Sir Jagdish Chandra Bose, James Clerk Maxwell and There On….. Dr
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Aitken Basin
Geological and geochemical analysis of units in the South Pole – Aitken Basin A.M. Borst¹,², F.S. Bexkens¹,², B. H. Foing², D. Koschny² ¹ Department of Petrology, VU University Amsterdam ² SCI-S. Research and Scientific Support Department, ESA – ESTEC Student Planetary Workshop 10-10-2008 ESA/ESTEC The Netherlands The South Pole – Aitken Basin Largest and oldest Lunar impact basin - Diameter > 2500 km - Depth > 12 km - Age 4.2 - 3.9 Ga Formed during Late heavy bombardment? Window into the interior and evolution of the Moon Priority target for future sample return missions Digital Elevation Model from Clementine altimetry data. Produced in ENVI, 50x vertical exaggeration, orthographic projection centered on the far side. Red +10 km, purple/black -10km. (A.M.Borst et.al. 2008) 1 The Moon and the SPA Basin Geochemistry Iron map South Pole – Aitken Basin mafic anomaly • High Fe, Th, Ti and Mg abundances • Excavation of mafic deep crustal / upper mantle material Thorium map Clementine 750 nm albedo map from USGS From Paul Lucey, J. Geophys. Res., 2000 Map-a-Planet What can we learn from the SPA Basin? • Large impacts; Implications and processes • Volcanism; Origin, age and difference with near side mare basalts • Cratering record; Age, frequency and size distribution • Late Heavy Bombardment; Intensity, duration and origin • Composition of the deeper crust and possibly upper mantle 2 Topics of SPA Basin study 1) Global structure of the basin (F.S. Bexkens et al, 2008) • Rims, rings, ejecta distribution, subsequent craters modifications, reconstructive -
March 21–25, 2016
FORTY-SEVENTH LUNAR AND PLANETARY SCIENCE CONFERENCE PROGRAM OF TECHNICAL SESSIONS MARCH 21–25, 2016 The Woodlands Waterway Marriott Hotel and Convention Center The Woodlands, Texas INSTITUTIONAL SUPPORT Universities Space Research Association Lunar and Planetary Institute National Aeronautics and Space Administration CONFERENCE CO-CHAIRS Stephen Mackwell, Lunar and Planetary Institute Eileen Stansbery, NASA Johnson Space Center PROGRAM COMMITTEE CHAIRS David Draper, NASA Johnson Space Center Walter Kiefer, Lunar and Planetary Institute PROGRAM COMMITTEE P. Doug Archer, NASA Johnson Space Center Nicolas LeCorvec, Lunar and Planetary Institute Katherine Bermingham, University of Maryland Yo Matsubara, Smithsonian Institute Janice Bishop, SETI and NASA Ames Research Center Francis McCubbin, NASA Johnson Space Center Jeremy Boyce, University of California, Los Angeles Andrew Needham, Carnegie Institution of Washington Lisa Danielson, NASA Johnson Space Center Lan-Anh Nguyen, NASA Johnson Space Center Deepak Dhingra, University of Idaho Paul Niles, NASA Johnson Space Center Stephen Elardo, Carnegie Institution of Washington Dorothy Oehler, NASA Johnson Space Center Marc Fries, NASA Johnson Space Center D. Alex Patthoff, Jet Propulsion Laboratory Cyrena Goodrich, Lunar and Planetary Institute Elizabeth Rampe, Aerodyne Industries, Jacobs JETS at John Gruener, NASA Johnson Space Center NASA Johnson Space Center Justin Hagerty, U.S. Geological Survey Carol Raymond, Jet Propulsion Laboratory Lindsay Hays, Jet Propulsion Laboratory Paul Schenk, -
A Beautiful Approach: Transformational Optics
A beautiful approach: “Transformational optics” [ several precursors, but generalized & popularized by Ward & Pendry (1996) ] warp a ray of light …by warping space(?) [ figure: J. Pendry ] Euclidean x coordinates transformed x'(x) coordinates amazing Solutions of ordinary Euclidean Maxwell equations in x' fact: = transformed solutions from x if x' uses transformed materials ε' and μ' Maxwell’s Equations constants: ε0, μ0 = vacuum permittivity/permeability = 1 –1/2 c = vacuum speed of light = (ε0 μ0 ) = 1 ! " B = 0 Gauss: constitutive ! " D = # relations: James Clerk Maxwell #D E = D – P 1864 Ampere: ! " H = + J #t H = B – M $B Faraday: ! " E = # $t electromagnetic fields: sources: J = current density E = electric field ρ = charge density D = displacement field H = magnetic field / induction material response to fields: B = magnetic field / flux density P = polarization density M = magnetization density Constitutive relations for macroscopic linear materials P = χe E ⇒ D = (1+χe) E = ε E M = χm H B = (1+χm) H = μ H where ε = 1+χe = electric permittivity or dielectric constant µ = 1+χm = magnetic permeability εµ = (refractive index)2 Transformation-mimicking materials [ Ward & Pendry (1996) ] E(x), H(x) J–TE(x(x')), J–TH(x(x')) [ figure: J. Pendry ] Euclidean x coordinates transformed x'(x) coordinates J"JT JµJT ε(x), μ(x) " ! = , µ ! = (linear materials) det J det J J = Jacobian (Jij = ∂xi’/∂xj) (isotropic, nonmagnetic [μ=1], homogeneous materials ⇒ anisotropic, magnetic, inhomogeneous materials) an elementary derivation [ Kottke (2008) ] consider× -
