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Resonance in the Solar System
Resonance In the Solar System Steve Bache UNC Wilmington Dept. of Physics and Physical Oceanography Advisor : Dr. Russ Herman Spring 2012 Goal • numerically investigate the dynamics of the asteroid belt • relate old ideas to new methods • reproduce known results • the sky and heavenly bodies History The role of science: • make sense of the world • perceive order out of apparent randomness History The role of science: • make sense of the world • perceive order out of apparent randomness • the sky and heavenly bodies Anaximander (611-547 BC) • Greek philosopher, scientist • stars, moon, sun 1:2:3 Figure: Anaximander's Model Pythagoras (570-495 BC) • Mathematician, philosopher, started a religion • all heavenly bodies at whole number ratios • "Harmony of the spheres" Figure: Pythagorean Model Tycho Brahe (1546-1601) • Danish astronomer, alchemist • accurate astronomical observations, no telescope • importance of data collection • orbits are ellipses • equal area in equal time • T 2 / a3 Johannes Kepler (1571-1631) • Brahe's assistant • Used detailed data provided by Brahe • Observations led to Laws of Planetary Motion Johannes Kepler (1571-1631) • Brahe's assistant • Used detailed data provided by Brahe • Observations led to Laws of Planetary Motion • orbits are ellipses • equal area in equal time • T 2 / a3 Kepler's Model • Astrologer, Harmonices Mundi • Used empirical data to formulate laws Figure: Kepler's Model Isaac Newton (1642-1727) • religious, yet desired a physical mechanism to explain Kepler's laws • contributions to mathematics and science • Principia • almost entirety of an undergraduate physics degree • Law of Universal Gravitation ~ m1m2 F12 = −G 2 ^r12: jr12j • Commensurability The property of two orbiting objects, such as planets, satellites, or asteroids, whose orbital periods are in a rational proportion. -
The Hoosier Historical Hike
Welcome to the Hoosier Historical Hike. This hike was created by Scouts from the Wapahani District and the Hoosier Trails Council. This experience is a great way to learn about the history of Bloomington, Indiana. You will enjoy a three-phase hike that totals 5.5 miles in some of the most beautiful parts of the state. You can complete these hikes all at once or in different segments. The segments will include the downtown Bloomington area, Rose Hill Cemetery, and the Indiana University Campus. You will find 43 stops along these scenic routes. Please use the attached coordinates to find all the great locations and just for fun, we have added some great questions that you can research along the way! Keep in mind: One person should in charge of the documents and writing down the answers from the other members of the group. You will need the following for this hike: • Comfortable hiking foot ware • Appropriate seasonal clothing • A first aid kit • A copy of these documents • A pad of paper • Two pens or pencils • A cell phone that has a compass and a coordination app. • A trash bag • Water Bottle It is recommended that you wear you Scout Uniform or Class B’s. Remember, you are Scouts and during this hike you are representing the Scouting movement. You will be walking through neighborhoods so please respect private property. Do not liter and if you see liter please place it in your trash bag and properly dispose it. Remember leave no trace, take only photographs and memories. During this pandemic some of the buildings will be closed. -
The Asteroidal Belt and Kirkwood Gaps—I. a Statistical Study
Pramfina, Vol. 8, No. 5, 1977, pp. 438-446i © Printed in India. The asteroidal belt and Kirkwood gaps--I. A statistical study R PRATAP Physical Research Laboratory, Ahmedabad 380009 MS received 2 February 1977 Abstract. In this paper we have made a spectral analysis study of matter distri- bution in the asteroidal belt. We have Fourier analysed this distribution and obtained the autocorrelation and power spectrum, and have identified the ratios from the resonance theory. We have shown that the Kirkwood gaps cannot be satisfactorily interpreted as due to mere resonance between the asteroid and Jupi(er orbital motions. We propose that they may be regarded as a