The Solar System Questions KEY.Pdf
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Galileo and the Telescope
Galileo and the Telescope A Discussion of Galileo Galilei and the Beginning of Modern Observational Astronomy ___________________________ Billy Teets, Ph.D. Acting Director and Outreach Astronomer, Vanderbilt University Dyer Observatory Tuesday, October 20, 2020 Image Credit: Giuseppe Bertini General Outline • Telescopes/Galileo’s Telescopes • Observations of the Moon • Observations of Jupiter • Observations of Other Planets • The Milky Way • Sunspots Brief History of the Telescope – Hans Lippershey • Dutch Spectacle Maker • Invention credited to Hans Lippershey (c. 1608 - refracting telescope) • Late 1608 – Dutch gov’t: “ a device by means of which all things at a very great distance can be seen as if they were nearby” • Is said he observed two children playing with lenses • Patent not awarded Image Source: Wikipedia Galileo and the Telescope • Created his own – 3x magnification. • Similar to what was peddled in Europe. • Learned magnification depended on the ratio of lens focal lengths. • Had to learn to grind his own lenses. Image Source: Britannica.com Image Source: Wikipedia Refracting Telescopes Bend Light Refracting Telescopes Chromatic Aberration Chromatic aberration limits ability to distinguish details Dealing with Chromatic Aberration - Stop Down Aperture Galileo used cardboard rings to limit aperture – Results were dimmer views but less chromatic aberration Galileo and the Telescope • Created his own (3x, 8-9x, 20x, etc.) • Noted by many for its military advantages August 1609 Galileo and the Telescope • First observed the -
Astrodynamics
Politecnico di Torino SEEDS SpacE Exploration and Development Systems Astrodynamics II Edition 2006 - 07 - Ver. 2.0.1 Author: Guido Colasurdo Dipartimento di Energetica Teacher: Giulio Avanzini Dipartimento di Ingegneria Aeronautica e Spaziale e-mail: [email protected] Contents 1 Two–Body Orbital Mechanics 1 1.1 BirthofAstrodynamics: Kepler’sLaws. ......... 1 1.2 Newton’sLawsofMotion ............................ ... 2 1.3 Newton’s Law of Universal Gravitation . ......... 3 1.4 The n–BodyProblem ................................. 4 1.5 Equation of Motion in the Two-Body Problem . ....... 5 1.6 PotentialEnergy ................................. ... 6 1.7 ConstantsoftheMotion . .. .. .. .. .. .. .. .. .... 7 1.8 TrajectoryEquation .............................. .... 8 1.9 ConicSections ................................... 8 1.10 Relating Energy and Semi-major Axis . ........ 9 2 Two-Dimensional Analysis of Motion 11 2.1 ReferenceFrames................................. 11 2.2 Velocity and acceleration components . ......... 12 2.3 First-Order Scalar Equations of Motion . ......... 12 2.4 PerifocalReferenceFrame . ...... 13 2.5 FlightPathAngle ................................. 14 2.6 EllipticalOrbits................................ ..... 15 2.6.1 Geometry of an Elliptical Orbit . ..... 15 2.6.2 Period of an Elliptical Orbit . ..... 16 2.7 Time–of–Flight on the Elliptical Orbit . .......... 16 2.8 Extensiontohyperbolaandparabola. ........ 18 2.9 Circular and Escape Velocity, Hyperbolic Excess Speed . .............. 18 2.10 CosmicVelocities -
Uncommon Sense in Orbit Mechanics
AAS 93-290 Uncommon Sense in Orbit Mechanics by Chauncey Uphoff Consultant - Ball Space Systems Division Boulder, Colorado Abstract: This paper is a presentation of several interesting, and sometimes valuable non- sequiturs derived from many aspects of orbital dynamics. The unifying feature of these vignettes is that they all demonstrate phenomena that are the opposite of what our "common sense" tells us. Each phenomenon is related to some application or problem solution close to or directly within the author's experience. In some of these applications, the common part of our sense comes from the fact that we grew up on t h e surface of a planet, deep in its gravity well. In other examples, our mathematical intuition is wrong because our mathematical model is incomplete or because we are accustomed to certain kinds of solutions like the ones we were taught in school. The theme of the paper is that many apparently unsolvable problems might be resolved by the process of guessing the answer and trying to work backwards to the problem. The ability to guess the right answer in the first place is a part of modern magic. A new method of ballistic transfer from Earth to inner solar system targets is presented as an example of the combination of two concepts that seem to work in reverse. Introduction Perhaps the simplest example of uncommon sense in orbit mechanics is the increase of speed of a satellite as it "decays" under the influence of drag caused by collisions with the molecules of the upper atmosphere. In everyday life, when we slow something down, we expect it to slow down, not to speed up. -
Orbital Mechanics