Thermodynamics in Earth and Planetary Sciences
Thermodynamics in Earth and Planetary Sciences Jibamitra Ganguly Thermodynamics in Earth and Planetary Sciences 123 Prof. Jibamitra Ganguly University of Arizona Dept. Geosciences 1040 E. Fourth St. Tucson AZ 85721-0077 Gould Simpson Bldg. USA [email protected] ISBN: 978-3-540-77305-4 e-ISBN: 978-3-540-77306-1 DOI 10.1007/978-3-540-77306-1 Library of Congress Control Number: 2008930074 c 2008 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik, Berlin Printed on acid-free paper 987654321 springer.com A theory is the more impressive the greater the simplicity of its premises, the more different kind of things it relates, and the more extended its area of applicability. Therefore the deep impression that classical thermodynamics made upon me. It is the only physical theory of universal content which I am convinced will never be overthrown, within the framework of applicability of its basic concepts. -
Slope - Geologic Age Relationships in Complex Lunar Craters C
49th Lunar and Planetary Science Conference 2018 (LPI Contrib. No. 2083) 2399.pdf SLOPE - GEOLOGIC AGE RELATIONSHIPS IN COMPLEX LUNAR CRATERS C. Rojas1, P. Mahanti1, M. S. Robinson1, LROC Team1, 1LROC Science Operation Center, School of Earth and Space Exploration, Arizona State University, Tempe, Arizona ([email protected]) Table 1: List of complex craters. *Copernican craters Introduction: Impact events leading to formation Crater D (km) Model Age (Ga) Lon Lat of basins and large craters dominate the early history Moore F* 24 0.041∓0.012 [8] 37.30 185.0 of the Moon [1] leading to kilometer scale topographic Wiener F* 30 0.017∓0.002 149.9740.90 variations on the lunar surface, with smaller crater [2], Klute W* 31 0.090∓0.007 216.7037.98 progressively introducing higher frequency topography. Necho* 37 0.080∓0.024 [8] 123.3 –5.3 Crater wall slopes represent most of the overall topo- Aristarchus* 40 0.175∓0.0095 312.5 23.7 graphic variation since many locations on the Moon are Jackson* 71 0.147∓0.038 [9] 196.7 22.1 craters. While impact events lead to the formation of McLaughlin 75 3.7∓0.1 [10] 267.1747.01 steep slopes [3], they are also primarily responsible for Pitiscus 80 3.8∓0.1 [10] 30.57 -50.61 landform degradation [4]. During crater formation, tar- Al-Biruni 80 3.8∓0.1 [10] 92.62 18.09 get properties and processes controlling structural sta- La Pérouse 80 3.6∓0.1 [10] -10.66 76.18 bility limit maximum slopes [4]. -
Maxwell Discovers That Light Is Electromagnetic Waves in 1862
MAXWELL DISCOVERS LIGHT IS ELECTROMAGNETIC WAVES James Clerk Maxwell was a Scottish scientist. He worked in the mid-nineteenth century in Scotland and England. At that time, electricity and magnetism had been extensively studied, and it was known since 1831 that electric current produces magnetism. Maxwell added the idea that changing magnetism could produce electricity. The term that Maxwell added to the known equations (called Ampere's law) for magnetism allowed Maxwell to see that there were wave-like solutions, that is, solutions that look like a sine wave (as a function of time). The numbers in Maxwell's equations all came from laboratory experiments on electric- ity and magnetism. There was nothing in those equations about light, and radio waves were completely unknown at the time, so the existence of electromagnetic waves was also completely unknown. But mathematics showed that Maxwell's equations had wave-like solutions. What did that mean? Maxwell proceeded to calculate the speed of those waves, which of course depended on the numbers that came from lab experiments with electricity and magnetism (not with light!). He got the answer 310,740,000 meters per second. Maxwell must have had an \aha moment" when he recognized that number. He did recognize that number: it was the speed of light! He was lecturing at King's College, London, in 1862, and there he presented his result that the speed of propagation of an electromagnetic field is approximately that of the speed of light. He considered this to be more than just a coincidence, and commented: \We can scarcely avoid the conclusion that light consists in the transverse undulations of the same medium which is the cause of electric and magnetic phenomena." 1 2 MAXWELL DISCOVERS LIGHT IS ELECTROMAGNETIC WAVES He published his work in his 1864 paper, A dynamical theory of the electromagnetic field. -
J Ames Clerk Maxwell and His Equations
