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Henry Cavendish and the Effect of Gravity on Propagation of Light
Eur. Phys. J. H (2021) 46:24 THE EUROPEAN https://doi.org/10.1140/epjh/s13129-021-00027-4 PHYSICAL JOURNAL H Regular Article Henry Cavendish and the effect of gravity on propagation of light: a postscript Karl-Heinz Lotze and Silvia Simionatoa Friedrich Schiller Universit¨at Jena, Physikalisch-Astronomische Fakult¨at, Jena, Germany Received 21 April 2021 / Accepted 13 August 2021 © The Author(s) 2021 Abstract This paper is devoted to two hitherto unpublished original documents by Henry Cavendish (1731–1810) which provide insight into his calculations of the deflection of light by isolated celestial bodies. Together with a transcription of these documents, we comment on their contents in the present-day language of physics. Moreover, we compare them with a paper by Johann Georg von Soldner (1776–1833) on the same subject. 1 Introduction The history of ideas about the deflection of light by the gravitational attraction of celestial bodies goes back to the times of Isaac Newton (1642–1726). In fact, in his book Opticks [18] he, in 1704, asks the question (3rd Book, Query No. 1): Do not Bodies act upon Light at a distance, and by their action bend its Rays, and is not this action (caeteris paribus) strongest at the least distance? Another of his queries even gives us an idea of how Newton imagined light itself (Query No. 29): Are not the Rays of Light very small Bodies emitted from shining Substances? However, the first published calculation of this kind of light deflection goes back to the German astronomer and geodesist Johann Georg von Soldner (1776–1833) [25]. -
The Demographics of Massive Black Holes
The fifth element: astronomical evidence for black holes, dark matter, and dark energy A brief history of astrophysics • Greek philosophy contained five “classical” elements: °earth terrestrial; subject to °air change °fire °water °ether heavenly; unchangeable • in Greek astronomy, the universe was geocentric and contained eight spheres, seven holding the known planets and the eighth the stars A brief history of astrophysics • Nicolaus Copernicus (1473 – 1543) • argued that the Sun, not the Earth, was the center of the solar system • the Copernican Principle: We are not located at a special place in the Universe, or at a special time in the history of the Universe Greeks Copernicus A brief history of astrophysics • Isaac Newton (1642-1747) • the law of gravity that makes apples fall to Earth also governs the motions of the Moon and planets (the law of universal gravitation) ° thus the square of the speed of a planet in its orbit varies inversely with its radius ⇒ the laws of physics that can be investigated in the lab also govern the behavior of stars and planets (relative to Earth) A brief history of astrophysics • Joseph von Fraunhofer (1787-1826) • discovered narrow dark features in the spectrum of the Sun • realized these arise in the Sun, not the Earth’s atmosphere • saw some of the same lines in the spectrum of a flame in his lab • each chemical element is associated with a set of spectral lines, and the dark lines in the solar spectrum were caused by absorption by those elements in the upper layers of the sun ⇒ the Sun is made of the same elements as the Earth A brief history of astrophysics ⇒ the Sun is made of the same elements as the Earth • in 1868 Fraunhofer lines not associated with any known element were found: “a very decided bright line...but hitherto not identified with any terrestrial flame. -
Einstein's Gravitational Field
Einstein’s gravitational field Abstract: There exists some confusion, as evidenced in the literature, regarding the nature the gravitational field in Einstein’s General Theory of Relativity. It is argued here that this confusion is a result of a change in interpretation of the gravitational field. Einstein identified the existence of gravity with the inertial motion of accelerating bodies (i.e. bodies in free-fall) whereas contemporary physicists identify the existence of gravity with space-time curvature (i.e. tidal forces). The interpretation of gravity as a curvature in space-time is an interpretation Einstein did not agree with. 1 Author: Peter M. Brown e-mail: [email protected] 2 INTRODUCTION Einstein’s General Theory of Relativity (EGR) has been credited as the greatest intellectual achievement of the 20th Century. This accomplishment is reflected in Time Magazine’s December 31, 1999 issue 1, which declares Einstein the Person of the Century. Indeed, Einstein is often taken as the model of genius for his work in relativity. It is widely assumed that, according to Einstein’s general theory of relativity, gravitation is a curvature in space-time. There is a well- accepted definition of space-time curvature. As stated by Thorne 2 space-time curvature and tidal gravity are the same thing expressed in different languages, the former in the language of relativity, the later in the language of Newtonian gravity. However one of the main tenants of general relativity is the Principle of Equivalence: A uniform gravitational field is equivalent to a uniformly accelerating frame of reference. This implies that one can create a uniform gravitational field simply by changing one’s frame of reference from an inertial frame of reference to an accelerating frame, which is rather difficult idea to accept. -
Fraunhofer Lines and the Composition of the Sun 1 Summary 2 Papers and Datasets 3 Scientific Background
Fraunhofer lines and the composition of the Sun 1 Summary The purpose of this lab is for you to examine the spectrum of the Sun, to learn about the composition of the Sun (it’s not just hydrogen and helium!), and to understand some basic concepts of spectroscopy. 2 Papers and datasets These documents are all available on the course web page. • Low resolution spectrum of the Sun (from the National Solar Observatory) • Absorption lines of various elements (from laserstars.org and NASA’s Goddard Space Flight Center) • Table of abundances in the Sun 3 Scientific background 3.1 Spectroscopy At its most basic level, spectroscopy is simply splitting light up into different wavelengths. The classic example is a prism: white light goes in, and a rainbow comes out. Spectroscopy for physics and astronomy usually drops the output onto some kind of detector that records the flux at different wavelengths as a “stripe” across the detector. In other words, the output is a data table that lists the measured flux as a function of pixel number. An critical aspect of spectroscopy is wavelength calibration: what wavelength corresponds to which pixel number? Note that that relationship does not have to be — and is often not — linear. That is, the mapping of wavelength to pixel is not a linear relationship, but something more complicated. 3.2 The Sun The Sun is mostly hydrogen and after that mostly helium. You have learned about the fusion processes in the Sun and in other stars that gradually convert hydrogen to helium and then, for some stars, onward to carbon, nitrogen, and oxygen (CNO cycle), and further upward through the periodic table to iron. -
SCIENTIFIC CASE: What Are the Stars Made Of?1
Ages: 15 to 17 years old SCIENTIFIC CASE: What are the stars made of?1 Team members Writer: ____________________________________________________ Computer technician: __________________________________________________ Reader: ____________________________________________________ Spokesperson: ____________________________________________________ Ambassador: ___________________________________________________ Context In 1671, Isaac Newton (1643-1727) described how, when a ray of sunlight goes through a crystal prism with a particular angle, it splits showing different colours.. Fig.1: Newton's Experimentum Crucis (Grusche 2015) -fragment | Fig.2: Prism splitting white light into spectral colours. 1 Educational material manufacturated by “Asociación Planeta Ciencias” under the initiative and coordination of the European Space Agency inside the CESAR program framework. Source: Wikimedia.org . Newton also explained that light coming from stars other than the Sun would also be separated by a prism in a similar fashion. Fig 3. Comparison between a Fig 4. Joseph von Fraunhofer (1787 - 1826) prism and a diffraction grating. Source: Museo Alemán de Munich Source: Wikimedia.org More than a century later, in the first years of the 19th Century, Joseph von Fraunhofer (1787-1826) took a big step – he replaced the prism by a more effective optical component: a diffraction grating. This grating had de ability to separate or diffract light into several, more distinguishable rays. That way, Fraunhofer could split sunlight with a better resolution and, when he did, he found out something extraordinary: light wasn't continuous, but had black lines along the spectrum. Fig 5. Fraunhofer's lines. Source: Wikimedia.org So, what do these black lines mean? The Sun emits light due to its high temperature but, on its way from the inside to space, elements in the star absorb part of that light. -
