Ozone Profile Retrieval from Nadir TROPOMI Measurements in the UV
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Astronomy 518 Astrometry Lecture
Astronomy 518 Astrometry Lecture Astrometry: the branch of astronomy concerned with the measurement of the positions of celestial bodies on the celestial sphere, conditions such as precession, nutation, and proper motion that cause the positions to change with time, and corrections to the positions due to distortions in the optics, atmosphere refraction, and aberration caused by the Earth’s motion. Coordinate Systems • There are different kinds of coordinate systems used in astronomy. The common ones use a coordinate grid projected onto the celestial sphere. These coordinate systems are characterized by a fundamental circle, a secondary great circle, a zero point on the secondary circle, and one of the poles of this circle. • Common Coordinate Systems Used in Astronomy – Horizon – Equatorial – Ecliptic – Galactic The Celestial Sphere The celestial sphere contains any number of large circles called great circles. A great circle is the intersection on the surface of a sphere of any plane passing through the center of the sphere. Any great circle intersecting the celestial poles is called an hour circle. Latitude and Longitude • The fundamental plane is the Earth’s equator • Meridians (longitude lines) are great circles which connect the north pole to the south pole. • The zero point for these lines is the prime meridian which runs through Greenwich, England. PrimePrime meridianmeridian Latitude: is a point’s angular distance above or below the equator. It ranges from 90° north (positive) to 90 ° south (negative). • Longitude is a point’s angular position east or west of the prime meridian in units ranging from 0 at the prime meridian to 0° to 180° east (+) or west (-). -
Planet Imagery Product Specifications
PLANET IMAGERY PRODUCT SPECIFICATIONS [email protected] | PLANET.COM LAST UPDATED JANUARY 2018 TABLE OF CONTENTS LIST OF FIGURES _______________________________________________________________________________________ 3 LIST OF TABLES ________________________________________________________________________________________ 4 GLOSSARY ____________________________________________________________________________________________ 5 1. OVERVIEW OF DOCUMENT _____________________________________________________________________________ 7 1.1 Company Overview _________________________________________________________________________________ 7 1.2 Data Product Overview ______________________________________________________________________________ 7 2. SATELLITE CONSTELLATION AND SENSOR OVERVIEW _____________________________________________________ 8 2.1 PlanetScope Satellite Constellation and Sensor Characteristics ______________________________________________ 8 2.2 RapidEye Satellite Constellation and Sensor Characteristics ________________________________________________ 8 2.3 SkySat Satellite Constellation and Sensor Characteristics ___________________________________________________ 9 3. PLANETSCOPE IMAGERY PRODUCTS ____________________________________________________________________ 10 3.1 PlanetScope Basic Scene Product Specification _________________________________________________________ 10 3.2 PlanetScope Ortho Scenes Product Specification _________________________________________________________ 11 3.2.1 PlanetScope Visual Ortho Scene Product -
Imagery Fundamentals
Chapter 3 Imagery Fundamentals Introduction Imagery is collected by remote sensing systems managed by either public or private organizations. It is characterized by a complex set of variables, including • collection characteristics: image spectral, radiometric, and spatial resolutions, view- ing angle, temporal resolution, and extent; and • organizational characteristics: image price and licensing and accessibility. The choice of which imagery to use in a project will be determined by matching the project’s requirements, budget, and schedule to the characteristics of available imagery. Making this choice requires understanding what factors influence image characteristics. This chapter provides the fundamentals of imagery by first introducing the components and features of remote sensing systems, and then showing how they combine to influence imag- ery collection characteristics. The chapter ends with a review of the organizational factors that also characterize imagery. The focus of this chapter is to provide an understanding of imagery that will allow the reader to 1) rigorously evaluate different types of imagery within the context of any geospatial application, and 2) derive the most value from the imagery chosen. ImageryGIS_Book.indb 27 8/17/17 1:48 PM Collection Characteristics Image collection characteristics are affected by the remote sensing system used to collect the imagery. Remote sensing systems comprise sensors that capture data about objects from a distance, and platforms that support and transport sensors. For example, humans are remote sensing systems because our bodies, which are platforms, support and trans- port our sensors—our eyes, ears, and noses—which detect visual, audio, and olfactory data about objects from a distance. Our brains then identify/classify this remotely sensed data into information about the objects. -