GENERAL I ARTICLE James Clerk Maxwell and his Equations B N Dwivedi This article presents a brief account of life and work of James Clerk Maxwell and his equations. James Clerk Maxwell James Clerk Maxwell was a physicists' physicist, the prime author of the modern theory of colour vision, the principal B N Dwivedi does creator of statistical thermodynamics, and above all the author research in solar physics of the classical electromagnetic theory, with its identification of and teaches physics in light and electromagnetic waves. Maxwell's electromagnetic Banaras Hindu University. theory is acknowledged as one of the outstanding achievements He has over twenty two years of teaching of nineteenth century physics. If you wake up a physicist in the experience and broad middle of the night and say 'Maxwell', I am sure he will say experience in solar 'electromagnetic theory'. Einstein described the change brought research with involvement about by Maxwell in the conception of physical reality as "the in almost all the major solar space experiments, most profound and the most fruitful that physics has experi including Sky lab, Yohkoh, enced since the time of Newton". Maxwell's description of SOHO, and TRACE. The reality is represented in his double system of partial differential Max-Planck-Institut fur equations in which the electric and magnetic fields appear as Aeronomie recently awarded him the 'Gold dependent variables. Since Maxwell's time physical reality has Pin' in recognition of his been thought of as represented by continuous fields governed by outstanding contribution partial differential equations. The advent of quantum mechan to the SOHO/Sumer ics, rather than the theory of relativity, has produced a situation experiment. -
South Pole-Aitken Basin
Feasibility Assessment of All Science Concepts within South Pole-Aitken Basin INTRODUCTION While most of the NRC 2007 Science Concepts can be investigated across the Moon, this chapter will focus on specifically how they can be addressed in the South Pole-Aitken Basin (SPA). SPA is potentially the largest impact crater in the Solar System (Stuart-Alexander, 1978), and covers most of the central southern farside (see Fig. 8.1). SPA is both topographically and compositionally distinct from the rest of the Moon, as well as potentially being the oldest identifiable structure on the surface (e.g., Jolliff et al., 2003). Determining the age of SPA was explicitly cited by the National Research Council (2007) as their second priority out of 35 goals. A major finding of our study is that nearly all science goals can be addressed within SPA. As the lunar south pole has many engineering advantages over other locations (e.g., areas with enhanced illumination and little temperature variation, hydrogen deposits), it has been proposed as a site for a future human lunar outpost. If this were to be the case, SPA would be the closest major geologic feature, and thus the primary target for long-distance traverses from the outpost. Clark et al. (2008) described four long traverses from the center of SPA going to Olivine Hill (Pieters et al., 2001), Oppenheimer Basin, Mare Ingenii, and Schrödinger Basin, with a stop at the South Pole. This chapter will identify other potential sites for future exploration across SPA, highlighting sites with both great scientific potential and proximity to the lunar South Pole. -
Unravelling the Volcanic History of South Pole-Aitken Basin
42nd Lunar and Planetary Science Conference (2011) 2649.pdf UNRAVELLING THE VOLCANIC HISTORY OF SOUTH POLE-AITKEN BASIN. I. Antonenko1 and G.R. Osinski1, 1Centre for Planetary Science and Exploration & Canadian Lunar Research Network, University of West- ern Ontario, 1151 Richmond St., London, ON, Canada, [email protected]. Introduction: The South Pole-Aitken (SPA) basin is the largest known impact basin on the Moon, located on the south-central farside and measuring approx- imately 2,500 km in diameter [1]. It has been identified as a high priority science target [2], and is the selected destination for the proposed MoonRise sample return mission [3]. Therefore, it is important to understand the geology of SPA, including its volcanic history. Thus motivated, we have begun a large scale study of volcanism in SPA. Our goal is to identify and cha- racterize ancient cryptomare (hidden mare) deposits. We present our results to date. Data: We compiled a variety of different data sets for the central SPA region (Figure 1), including Cle- mentine UVVIS, FeO [4], optical maturity [5], and LOLA topography data, all at a resolution of 1 km/pix. In addition, geologic maps [6,7,8] were corregisted a) and layered on the data. High resolution LROC images were also obtained and examined for selected targets. Method: Cryptomare are generally identified and characterized using dark-haloed craters (DHC’s) [9, 10]. Historically, DHC’s have been identified by the presence of a mature, low albedo halo surrounding an impact crater [9]. However, with the proliferation of new data sets, excavation of basalts can also be identi- fied using the presence of Fe anomalies and basalt spectra in and around craters [10]. -
Summary of Sexual Abuse Claims in Chapter 11 Cases of Boy Scouts of America