Kunstband "Das Maximilianeum"
ISBN 978-3-7954-2420-6 Das Maximilianeum The Maximilianeum Das Maximilianeum The Maximilianeum Das Maximilianeum The Maximilianeum Das Maximilianeum The Maximilianeum Inhalt Contents Der Bayerische Landtag bedankt sich bei seinem langjährigen Fotografen, Rolf Poss, 6 Eine königliche Idee 80 Der Plenarsaal Siegsdorf, für die Mitwirkung an diesem Bildband. A Royal Idea The Plenary Room The Bavarian Parliament thanks its longstanding photographer, Rolf Poss of 10 Ein königlicher Architekt 86 Der Senatssaal Siegsdorf, for his participation in this illustrated book. A Royal Architect The Senate Room 15 Die Stiftung Maximilianeum 90 Kreuzgang und Steinerner Saal The Maximilian Foundation The Gallery with Crucifix and Stone Hall 16 Der Grundstein 94 Der Lesesaal nach 1945 The Foundation Stone The Reading Room after 1945 Bibliografische Information der Deutschen Nationalbibliothek Bibliographic information published by the Deutsche Nationalbibliothek Die Deutsche Nationalbibliothek verzeichnet diese Publikation The Deutsche Nationalbibliothek lists this publication in the Deutsche 21 Die Fassadengestaltung 98 Das Konferenzzimmer nach 1945 in der Deutschen Nationalbibliografie; detaillierte bibliografische Nationalbibliografie; detailed bibliographic data are available in the The Design of the Facade The Conference Room after 1945 Daten sind im Internet über http://dnb.d-nb.de abrufbar. Internet at http://dnb.d-nb.de. 28 Mosaiken 100 Die Galerie der Landtagspräsidenten Mosaics The Gallery of State Parliament Presidents 1. Auflage 2011 First edition 2011 32 Büsten und Statuen 102 Majoliken Portrait Busts and Statues Majolicas ISBN 978-3-7954-2420-6 ISBN 978-3-7954-2420-6 42 Die Gemäldegalerie 104 Die Galerie der Senatspräsidenten © Bayerischer Landtag © Bayerischer Landtag The Gallery of Paintings The Gallery of Senate Presidents Maximilianeum Maximilianeum 81627 München 81627 Munich 54 Stelen 106 Der Raum der Stille Stelae The Room of Silence © Verlag Schnell & Steiner GmbH © Verlag Schnell & Steiner GmbH Leibnizstr. -
Light and Gravitation from Newton to Einstein
Light and gravitation from Newton to Einstein Jean Eisenstaedt - Observatoire de Paris Abstract: How was treated the propagation of light after Newton, before Einstein? From the second half of the 18th century to the early 19th century, the Newtonian theory of propagation of light, a perfectly consistent applica- tion of the Principia to light was developed by John Michell (1724-1793) and then many philosophers. It was as well a classical relativistic optics of moving bodies. In the context of Newton’s Principia, light corpuscles were treated in the very same way as material particles. Thus they were subject to the Galileo- Newtonian kinematics: light velocity was not a constant. Light corpuscles were also subject to the Newtonian dynamics, in particular to two forces, the long-range gravitational force and the short-range refracting force acting on a glass, a crystal. Snell-Descartes’ sinus law implies that greater is the incident velocity of light, lower is the refraction angle on a prism. Thus the measure of the re- fraction angle is a measure of the incident velocity of light, a "method" due to Michell. In 1786 Robert Blair applied Michell’s method to light kinemat- ics and addresses in a very clear way what we call the Doppler effect. The effects of gravity on light in a Newtonian context are qualitatively simi- lar to those predicted by general relativity much later. In 1784 Michell pre- dicted the slowing-down of light by gravitation, and inferred the existence of dark bodies as Pierre Simon Laplace later called them; they are black holes’s cousins. -
Enchanting Bavaria