Astronomy 518 Astrometry Lecture
Astrometry Coordinate Systems • There are different kinds of coordinate systems used in astronomy. The common ones use a coordinate grid projected onto the celestial sphere. These coordinate systems are characterized by a fundamental circle, a secondary great circle, a zero point on the secondary circle, and one of the poles of this circle. • Common Coordinate Systems Used in Astronomy – Horizon – Equatorial – Ecliptic – Galactic The Celestial Sphere A great circle is the intersection on the surface of a sphere of any plane passing through the center of the sphere. Any great circle intersecting the celestial poles is called an hour circle. Latitude and Longitude • The fundamental plane is the Earth’s equator • Meridians (longitude lines) are great circles which connect the north pole to the south pole. • The zero point for these lines is the prime meridian which runs through Greenwich, England. Prime meridian Latitude: is a point’s angular distance above or below the equator. It ranges from 90° north (positive) to 90 ° south (negative). • Longitude is a point’s angular position east or west of the prime meridian in units ranging from 0 at the prime meridian to 0° to 180° east (+) or west (-). equator Horizon Coordinate system Zenith: The point on the celestial sphere that lies vertically above an observer and is 90o from all points on the horizon Nadir: The point on the celestial sphere that lies directly beneath an observer. It is diametrically opposite the zenith.. The celestial meridian is great circle that intersects the zenith, the nadir, and the celestial poles. The astronomical horizon is a great circle on the celestial sphere which is perpendicular to the zenith-nadir axis. -
Equilibrium Tides
Equilibrium Tides Along with surface gravity waves, the predictable rise and fall of sea level at the coast are our most familiar periodic motions. These tides do not represent a new class of waves, but rather are the manifestation of strong forcing at precisely repeating periods. Gravitational tide-producing forces originating with the moon and the sun occur at periods of about twice per day (semidiurnal). The ocean response to these forces is in the form of barotropic surface gravity waves. (Interaction of the barotropic tides with topography can then also generate baroclinic internal gravity waves, as we have seen.) Since the periods are relatively long compared to the rotation period, the Coriolis force has a role, and the tides propagate as Poincare (inertia-gravity) waves and Kelvin waves. Observations of tides The methods of observing tides have evolved from the simple and straightforward local measurement to the use of satellite sensors: • Classical method -- rod with scale -- height recorded hourly by visual observations. • Float type recorders. Stilling well (to reduce effects of waves and wind) with a float on a lever arm. Arm connected to analog recording device like a chart recorder. • Pressure sensors. Pressure recorded at a fixed depth (say 10 m) is converted to an equivalent sea level using the hydrostatic equation. • Radar altimetry. Measures variations in distance from an orbiting satellite to the surface of the ocean and use satellite altitude to infer sea level. The altimeter has fostered a surge of interest in tides because sea level in the deep ocean is now measured globally. A network of tide gauges at island stations was the primary tool for tidal analysis previously and this network has been used in conjunction with the altimeter to improve the radar’s calibration, as well as to improve the tide estimates. -
The Physics of the Oceanic Tides
The Physics of the Oceanic Tides Eugene I. Butikov St. Petersburg State University, St. Petersburg, Russia Abstract Common misconceptions about tides encountered in the literature are briefly dis- cussed. A physically transparent simple but rigorous derivation of tide-generating forces is suggested, followed by a dynamical treatment of the tidal wave in a sim- plified model of the ocean as a water shell of equal depth wholly covering the globe. Novelty of our approach consists in representing tide-generating forces as two quadrupole systems of oscillating forces with axes of symmetry making 45◦ an- gle with one another. The dynamical response of the ocean to these time-dependent forces is found as steady-state forced oscillations in a linear system. The treatment is appropriate for scientists in oceanography, geosciences and astronomy, and also for a wide readership, including non-specialists and enthusiasts interested in the phe- nomenon. A set of simulations is developed to aid understanding the phenomenon of tides, which is of great general interest due to its cosmic nature. Keywords: tide-generating forces, reference frames, tidal bulges, forced oscilla- tions, tidal wave, phase lag. 1 Common misconceptions about the tides Numerous treatments of tides encountered in some textbooks and web sites are either plainly wrong or at least misleading. The authors who write about tides usually don’t get into the physics theory much. Comprehensive discussions of typical textbook and media mistakes are presented on the web by Donald Simanek (2015). Various misleading repre- sentations of tides in press and media are discussed by Mikolaj Sawicki (1999). Some of the misconceptions are the result of their author’s misunderstandings. -
