Susan Conway, Colman Gallagher, Neil Arnold, et al.. Sinuous ridges in Chukhung crater, Tempe Terra, Mars: Implications for fluvial, glacial, and glaciofluvial activity. Icarus, Elsevier, 2021, 10.1016/j.icarus.2020.114131. hal-02958862 HAL Id: hal-02958862 https://hal.archives-ouvertes.fr/hal-02958862 Submitted on 6 Oct 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. 1 Sinuous Ridges in Chukhung Crater, Tempe Terra, Mars: 2 Implications for Fluvial, Glacial, and Glaciofluvial Activity. 3 Frances E. G. Butcher1,2, Matthew R. Balme1, Susan J. Conway3, Colman Gallagher4,5, Neil 4 S. Arnold6, Robert D. Storrar7, Stephen R. Lewis1, Axel Hagermann8, Joel M. Davis9. 5 1. School of Physical Sciences, The Open University, Walton Hall, Milton Keynes, MK7 6 6AA, UK. 7 2. Current address: Department of Geography, The University of Sheffield, Sheffield, S10 8 2TN, UK ([email protected]). -
A Fast Method for Calculation of Marine Gravity Anomaly
applied sciences Article A Fast Method for Calculation of Marine Gravity Anomaly Yuan Fang 1, Shuiyuan He 2,*, Xiaohong Meng 1,*, Jun Wang 1, Yongkang Gan 1 and Hanhan Tang 1 1 School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China; [email protected] (Y.F.); [email protected] (J.W.); [email protected] (Y.G.); [email protected] (H.T.) 2 Guangzhou Marine Geological Survey, China Geological Survey, Ministry of Land and Resources, Guangzhou 510760, China * Correspondence: [email protected] (S.H.); [email protected] (X.M.); Tel.: +86-136-2285-1110 (S.H.); +86-136-9129-3267 (X.M.) Abstract: Gravity data have been playing an important role in marine exploration and research. However, obtaining gravity data over an extensive marine area is expensive and inefficient. In reality, marine gravity anomalies are usually calculated from satellite altimetry data. Over the years, numer- ous methods have been presented for achieving this purpose, most of which are time-consuming due to the integral calculation over a global region and the singularity problem. This paper proposes a fast method for the calculation of marine gravity anomalies. The proposed method introduces a novel scheme to solve the singularity problem and implements the parallel technique based on a graphics processing unit (GPU) for fast calculation. The details for the implementation of the proposed method are described, and it is tested using the geoid height undulation from the Earth Gravitational Model 2008 (EGM2008). The accuracy of the presented method is evaluated by comparing it with marine shipboard gravity data. -
Appendix a Conceptual Geologic Model
Newberry Geothermal Energy Establishment of the Frontier Observatory for Research in Geothermal Energy (FORGE) at Newberry Volcano, Oregon Appendix A Conceptual Geologic Model April 27, 2016 Contents A.1 Summary ........................................................................................................................................... A.1 A.2 Geological and Geophysical Context of the Western Flank of Newberry Volcano ......................... A.2 A.2.1 Data Sources ...................................................................................................................... A.2 A.2.2 Geography .......................................................................................................................... A.3 A.2.3 Regional Setting ................................................................................................................. A.4 A.2.4 Regional Stress Orientation .............................................................................................. A.10 A.2.5 Faulting Expressions ........................................................................................................ A.11 A.2.6 Geomorphology ............................................................................................................... A.12 A.2.7 Regional Hydrology ......................................................................................................... A.20 A.2.8 Natural Seismicity ........................................................................................................... -
Martian Crater Morphology
ANALYSIS OF THE DEPTH-DIAMETER RELATIONSHIP OF MARTIAN CRATERS A Capstone Experience Thesis Presented by Jared Howenstine Completion Date: May 2006 Approved By: Professor M. Darby Dyar, Astronomy Professor Christopher Condit, Geology Professor Judith Young, Astronomy Abstract Title: Analysis of the Depth-Diameter Relationship of Martian Craters Author: Jared Howenstine, Astronomy Approved By: Judith Young, Astronomy Approved By: M. Darby Dyar, Astronomy Approved By: Christopher Condit, Geology CE Type: Departmental Honors Project Using a gridded version of maritan topography with the computer program Gridview, this project studied the depth-diameter relationship of martian impact craters. The work encompasses 361 profiles of impacts with diameters larger than 15 kilometers and is a continuation of work that was started at the Lunar and Planetary Institute in Houston, Texas under the