consequence of density waves generated in the g~s disc in the ecliptic plane in the ncighbourhood of the Sun. We have also shown that the process is non-Marcovian and hence cannot be subjected to a hydrodynamical analysis. Keywords. D~nsity waves; Non-Marcovian; Kirkwood gaps. 1. Introduction It was observed by Daniel Kirkwood (1867) that the astetoidal belt had a ring struc- ture, and since then, resonance theory was invoked to explain the rings of minimal matter-gaps. The total mass distribution in these rings has been estimated to be about 0.1 M@. Recently Ovenden (1972) tried to estimate as to what would have b~n the mass in this region at the origin of the solar system. He invoked a "principle of least interaction action" and using this, he calaulated the semi- major axes of the various planets, trying to examine the physical contem of Titius-Bode's law. -
214 Publications Of
214 Publications of the » On the other hand, how interesting it would be to possess a number of such drawings of the same object for all phases of illumination through a whole lunation, or for the same phase in the different degrees of libration ! The principle should always be, to sketch only when the atmo- sphere is transparent and steady, and then to reproduce everything that is seen within the specified limits with absolute truthfulness. Particular attention will, therefore, have to be paid to the moon in high declinations, and in case the observations are made on the meridian,—which, of course, is the most favorable point,—we must consider the convenience of the draughtsman; and we must either construct the pier of the instrument sufficiently high, or lower the seat of the observer below the floor. Unfortunately, such arrange- ments cannot be made at Prague. Prague, April, 1890. References to Professor Weinek's Drawings of the Moon. (see frontispiece.) No. i. Mare Crisium. 5. Columbus, Magellan. 2. Sinus Iridium. 6. Tycho Brahe. 3. Theopilus, Cyrillus. 7. Fracastor. 4. Gassendi. 8. Archimides. ON THE AGE OF PERIODIC COMETS. By Daniel Kirkwood, LL. D. Are periodic comets permanent members of the solar system? Is their relation to the sun co-terminous with that of the planets, or has their origin been more recent, and are they, at least in many in- stances, liable to dissolution? A consideration of certain facts in connection with these questions will not be without interest. In the brilliant discussions of Lagrange and Laplace, demon- strating the stability of the solar system, it was assumed (1), that the planets move in a perfect vacuum; and (2), that they are not subjected to disturbance from without. -
David J. Carr
David J. Carr CONTACT INFORMATION Indiana University Phone: 812-855-6911 Astronomy Department, Swain West 324 Email: [email protected] 727 E. 3rd Street Website: https://carrdj.github.io/ Bloomington, IN 47405 GitHub: https://github.com/carrdj RESEARCH INTERESTS Active galactic nuclei demographics and star formation across cosmic time; numerical and computational methods in scientific computing; data mining and machine learning algorithms as applied to scientific research EDUCATION Indiana University 2016 – Present Doctor of Philosophy in Astronomy, (Expected Graduation May 2021) Minor: Scientific Computing Thesis: Discovering Active Galaxies Across Cosmic Time with the SFACT Survey (Advisor: Dr. John Salzer) Master of Arts in Astronomy Spring 2019 University of Wisconsin-Madison 2012 – 2016 Bachelor of Science in Astronomy-Physics and Physics, 2016 Minor: Mathematics Graduated with Distinctive Scholastic Achievement and Honors in Liberal Arts RESEARCH EXPERIENCE Graduate Thesis Research, Indiana University September 2016 – Present Advisor: Dr. John Salzer Leader in the Star Formation Across Cosmic Time (SFACT) survey using the WIYN 3.5-meter telescope at Kitt Peak National Observatory to find star-forming galaxies and active galactic nuclei across cosmic time. Constructed CLOUDY models of active galactic nuclei spectra to determine if abundances in the nuclei of galaxies change across cosmic time. Research Assistant, University of Wisconsin-Madison June 2014 – May 2016 Advisor: Dr. Sebastian Heinz Converted program written in IDL to Python to model what different objects look like through different telescopes and simulate data gathered from observing these objects. Planned to use this code to conclude which objects are worth observing and determine which telescope is best used to observe them. -