SMALL GROUP Maximum of LAND 24 Travelers JOURNEY Enchanting Bavaria Inspiring Moments > Bask in Bavaria’s sublime beauty, surrounded by highland peaks, flower-filled meadows and shimmering lakes. > Kick back, unwind and feel rejuvenated INCLUDED FEATURES at your chalet-style resort and spa in tranquil Oberstaufen. Accommodations (with baggage handling) Itinerary > Celebrate Bavarian-style in a traditional – 7 nights in Oberstaufen, Germany, at the Day 1 Depart gateway city alpine hut, complete with tasty dishes, deluxe Lindner Parkhotel & Spa. Day 2 Arrive in Munich and transfer refreshing beer and rousing music. Extensive Meal Program to hotel in Oberstaufen > Enter a storybook landscape while cruising Hindelang | Rettenberg Lake Constance and meandering – 7 breakfasts, 4 lunches and 3 dinners, Day 3 including Welcome and Farewell Dinners; Day 4 Appenzell | St. Gallen through Lindau’s lovely island old town. tea or coffee with all meals, plus wine Day 5 Linderhof Palace | Ettal Abbey > Be enchanted by Bavaria’s sumptuous with dinner. Day 6 Friedrichshafen | architectural gems. Lake Constance | Lindau Your One-of-a-Kind Journey > Observe local craftspeople and farmers Day 7 Upper Allgäu | Walser Valley | in action as you learn about cherished – Discovery excursions highlight the local Breitach Gorge Alps folk arts and customs. culture, heritage and history. Oberstaufen Day 8 > Revel in gorgeous, panoramic vistas – Expert-led Enrichment programs Transfer to Munich airport Day 9 and a delectable lunch with fondue on enhance your insight into the region. and depart for gateway city a Swiss mountaintop. – AHI Sustainability Promise: We strive to make a positive, purposeful Flights and transfers included for AHI FlexAir participants. -
Piedmont & Wachau
LIFESTYLE | CLASSIC CARS | DESTINATIONS FROM PAGE 42 MERCEDES-BENZ Italy, France New: Piedmont & Wachau FROM PAGE 22 FROM PAGE 54 ALFA ROMEO VW BEETLE CONVERTIBLE Italy Bavaria, Austria TRAVEL PROGRAM 2019 NOSTALGIC Content PAGE 14 PAGE 34 PAGE 48 ALFA ROMEO MERCEDES-BENZ Mercedes- VW BEETLE Alfa Romeo Giulietta Spider Benz SL (W 113) VW Beetle 1303 Convertible Alfa Romeo Giulia Spider Mercedes-Benz SL (R 107) Alfa Romeo Duetto Alfa Romeo Spider Veloce ALFA ROMEO TOURS MERCEDES-BENZ TOURS VW BEETLE TOURS PAGE 22 PAGE 4 2 PAGE 54 AMALFI COAST TUSCANY WACHAU Dolce Vita by the sea Cypress trees, vineyards & Castles, monasteries and vi- Renaissance neyards PAGE 24 PAGE 56 TUSCANY PAGE 4 4 KING LUDWIG TOUR Mille Miglia - the race 2019 PROVENCE Bavarian castles and lakes Lavender, flamingos & gothic style PAGE 58 PAGE 26 PAGE 46 BERCHTESGADEN TOUR PIEDMONT LAKE MAGGIORE Rossfeld panoramic road and salt Land of 1000 Hills Mountains, Art Nouveau and palm mine trees PAGE 60 PAGE 28 ZUGSPITZE TOUR Be a guest at EMILIA ROMAGNA Hotel 'Post' in Lermoos 'Terra di Motori' Ferrari, Maserati PAGE 3 PAGE 12 PAGE 30 Editorial NOSTALGIC Team TUSCANY Experience PAGE 62 'Gran Premio Nuvolari' live PAGE 6 NOSTALGIC Tour Calendar Incentive PAGE 32 PAGE 64 SICILY PAGE 8 TOUR BOOKING The mysterios island NOSTALGIC Quality PAGE 68 "Refer-a-friend" coupons PAGE 10 PAGE 70 NOSTALGIC Philosophy Imprint, photo credits NOSTALGIC Editorial CULTIVATED DRIVING WITH PLEASURE Welcome to Nostalgic! We offer you automotive zest for life in classic car incentive events and has the experience to away from the hustle and bustle of everyday life. -
GERMANY-AUSTRIA TOUR – GROUP 3 June 6 to June 12 , 2022 Tour Hosts: Dr
GERMANY-AUSTRIA - ITINERARY GERMANY-AUSTRIA TOUR – GROUP 3 June 6 to June 12 , 2022 Tour hosts: Dr. Dennis and Ginger Lindsay Tour leader: Marianne Allen Contact at: [email protected] or office:214.302.6215 Land package only: COST $1,800 USD The original Passion Play (Once every 10 years) Bavaria, Germany – 5 fairytale castles, The Zugspits Mountains. GERMANY-AUSTRIA TRIP ITINERARY Salzburg, Austria – The Sound of Music Tour DAY ITINERARY TOWN Monday June 6-1 night BAVARIA GERMANY Hilton Airport Group 2 – arrives in Munich, Germany via Tel Aviv Hotel 01 Group 3 – arrives in Munich , Germany via USA All guests arrive and meet at the Hilton Airport Hotel in Munich, Germa- Munich, ny Germany Hilton Munich Airport Hotel, Germany Dinner The Hotel is located between Terminal 1 and Terminal 2. The Hilton provides you with