Summary of Sexual Abuse Claims in Chapter 11 Cases of Boy Scouts of America There are approximately 101,135sexual abuse claims filed. Of those claims, the Tort Claimants’ Committee estimates that there are approximately 83,807 unique claims if the amended and superseded and multiple claims filed on account of the same survivor are removed. The summary of sexual abuse claims below uses the set of 83,807 of claim for purposes of claims summary below.1 The Tort Claimants’ Committee has broken down the sexual abuse claims in various categories for the purpose of disclosing where and when the sexual abuse claims arose and the identity of certain of the parties that are implicated in the alleged sexual abuse. Attached hereto as Exhibit 1 is a chart that shows the sexual abuse claims broken down by the year in which they first arose. Please note that there approximately 10,500 claims did not provide a date for when the sexual abuse occurred. As a result, those claims have not been assigned a year in which the abuse first arose. Attached hereto as Exhibit 2 is a chart that shows the claims broken down by the state or jurisdiction in which they arose. Please note there are approximately 7,186 claims that did not provide a location of abuse. Those claims are reflected by YY or ZZ in the codes used to identify the applicable state or jurisdiction. Those claims have not been assigned a state or other jurisdiction. Attached hereto as Exhibit 3 is a chart that shows the claims broken down by the Local Council implicated in the sexual abuse. -
Graduate Statistical Mechanics
Graduate Statistical Mechanics Leon Hostetler December 16, 2018 Version 0.5 Contents Preface v 1 The Statistical Basis of Thermodynamics1 1.1 Counting States................................. 1 1.2 Connecting to Thermodynamics........................ 4 1.3 Intensive and Extensive Parameters ..................... 7 1.4 Averages..................................... 8 1.5 Summary: The Statistical Basis of Thermodynamics............ 9 2 Ensembles and Classical Phase Space 13 2.1 Classical Phase Space ............................. 13 2.2 Liouville's Theorem .............................. 14 2.3 Microcanonical Ensemble ........................... 16 2.4 Canonical Ensemble .............................. 20 2.5 Grand Canonical Ensemble .......................... 29 2.6 Summary: Ensembles and Classical Phase Space .............. 32 3 Thermodynamic Relations 37 3.1 Thermodynamic Potentials .......................... 37 3.2 Fluctuations................................... 44 3.3 Thermodynamic Response Functions..................... 48 3.4 Minimizing and Maximizing Thermodynamic Potentials.......... 49 3.5 Summary: Thermodynamic Relations .................... 51 4 Quantum Statistics 55 4.1 The Density Matrix .............................. 55 4.2 Indistinguishable Particles........................... 57 4.3 Thermodynamic Properties .......................... 59 4.4 Chemical Potential............................... 63 4.5 Summary: Quantum Statistics ........................ 65 5 Boltzmann Gases 67 5.1 Kinetic Theory................................. 68 -
Magnetic Signature of the Lunar South Pole-Aitken Basin: Character, Origin, and Age Michael E
JOURNAL OF GEOPHYSICAL RESEARCH, VOL. ???, XXXX, DOI:10.1029/, Magnetic signature of the lunar South Pole-Aitken Basin: Character, origin, and age Michael E. Purucker,1 and James W. Head III,2 and Lionel Wilson3 Abstract. A new magnetic map of the Moon, based on Lunar Prospector (LP) mag- netometer observations, sheds light on the origin of the South Pole-Aitken Basin (SPA), the largest and oldest of the recognized lunar basins. A set of WNW-trending linear to arcuate magnetic features, evident in both the radial and scalar observations, covers much of a 1000 km wide region centered on the NW portion of SPA. The source bodies are not at the surface because the magnetic features show no first-order correspondence to any surface topographic or structural feature. Patchy mare basalts of possible late Imbrian- age are emplaced within SPA and are inferred to have been emplaced through dikes, di- rectly from mantle sources. We infer that the magnetic features represent dike swarms that served as feeders for these mare basalts, as evident from the location of the Thom- son/Mare Ingenii, Van de Graaff, and Leeuwenhoek mare basalts on the two largest mag- netic features in the region. Modeling suggests that the dike zone is between 25 and 50 km wide at the surface, and dike magnetization contrasts are in the range of 0.2 A/m. We theorize that the basaltic dikes were emplaced in the lunar crust when a long-lived dynamo was active. Based on pressure, temperature, and stress conditions prevalent in the lunar crust, dikes are expected to be a dominantly subsurface phenomenon, consis- tent with the observations reported here.