The Philosophy of Mathematics: a Study of Indispensability and Inconsistency
Claremont Colleges Scholarship @ Claremont Scripps Senior Theses Scripps Student Scholarship 2016 The hiP losophy of Mathematics: A Study of Indispensability and Inconsistency Hannah C. Thornhill Scripps College Recommended Citation Thornhill, Hannah C., "The hiP losophy of Mathematics: A Study of Indispensability and Inconsistency" (2016). Scripps Senior Theses. Paper 894. http://scholarship.claremont.edu/scripps_theses/894 This Open Access Senior Thesis is brought to you for free and open access by the Scripps Student Scholarship at Scholarship @ Claremont. It has been accepted for inclusion in Scripps Senior Theses by an authorized administrator of Scholarship @ Claremont. For more information, please contact [email protected]. The Philosophy of Mathematics: A Study of Indispensability and Inconsistency Hannah C.Thornhill March 10, 2016 Submitted to Scripps College in Partial Fulfillment of the Degree of Bachelor of Arts in Mathematics and Philosophy Professor Avnur Professor Karaali Abstract This thesis examines possible philosophies to account for the prac- tice of mathematics, exploring the metaphysical, ontological, and epis- temological outcomes of each possible theory. Through a study of the two most probable ideas, mathematical platonism and fictionalism, I focus on the compelling argument for platonism given by an ap- peal to the sciences. The Indispensability Argument establishes the power of explanation seen in the relationship between mathematics and empirical science. Cases of this explanatory power illustrate how we might have reason to believe in the existence of mathematical en- tities present within our best scientific theories. The second half of this discussion surveys Newtonian Cosmology and other inconsistent theories as they pose issues that have received insignificant attention within the philosophy of mathematics. -
Indiana University
TABLE OF CONTENTS 2005-06WRESTLING INTRODUCTION SEASON IN REVIEW Quick Facts and Media Information . .3 Season in Review . .46 Schedule and University Gym Information . .4 Match-by-Match . .48 Roster and Pronunciation Guide . .5 Big Ten & NCAA Championships . .51 Wrestling Preview . .6 Season Honors & Statistics . .52 Rules of Wrestling . .8 Big Ten Conference . .9 HISTORY AND RECORDS Photo Roster . .10 All-Americans . .54 NCAA Champions & All-Americans . .59 MEET THE WRESTLERS Big Ten Championships . .60 Brandon Becker . .12 Academic Honors . .61 Max Dean . .13 Season & Career Records . .62 Joe Dubuque . .14 Coaching History . .63 Isaac Knable . .15 Year-by-Year . .65 Brady Richardson . .16 All-Time Results . .67 Returning Letterwinners/Redshirts . .17 Letterwinners . .75 Newcomers . .22 Hometowns . .78 2005-06 Team . .25 IU Wrestling Tradition . .26 THIS IS INDIANA Indiana University . .88 STAFF Academic Recognition . .91 Head Coach Duane Goldman . .28 Academic Choices . .92 Assistant Coach Mike Mena . .30 Athletic Academic Services . .94 Assistant Coach Reggie Wright . .31 Student Life . .96 Volunteer Coach Coyte Cooper . .31 Student Development & Diversity . .97 Strength and Conditioning Coach Josh Eidson . .32 Campus Map . .98 Trainer Kip Smith . .32 Alumni . .99 Bloomington . .100 OPPONENTS Indianapolis . .101 Opponents . .34 Winning Tradition . .102 Series Results . .36 Wrestling Facilities . .104 IU Wrestling Tradition . .105 Athletic Facilities . .106 G Stronger & Faster . .108 N I 2005-06 INDIANA WRESTLING MEDIA GUIDE L T The 2004-05 Indiana Wrestling Media Guide is a Cover Design Beth Feickert Photography Paul Riley S production of the Indiana Media Relations Writing Kevin Martinez Presswork Metropolitan Printing, Editing IU Media Relations Staff Bloomington, Ind. E Office. -
Proceedings of the Indiana Academy of Science