Modern Theory and Practice of Tide Analysis and Tidal Power
MODERN THEORY AND PRACTICE OF TIDE ANALYSIS AND TIDAL POWER Professor Zygmunt Kowalik College of Fisheries and Ocean Sciences, University of Alaska, Fairbanks Dr John L Luick South Australian Research and Development Institute, Adelaide Copyright © 2019 Individuals are free and welcome to copy and distribute this publication in whole or part, as long as the original authors are duly acknowledged. First edition: August 2019 Publisher: Austides Consulting 34 Chitunga Road Eden Hills South Australia, 5050 Australia www.austides.com Title page photo: Flooding from Hurricane Florence, North Carolina, September 2018. By permission. i Table of Contents Chapter I: Tidal forces .......................... 5 1. Basics of celestial mechanics . 5 2. Tide–producing forces . 8 3. Equilibrium tides . 13 4. The orbits of Earth and Moon . 20 5. The harmonic constituents of the equilibrium tide . 26 6. The origins of major tidal variations . 34 7.Nodalphase............................36 8. Longitude formulas . 38 References..............................40 Chapter II: Basic equations .......................43 1. Rectangular and spherical system of coordinates . 43 2. Total tidal potential . 45 3. Energy equation . 48 4. Free tidal waves in a channel . 50 5. Energy considerations . 53 5a.Energyflux..........................53 5b. Kinetic and potential energy . 55 6. Free tidal waves in two-dimensional geometry . 56 7.Kelvinwave............................59 8.Sverdrupwave...........................62 9.Shelfwaves............................64 10. Tidal motion enhancement around islands and seamounts . 66 10a. Trapped tidal motion around islands . 68 10b. Residual tidal circulation around islands . 70 References..............................74 Chapter III: Tidal current ........................77 1. Bottom boundary layer . 77 2. Vertical changes in the eddy viscosity . 81 3. Influence of the stratification . 84 4. -
Tides Supplement
Tides Supplement Brian Arbic OVERVIEW QUESTIONS • What causes the tides? • How is a lunar day different from a solar day? • Which body creates a larger tidal influence on Earth: the Moon or the Sun? • How do the relative positions of the Earth-Moon- Sun affect the tidal range on Earth? • What are differences between diurnal, semidiurnal, and mixed tidal patterns? • What do tides really look like in the ocean? • What tools are used in modern tidal research? What causes the tides? • Tides are very long and regular shallow-water waves, causing periodic (predictable) changes in sea level and currents. • The lunar equilibrium tide (idealized tide) is due to the difference between the gravitational attraction of the Moon on the ocean and the centripetal forces due to orbital rotation of the Moon and Earth around their common barycenter (center of mass) • The same physics also apply to the Earth-Sun system, thus yielding a solar equilibrium tide • The actual tides are a complex response of the ocean system—involving friction, rotation, the shape of the seafloor, the placement of continents, and motions of the solid earth—to the much simpler equilibrium tide. Earth-Moon system rotation • Barycenter between Moon and Earth revolves around Sun Gravitational forces • Every particle attracts every other particle • Gravitational force proportional to product of masses • Inversely proportional to square of separation distance r 2 • F=GM1M2/r • The gravitational force is largest on the side of the Earth closer to the moon and least on the side further from the Moon. The force is always directed toward the center of the Moon. -
Geodesy Fundamentals
Geodesy Fundamentals MN Society of Professional Surveyors 68th Annual Meeting Dave Zenk PE LS NGS Northern Plains Regional Advisor February 19-21, 2020 Duluth MN February 19, 2019 2020 MSPS Annual Meeting, Duluth MN 1 SPCS2022 Webinar • Webinar on State Plane Coordinates on March 8, 2018 by Michael Dennis https://geodesy.noaa.gov/web/science_edu/webinar_series/Webinars.shtml February 19, 2019 2020 MSPS Annual Meeting, Duluth MN 2 Class Outline • Review the basics – Astronomy – Geodetic Systems – Datums – Map Projections – GPS February 19, 2019 2020 MSPS Annual Meeting, Duluth MN 3 Astronomy https://www.blm.gov/cadastral/Manual/73man/id34.htm Sections 2-53 to 73 • Earth, Sun, Stars System – Earth Orbit around Sun – Geometry and Vocabulary • Practical Astronomy and Celestial Coordinates – Altitude-Azimuth System – Right Ascension-Declination System – Sidereal Hour Angle – Local Hour Angle System – PZS Triangle – Methods for finding latitude, longitude, and azimuth. Elgin, Knowles & Senne, Inc. (Archer-Elgin) 310 E. 6th St., Rolla, MO 65401 http://www.rollanet.org/~eksi/2008EPHEM.pdf February 19, 2019 2020 MSPS Annual Meeting, Duluth MN 4 Astronomy • Earth’s Elliptical Orbit Around the Sun (Northern Hemisphere) – 1) Winter Solstice (December 21) • Perihelion (January 3) – 2) Spring Equinox (March 21) – 3) Summer Solstice (June 21) • Aphelion (July 3) Perihelion = closest to sun – 4) Autumn Equinox (September 21) on January 3 (147 M km) Semi-dia = 0-16’-15.9” 23.5 degree axis tilt from ecliptic plane closer to sun further from sun Aphelion = furthest from sun on July 3 (152 M km) Semi-dia = 0-15’-43.9” Image by NASA February 19, 2019 2020 MSPS Annual Meeting, Duluth MN 5 Astronomy • Intersection of Orbital Plane and Equatorial Plane forms a line which points to First Point of Aries, γ (vernal equinox) and First Point of Libra, Ω (autumnal equinox) • Astronomers prefer the vernal equinox and so it is the reference point in the sky. -