direct access to Munich Airport. Hilton Tuesday, June 7 - 2 night stay Munich Airport boasts fantastic transportation links, offering BAVARIA GERMANY/SALZBURG, AUSTRIA easy access for shopping and dining. Address: Terminalstrasse Mitte 20, 85356, Munich, Germany. Phone: -Breakfast at hotel +49-89-97250MUCTMHI The Radisson Check-out Blu Hotel 8 a.m. - Depart for Herrenchiemsee Palace. Alsadt It is a complex of royal buildings on Herreninsel, the largest island in the Chiemsee Lake, in southern Bavaria, Germany. It was to have been the 02 most opulent of Bavarian King Ludwig II fantasy palaces and equivalent to the Palace of Versailles in France In 1873 King Ludwig II of Bavaria acquired the Herren- 2 p.m. Depart for Salzburg, Austria Old Town insel as the location for his Royal Palace of Herrenchi- Salzburg, emsee. -
Bavaria & the Tyrol
AUSTRIA & GERMANY Bavaria & the Tyrol A Guided Walking Adventure Table of Contents Daily Itinerary ........................................................................... 4 Tour Itinerary Overview .......................................................... 13 Tour Facts at a Glance ........................................................... 15 Traveling To and From Your Tour .......................................... 17 Information & Policies ............................................................ 20 Austria at a Glance ................................................................. 22 Germany at a Glance ............................................................. 26 Packing List ........................................................................... 31 800.464.9255 / countrywalkers.com 2 © 2015 Otago, LLC dba Country Walkers Travel Style This small-group Guided Walking Adventure offers an authentic travel experience, one that takes you away from the crowds and deep in to the fabric of local life. On it, you’ll enjoy 24/7 expert guides, premium accommodations, delicious meals, effortless transportation, and local wine or beer with dinner. Rest assured that every trip detail has been anticipated so you’re free to enjoy an adventure that exceeds your expectations. And, with our optional Flight + Tour ComboCombo,, Munich PrePre----TourTour Extension and Salzbug PostPost----TourTour Extension to complement this destination, we take care of all the travel to simplify the journey. Refer to the attached itinerary for more details. -
42879 Fraun.Indd
ANNUAL REPORT 2013 1 Cover photo: Turbine blade demonstrator component built at Fraunhofer Center for Coatings and Laser Applications. See page 11. The background photo appearing on this page and next: Custom tailored boron- doped diamond electrodes developed by Fraunhofer Center for Coatings and Laser Applications. See page 9. About Fraunhofer Fraunhofer USA is a non-profi t research and development organization that performs applied research under contract to government and industry with customers such as federal and state governments, multinational corpora- tions, as well as small to medium-sized companies. Fraunhofer USA is a subsidiary of Fraunhofer-Gesellschaft, a world leading applied R&D organization with 67 institu- ites and research units. Fraunhofer USA is comprised of seven research centers: • Fraunhofer Center for Coatings and Laser Applications (CCL) at Michigan State University • Fraunhofer Center for Energy Innovation (CEI) at the University of Connecticut • Fraunhofer Center for Experimental Software Engineering (CESE) affi liated with the University of Maryland • Fraunhofer Center for Laser Technology (CLT) affi liated with the University of Michigan • Fraunhofer Center for Molecular Biotechnology (CMB) affi liated with the University of Delaware • Fraunhofer Center for Manufacturing Innovation (CMI) at Boston University • Fraunhofer Center for Sustainable Energy Systems (CSE), affi liated with Massachusetts Institute of Technology These partnerships serve as a bridge between academic research and industrial needs. The Fraunhofer USA Digital Media Technologies offi ce and the Fraunhofer Heinrich Hertz Institute, USA offi ce pro- mote and support the products of their respective parent institutes from Germany, namely the Fraunhofer Institute for Integrated Circuits IIS, and the Fraunhofer Heinrich Hertz Institute HHI.