Daniel Kirkwood Frank K. Edmondson Department of Astronomy, Indiana University Bloomington, Indiana 47405 Kirkwood Avenue, Kirkwood Hall and Kirkwood Observatory are visible memorials to Daniel Kirkwood. He must have been an important person to merit such recogni- tion, but very few people today know why he was important. This symposium gives me an opportunity to do something to revive public appreciation for this man. This talk will have four major parts: 1) Indiana University prior to Kirk wood's arrival, 2) Chronology of Kirkwood's life, 3) Daniel Kirkwood at Indiana University and his work as a scientist, and 4) Daniel Kirkwood and the Indiana Academy of Science. I.U. had three faculty members after Andrew Wylie became President in 1829, and one of them offered instruction in Astronomy. Daniel Kirkwood was 15 years old at this time. The faculty had grown to about half a dozen by the time Kirkwood arrived and numbered about a dozen when he retired. Astronomy was listed in the course of instruction as a Senior Year Course in both the Regular and Scientific Courses in 1856. In 1880 it was listed in all three curricula: Ancient Classics, Modern Classics, and Science. Daniel Kirkwood was six years old when the Indiana State Seminary was found- ed in 1820. He was 42 years old when he joined the I.U. faculty in 1856. Table I gives selected dates and events in his life. His first U.S. demonstration of the Foucault Pendulum in 1851 only a few months after it was demonstrated in Paris is an example of his pioneering spirit, inquiring mind, and knowledge of contemporary science in Europe. -
The Kirkwood Society a Newsletter for Alumni and Friends of the Astronomy Department at Indiana University Summer/Fall 2003
The Kirkwood Society A Newsletter for Alumni and Friends of the Astronomy Department at Indiana University Summer/Fall 2003 Greetings from the Chairman! Special thanks, as always, to all the friends and alumni of the It is hard to believe another year has gone by, and it has Department who have supported us generously over the last been a full one. The Department is more vigorous than year. Much of what we do depends on you. Please visit the ever. All faculty members have grants for teaching and/or Department’s web page (see p. 8) for more information about research projects and are actively pursuing investigations our activities and please feel free to contact me by email at on everything from neutrino oscillations and planet [email protected]. formation, on the smaller scales, to surveys of dwarf galaxies and the nature of dark energy on the larger Discovery in the Classroom scales. Of course, if you know this Department, and you presumably do if you receive this Newsletter, you know Research Experience for Introductory that we also do lots and lots of research on the stellar and Astronomy Students galactic scales in between. At the same time, many faculty and graduate students are involved in a wide range of innovative teaching and outreach initiatives, which include development of sixth grade units on the origins of planetary systems and incorporation of real hands-on research experiences into our courses for both majors and nonmajors. Due to our recent increase in faculty size, we are now able to provide more varied undergraduate offerings, including some courses with smaller class sizes on a range of special topics, like astrobiology and cosmology. -
Alumni • Magazine ~~~~~~~~~
THE • MARCH • 1940 ALUMNI • MAGAZINE ~~~~~~~~~ ~ " ~" - ~~':sier ~l~~~:e ~ > . PI ! I ~ March By William C. FitzGibbon, '40 31 Day. i ~ ~ ~.' : 8 Ed Kemp and his fa III 0 u::; 1940 March 1940 who was forced to cancel his ; .~~r!~~<1 band return to the campus to pay1 engagement. ~ ', ~b for all Gther Junior Prom . .. S M T W T F S 'Jp ~j Kemp's Inusicians made a last· '" '" * * * 1 2 19 Campus beauties will be the ~ Ing impression hack in '3·1. Rt the 3 4 5 6 7 center of interest today as The ~ top social event on the campus. 8 9 ArbUlllS, University yearbook, se ~ 10 11 12 13 14 15 16 lects its beauties to be featured ~~~., j,.~ 9 Today the Big Ten champion- 17 18 19 20 21 22 23 in the 1940 issue of the book ~~ ships HI track, wrestling and 24 25 26 27 28 29 30 ... This year the contest will b~ sWlInlllmg "ill be deci ded III 31 ~: ::: '" * * * held in Alull1ni Hall instead of "~ ~ tourneys at Chicago, P urdue and in a downtown theatre. ~! Michigan, rcspeclively. The pre ~ liminary trials we re held yesterday. 21 One year ago 31 members of the Men's Glee Club started out on a tOllr of ten Indiana cities. ~.,~· 10 Today and every Sunday morning the Uni versity has two regular radio programs: "Editorial 22 Today, Good Friday, the Uni versity Sym i~ of the Air," over WIRE of Indianapolis, 9:00-9:30, phony, under the direction of Dean Robert Sanders , and "Everyman's Campus of the Air," over WHAS of the School of Music, will present all Easter pro I of Louisville, 11 :30-12 :00. -