Notes on Satellite Meteorology
REMOTE SENSING APPLICATIONS WITH METEOROLOGICAL SATELLITES by W. Paul Menzel University of Wisconsin Madison, WI November 2012 © 2012 W. Paul Menzel These notes, compiled for classroom reading, are derived from discussions, collaborations, efforts, and papers of many colleagues, acquaintenances, and peers in the remote sensing community. 2 TABLE OF CONTENTS Page CHAPTER 1 - EVOLUTION OF SATELLITE METEOROLOGY 1.1 Before Satellites 8 1.2 Evolution of the Polar Orbiting Satellites 8 1.3 The Geostationary Program 14 1.4 Data Processing Capability 17 1.5 Impact of Satellite Data on NWP 18 1.6 Summary 19 CHAPTER 2 - NATURE OF RADIATION 2.1 Remote Sensing of Radiation 26 2.2 Basic Units 26 2.3 Definitions of Radiation 27 2.4 Historical Development of Planck's Radiation Law 29 2.5 Related Derivations 31 2.5.1 Wien’s Displacement Law 31 2.5.2 Rayleigh-Jeans Radiation Law 32 2.5.3 Wien’s Radiation Law 33 2.5.4 Stefan-Boltzmann Law 33 2.5.5 Brightness Temperature 34 CHAPTER 3 - ABSORPTION, EMISSION, REFLECTION, AND SCATTERING 3.1 Absorption and Emission 41 3.2 Conservation of Energy 41 3.3 Planetary Albedo 42 3.4 Selective Absorption and Emission 42 3.5 Absorption (Emission) Line Formation 44 3.6 Vibrational and Rotational Spectra 46 3.7 Summary of Interactions between Radiation and Matter 47 3.8 Beer's Law and Schwarzchild's Equation 48 3.9 Atmospheric Scattering 51 3.10 The Solar Spectrum 52 3.11 Composition of the Earth's Atmosphere 53 3.12 Atmospheric Absorption and Emission of Solar Radiation 53 3.13 Atmospheric Absorption and Emission of Thermal -
Annex 1: Additional Technical Information on ISS Capabilities and Background Information
Research Announcement for ISS Experiments relevant to study Global Climate Change Annex 1: Additional technical Information on ISS capabilities and background information - 1 - Research Announcement for ISS Experiments relevant to study Global Climate Change Figure 1: ISS Elements Flight Direction - 2 - Research Announcement for ISS Experiments relevant to study Global Climate Change Annex 1 Table of Content 1 Reference Documents .................................................................................5 2 Acronyms.....................................................................................................6 2.1 Overview: The ISS as an observation platform for climate change studies...................................................................................................8 2.1.1 Key Characteristics of ISS..........................................................8 2.1.2 Instrument accommodation ......................................................10 External instrument mounting locations ..................................................10 Internal instrument mounting locations ...................................................11 3 Detailed technical information on ISS capabilities and background information .....................................................................................................13 3.1 ISS Overview ................................................................................13 3.2 ISS Orbital and attitude characteristics .........................................14 3.3 ISS vibration -
Earth Science Research on the International Space Station
Earth Science Research on the International Space Station Committee on Earth Science and Applications from Space (CESAS) Space Studies Board National Academies of Science, Engineering, Medicine 29 March 2016 Julie A. Robinson, Ph.D., Chief Scientist, International Space Station [email protected] William L. Stefanov, Ph.D., Associate ISS Program Scientist for Earth Observations and Astromaterials Research and Exploration Science Division [email protected] Remote sensing of Earth: Why ISS? Polar orbit • Sun-synchronous – designed for long term repeatability of data • Typically nadir viewing, crosses every point on Earth ~ 12-14 days near local solar noon/local midnight • Landsat series collecting data since 1972 • Pointing capability, satellite constellations Inclined Equatorial Orbit: ISS • Sun-asynchronous – similar illumination 3-4 days every 90 days • Nadir to highly oblique imagery possible from hand-held cameras, WORF, external sensors • Provides opportunity to collect unique datasets for scientific study, disaster response • Data is complementary to polar-orbiting satellite data • Opportunity for instrument cross- calibration Earth Science • Platform with full services (power, data, thermal) in LEO (~400 km) – All geographic locations between 51.6 North and South latitude – 85% of the Earth’s surface – 95% of the world’s populated landmass every 1-3 days – External sites for nadir, zenith, ram and wake – Variable (and precessing) lighting (changes with subsequent passes) – Well-suited for test bed concepts with hardware