guidance of Dr. Walter S. Keifer. Using the most ‘pristine,’ or deepest craters in the data a depth-diameter relationship was determined: d = 0.610D 0.327 , where d is the depth of the crater and D is the diameter of the crater, both in kilometers. This relationship can then be used to estimate the theoretical depth of any impact radius, and therefore can be used to estimate the pristine shape of the crater. With a depth-diameter ratio for a particular crater, the measured depth can then be compared to this theoretical value and an estimate of the amount of material within the crater, or fill, can then be calculated. The data includes 140 named impact craters, 3 basins, and 218 other impacts. The named data encompasses all named impact structures of greater than 100 kilometers in diameter. -
THE EARTH's GRAVITY OUTLINE the Earth's Gravitational Field
GEOPHYSICS (08/430/0012) THE EARTH'S GRAVITY OUTLINE The Earth's gravitational field 2 Newton's law of gravitation: Fgrav = GMm=r ; Gravitational field = gravitational acceleration g; gravitational potential, equipotential surfaces. g for a non–rotating spherically symmetric Earth; Effects of rotation and ellipticity – variation with latitude, the reference ellipsoid and International Gravity Formula; Effects of elevation and topography, intervening rock, density inhomogeneities, tides. The geoid: equipotential mean–sea–level surface on which g = IGF value. Gravity surveys Measurement: gravity units, gravimeters, survey procedures; the geoid; satellite altimetry. Gravity corrections – latitude, elevation, Bouguer, terrain, drift; Interpretation of gravity anomalies: regional–residual separation; regional variations and deep (crust, mantle) structure; local variations and shallow density anomalies; Examples of Bouguer gravity anomalies. Isostasy Mechanism: level of compensation; Pratt and Airy models; mountain roots; Isostasy and free–air gravity, examples of isostatic balance and isostatic anomalies. Background reading: Fowler §5.1–5.6; Lowrie §2.2–2.6; Kearey & Vine §2.11. GEOPHYSICS (08/430/0012) THE EARTH'S GRAVITY FIELD Newton's law of gravitation is: ¯ GMm F = r2 11 2 2 1 3 2 where the Gravitational Constant G = 6:673 10− Nm kg− (kg− m s− ). ¢ The field strength of the Earth's gravitational field is defined as the gravitational force acting on unit mass. From Newton's third¯ law of mechanics, F = ma, it follows that gravitational force per unit mass = gravitational acceleration g. g is approximately 9:8m/s2 at the surface of the Earth. A related concept is gravitational potential: the gravitational potential V at a point P is the work done against gravity in ¯ P bringing unit mass from infinity to P. -
Detection of Caves by Gravimetry
Detection of Caves by Gravimetry By HAnlUi'DO J. Cmco1) lVi/h plates 18 (1)-21 (4) Illtroduction A growing interest in locating caves - largely among non-speleolo- gists - has developed within the last decade, arising from industrial or military needs, such as: (1) analyzing subsUl'face characteristics for building sites or highway projects in karst areas; (2) locating shallow caves under airport runways constructed on karst terrain covered by a thin residual soil; and (3) finding strategic shelters of tactical significance. As a result, geologists and geophysicists have been experimenting with the possibility of applying standard geophysical methods toward void detection at shallow depths. Pioneering work along this line was accomplishecl by the U.S. Geological Survey illilitary Geology teams dUl'ing World War II on Okinawan airfields. Nicol (1951) reported that the residual soil covel' of these runways frequently indicated subsi- dence due to the collapse of the rooves of caves in an underlying coralline-limestone formation (partially detected by seismic methods). In spite of the wide application of geophysics to exploration, not much has been published regarding subsUl'face interpretation of ground conditions within the upper 50 feet of the earth's surface. Recently, however, Homberg (1962) and Colley (1962) did report some encoUl'ag- ing data using the gravity technique for void detection. This led to the present field study into the practical means of how this complex method can be simplified, and to a use-and-limitations appraisal of gravimetric techniques for speleologic research. Principles all(1 Correctiolls The fundamentals of gravimetry are based on the fact that natUl'al 01' artificial voids within the earth's sUl'face - which are filled with ail' 3 (negligible density) 01' water (density about 1 gmjcm ) - have a remark- able density contrast with the sUl'roun<ling rocks (density 2.0 to 1) 4609 Keswick Hoad, Baltimore 10, Maryland, U.S.A. -
Arxiv:2003.06799V2 [Astro-Ph.EP] 6 Feb 2021