A Topical Index to the Main Articles in Mercury Magazine (1972 – 2019) Compiled by Andrew Fraknoi (U
A Topical Index to the Main Articles in Mercury Magazine (1972 – 2019) Compiled by Andrew Fraknoi (U. of San Francisco) [Mar. 9, 2020] Note: This index, organized by subject matter, only covers the longer articles in the Astronomical Society of the Pacific’s popular-level magazine; it omits news notes, regular columns, Society doings, etc. Within each subject category, articles are listed in chronological order starting with the most recent one. Table of Contents Impacts Amateur Astronomy Infra-red Astronomy Archaeoastronomy Interdisciplinary Topics Asteroids Interstellar Matter Astrobiology Jupiter Astronomers Lab Activities Astronomy: General Light in Astronomy Binary Stars Light Pollution Black Holes Mars Comets Mercury Cosmic Rays Meteors and Meteorites Cosmology Moon Distances in Astronomy Nebulae Earth Neptune Eclipses Neutrinos Education in Astronomy Particle Physics & Astronomy Exoplanets Photography in Astronomy Galaxies Pluto Galaxy (The Milky Way) Pseudo-science (Debunking) Gamma-ray Astronomy Public Outreach Gravitational Lenses Pulsars and Neutron Stars Gravitational Waves Quasars and Active Galaxies History of Astronomy Radio Astronomy Humor in Astronomy Relativity and Astronomy 1 Saturn Sun SETI Supernovae & Remnants Sky Phenomena Telescopes & Observatories Societal Issues in Astronomy Ultra-violet Astronomy Solar System (General) Uranus Space Exploration Variable Stars Star Clusters Venus Stars & Stellar Evolution X-ray Astronomy _______________________________________________________________________ Amateur Astronomy Hostetter, D. Sidewalk Astronomy: Bridge to the Universe, 2013 Winter, p. 18. Fienberg, R. & Arion, D. Three Years after the International Year of Astronomy: An Update on the Galileoscope Project, 2012 Autumn, p. 22. Simmons, M. Sharing Astronomy with the World [on Astronomers without Borders], 2008 Spring, p. 14. Williams, L. Inspiration, Frame by Frame: Astro-photographer Robert Gendler, 2004 Nov/Dec, p. -
Proceedings of the Indiana Academy of Science
NECROLOGY Will E. Edington, DePauw University Wilbur Adelman Cogshall Mendon, Michigan Rockford, Illinois February 8, 1874 October 5, 1951 The real history of astronomy in the United States goes back only a little over a century to the founding of the Yale Observatory in 1830. This was followed by the founding of the Harvard Observa- tory in 1839, the U. S. Naval Observatory in 1840, and the University of Cincinnati Observatory in 1843. During the first half of the last century astronomy was taught in many colleges and universities as a part of a junior or senior course in navigation or natural philosophy. The nineteenth century produced not over a dozen Americans who, during that century, made significant contributions to astronomical knowledge, and one of these was Daniel Kirkwood, (1814-1894), who came to Indiana University in 1856 and remained there thirty years. He was sometimes referred to as "The Kepler of America." Kirkwood Observatory at Indiana University was named in his honor. The first Director of Kirkwood Observatory was John A. Miller, (1859- 1946), an Indiana University alumnus, who was Professor of Mathe- matics and Astronomy at Indiana University from 1894 to 1906. During Dr. Miller's directorship graduate study in astronomy was developed and the first A.M. degree in astronomy granted in 1899. It was three years later before the next two advanced degrees were granted and the recipient of one of these was Wilbur Adelman Cogshall, who had come to Indiana University in 1900 as an instructor in mechanics and astronomy. Wilbur Adelman Cogshall was born in Mendon, Michigan, on February 8, 1874.