Orbital Mechanics These notes provide an alternative and elegant derivation of Kepler's three laws for the motion of two bodies resulting from their gravitational force on each other. Orbit Equation and Kepler I Consider the equation of motion of one of the particles (say, the one with mass m) with respect to the other (with mass M), i.e. the relative motion of m with respect to M: r r = −µ ; (1) r3 with µ given by µ = G(M + m): (2) Let h be the specific angular momentum (i.e. the angular momentum per unit mass) of m, h = r × r:_ (3) The × sign indicates the cross product. Taking the derivative of h with respect to time, t, we can write d (r × r_) = r_ × r_ + r × ¨r dt = 0 + 0 = 0 (4) The first term of the right hand side is zero for obvious reasons; the second term is zero because of Eqn. 1: the vectors r and ¨r are antiparallel. We conclude that h is a constant vector, and its magnitude, h, is constant as well. The vector h is perpendicular to both r and the velocity r_, hence to the plane defined by these two vectors. This plane is the orbital plane. Let us now carry out the cross product of ¨r, given by Eqn. 1, and h, and make use of the vector algebra identity A × (B × C) = (A · C)B − (A · B)C (5) to write µ ¨r × h = − (r · r_)r − r2r_ : (6) r3 { 2 { The r · r_ in this equation can be replaced by rr_ since r · r = r2; and after taking the time derivative of both sides, d d (r · r) = (r2); dt dt 2r · r_ = 2rr;_ r · r_ = rr:_ (7) Substituting Eqn. -
Hunting Hours Time Zone A
WHEN AND WHERE TO HUNT WHEN AND WHERE Hunting Hours Time Zone A. Hunting Hours for Bear, Deer, Fall Wild Turkey, Furbearers, Shown is a map of the hunting-hour time zones. Actual legal hunting hours for and Small Game bear, deer, fall wild turkey, furbearer, and small game for Time Zone A are shown One-half hour before sunrise to one-half hour after sunset (adjusted for in the table at right. Hunting hours for migratory game birds are different and are daylight saving time). For hunt dates not listed in the table, please consult your published in the current-year Waterfowl Digest. local newspaper. 2016 Sept. Oct. Nov. Dec. To determine the opening (a.m.) and closing (p.m.) time for any day in another Note: time zone, add the minutes shown below to the times listed in the Time Zone A • Woodcock and teal Date AM PM AM PM AM PM AM PM Hunting Hours Table. hunting hours are 1 6:28 8:35 7:00 7:43 7:36 6:55 7:12 5:31 The hunting hours listed in the table reflect Eastern Standard Time, with an sunrise to sunset. 2 6:29 8:34 7:01 7:41 7:38 6:54 7:14 5:30 adjustment for daylight saving time. If you are hunting in Gogebic, Iron, Dickinson, • Spring turkey hunting 3 6:30 8:32 7:02 7:39 7:39 6:52 7:15 5:30 or Menominee counties (Central Standard Time), you must make an additional hours are one-half 4 6:31 8:30 7:03 7:38 7:40 6:51 7:16 5:30 adjustment to the printed time by subtracting one hour. -
Daylight Saving Time (DST)
Daylight Saving Time (DST) Updated September 30, 2020 Congressional Research Service https://crsreports.congress.gov R45208 Daylight Saving Time (DST) Summary Daylight Saving Time (DST) is a period of the year between spring and fall when clocks in most parts of the United States are set one hour ahead of standard time. DST begins on the second Sunday in March and ends on the first Sunday in November. The beginning and ending dates are set in statute. Congressional interest in the potential benefits and costs of DST has resulted in changes to DST observance since it was first adopted in the United States in 1918. The United States established standard time zones and DST through the Calder Act, also known as the Standard Time Act of 1918. The issue of consistency in time observance was further clarified by the Uniform Time Act of 1966. These laws as amended allow a state to exempt itself—or parts of the state that lie within a different time zone—from DST observance. These laws as amended also authorize the Department of Transportation (DOT) to regulate standard time zone boundaries and DST. The time period for DST was changed most recently in the Energy Policy Act of 2005 (EPACT 2005; P.L. 109-58). Congress has required several agencies to study the effects of changes in DST observance. In 1974, DOT reported that the potential benefits to energy conservation, traffic safety, and reductions in violent crime were minimal. In 2008, the Department of Energy assessed the effects to national energy consumption of extending DST as changed in EPACT 2005 and found a reduction in total primary energy consumption of 0.02%. -
Geodesy Methods Over Time