Thomas Ruedas1,2 Doris Breuer2 Electrical and seismological structure of the martian mantle and the detectability of impact-generated anomalies final version 18 September 2020 published: Icarus 358, 114176 (2021) 1Museum für Naturkunde Berlin, Germany 2Institute of Planetary Research, German Aerospace Center (DLR), Berlin, Germany arXiv:2003.06799v2 [astro-ph.EP] 6 Feb 2021 The version of record is available at http://dx.doi.org/10.1016/j.icarus.2020.114176. This author pre-print version is shared under the Creative Commons Attribution Non-Commercial No Derivatives License (CC BY-NC-ND 4.0). Electrical and seismological structure of the martian mantle and the detectability of impact-generated anomalies Thomas Ruedas∗ Museum für Naturkunde Berlin, Germany Institute of Planetary Research, German Aerospace Center (DLR), Berlin, Germany Doris Breuer Institute of Planetary Research, German Aerospace Center (DLR), Berlin, Germany Highlights • Geophysical subsurface impact signatures are detectable under favorable conditions. • A combination of several methods will be necessary for basin identification. • Electromagnetic methods are most promising for investigating water concentrations. • Signatures hold information about impact melt dynamics. Mars, interior; Impact processes Abstract We derive synthetic electrical conductivity, seismic velocity, and density distributions from the results of martian mantle convection models affected by basin-forming meteorite impacts. The electrical conductivity features an intermediate minimum in the strongly depleted topmost mantle, sandwiched between higher conductivities in the lower crust and a smooth increase toward almost constant high values at depths greater than 400 km. The bulk sound speed increases mostly smoothly throughout the mantle, with only one marked change at the appearance of β-olivine near 1100 km depth. -
Sinuous Ridges in Chukhung Crater, Tempe Terra, Mars: Implications for Fluvial, Glacial, and Glaciofluvial Activity
This is a repository copy of Sinuous ridges in Chukhung crater, Tempe Terra, Mars: Implications for fluvial, glacial, and glaciofluvial activity. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/166644/ Version: Published Version Article: Butcher, F.E.G. orcid.org/0000-0002-5392-7286, Balme, M.R., Conway, S.J. et al. (6 more authors) (2021) Sinuous ridges in Chukhung crater, Tempe Terra, Mars: Implications for fluvial, glacial, and glaciofluvial activity. Icarus, 357. 114131. ISSN 0019-1035 https://doi.org/10.1016/j.icarus.2020.114131 Reuse This article is distributed under the terms of the Creative Commons Attribution (CC BY) licence. This licence allows you to distribute, remix, tweak, and build upon the work, even commercially, as long as you credit the authors for the original work. More information and the full terms of the licence here: https://creativecommons.org/licenses/ Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request. [email protected] https://eprints.whiterose.ac.uk/ Journal Pre-proof Sinuous ridges in Chukhung crater, Tempe Terra, Mars: Implications for fluvial, glacial, and glaciofluvial activity Frances E.G. Butcher, Matthew R. Balme, Susan J. Conway, Colman Gallagher, Neil S. Arnold, Robert D. Storrar, Stephen R. Lewis, Axel Hagermann, Joel M. Davis PII: S0019-1035(20)30473-5 DOI: https://doi.org/10.1016/j.icarus.2020.114131 Reference: YICAR 114131 To appear in: Icarus Received date: 2 June 2020 Revised date: 19 August 2020 Accepted date: 28 September 2020 Please cite this article as: F.E.G. -
Radar Sounder Evidence of Thick, Porous Sediments in Meridiani
PUBLICATIONS Geophysical Research Letters RESEARCH LETTER Radar sounder evidence of thick, porous sediments 10.1002/2017GL074431 in Meridiani Planum and implications Key Points: for ice-filled deposits on Mars • The MARSIS radar sounder has detected subsurface echoes deep Thomas R. Watters1 , Carl J. Leuschen2, Bruce A. Campbell1 , Gareth A. Morgan1 , within the Meridiani Planum deposits 3 1 4 5 • The time delay between surface and Andrea Cicchetti , John A. Grant , Roger J. Phillips , and Jeffrey J. Plaut subsurface echoes is consistent with 1 2 deposits having a low bulk value of Center for Earth and Planetary Studies, Smithsonian Institution, Washington, District of Columbia, USA, Center for Remote the real dielectric constant Sensing of Ice Sheets, University of Kansas, Lawrence, Kansas, USA, 3Infocom Department, La Sapienza University of Rome, • New compaction relationships for Rome, Italy, 4Department of Earth and Planetary Sciences and McDonnell Center for the Space Sciences, Washington Mars indicate that a low dielectric University, St. Louis, Missouri, USA, 5Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California, USA constant can be accounted for without invoking pore-filling water ice Abstract Meridiani Planum is one of the most intensely studied regions on Mars, yet little is known about Supporting Information: the physical properties of the deposits below those examined by the Opportunity rover. We report the • Supporting Information S1 detection of subsurface echoes within the Meridiani Planum deposits from data obtained by the Mars Advanced Radar for Subsurface and Ionospheric Sounding (MARSIS) instrument. The delay time between the Correspondence to: T. R. Watters, surface and subsurface returns is indicative of materials with a real dielectric constant of 3.6 ± 0.6.