Geodesy methods over time GISC3325 - Lecture 4 Astronomic Latitude/Longitude • Given knowledge of the positions of an astronomic body e.g. Sun or Polaris and our time we can determine our location in terms of astronomic latitude and longitude. US Meridian Triangulation This map shows the first project undertaken by the founding Superintendent of the Survey of the Coast Ferdinand Hassler. Triangulation • Method of indirect measurement. • Angles measured at all nodes. • Scaled provided by one or more precisely measured base lines. • First attributed to Gemma Frisius in the 16th century in the Netherlands. Early surveying instruments Left is a Quadrant for angle measurements, below is how baseline lengths were measured. A non-spherical Earth • Willebrod Snell van Royen (Snellius) did the first triangulation project for the purpose of determining the radius of the earth from measurement of a meridian arc. • Snellius was also credited with the law of refraction and incidence in optics. • He also devised the solution of the resection problem. At point P observations are made to known points A, B and C. We solve for P. Jean Picard’s Meridian Arc • Measured meridian arc through Paris between Malvoisine and Amiens using triangulation network. • First to use a telescope with cross hairs as part of the quadrant. • Value obtained used by Newton to verify his law of gravitation. Ellipsoid Earth Model • On an expedition J.D. Cassini discovered that a one-second pendulum regulated at Paris needed to be shortened to regain a one-second oscillation. • Pendulum measurements are effected by gravity! Newton • Newton used measurements of Picard and Halley and the laws of gravitation to postulate a rotational ellipsoid as the equilibrium figure for a homogeneous, fluid, rotating Earth. -
Impact of Extended Daylight Saving Time on National Energy Consumption
Impact of Extended Daylight Saving Time on National Energy Consumption TECHNICAL DOCUMENTATION FOR REPORT TO CONGRESS Energy Policy Act of 2005, Section 110 Prepared for U.S. Department of Energy Office of Energy Efficiency and Renewable Energy By David B. Belzer (Pacific Northwest National Laboratory), Stanton W. Hadley (Oak Ridge National Laboratory), and Shih-Miao Chin (Oak Ridge National Laboratory) October 2008 U.S. Department of Energy Energy Efficiency and Renewable Energy Page Intentionally Left Blank Acknowledgements The Department of Energy (DOE) acknowledges the important contributions made to this study by the principal investigators and primary authors—David B. Belzer, Ph.D (Pacific Northwest National Laboratory), Stanton W. Hadley (Oak Ridge National Laboratory), and Shih-Miao Chin, Ph.D (Oak Ridge National Laboratory). Jeff Dowd (DOE Office of Energy Efficiency and Renewable Energy) was the DOE project manager, and Margaret Mann (National Renewable Energy Laboratory) provided technical and project management assistance. Two expert panels provided review comments on the study methodologies and made important and generous contributions. 1. Electricity and Daylight Saving Time Panel – technical review of electricity econometric modeling: • Randy Barcus (Avista Corp) • Adrienne Kandel, Ph.D (California Energy Commission) • Hendrik Wolff, Ph.D (University of Washington) 2. Transportation Sector Panel – technical review of analytical methods: • Harshad Desai (Federal Highway Administration) • Paul Leiby, Ph.D (Oak Ridge National Laboratory) • John Maples (DOE Energy Information Administration) • Art Rypinski (Department of Transportation) • Tom White (DOE Office of Policy and International Affairs) The project team also thanks Darrell Beschen (DOE Office of Energy Efficiency and Renewable Energy), Doug Arent, Ph.D (National Renewable Energy Laboratory), and Bill Babiuch, Ph.D (National Renewable Energy Laboratory) for their helpful management review. -
Serene Timer B Programming
Timer Mode B - 24 Hour ON/OFF Time with Full Light Cycle Timer B Mode allows you to program the Serene LED aquarium light with daily Sunrise, Daylight, Sunset and Moonlight, In addition, the background light and audio can also be programmed to run daily along with Daylight. Serene’s Timer B program consists of four photoperiods: Sunrise - 15min ramp into a 1 hour color spectrum, followed by 15min ramp to Daylight Daylight - color spectrum runs until OFF time is reached. (Background light & audio optional.) Sunset - 15min dim into a 1 hour color spectrum, followed by 15min dim to Moonlight Moonlight - runs a color spectrum for 6 hrs., then turns off The below diagram shows the default Timer B program installed with Serene: ON TIME: 07:00 OFF TIME: 17:00 (Light begins to turn on at 7:00am) (Light begins to turn o at 5:00 pm) PREPROGRAMMED DEFAULT: Sunrise/Sunset Color: R-75%, G-5%, B-75%, W-50% Daylight Color: R-100%, G-100%, B-100%, W-100% Background Light: Blue-Orange Fade Audio: Stream, 50% Volume Moonlight Color: R-5%, G-0%, B-10%, W-0% “M”: 100% Red Programming Instructions: There are 4 basic steps to programming Serene in Timer B Mode: STEP 1: Programming Clock & ON/OFF TImes STEP 2: Setting & Adjusting Sunrise/Sunset, Daylight, Moonlight Color Spectrums STEP 3: Programming Background Light & Audio Programs STEP 4: Confirming Timer B Mode Setting 1 Programming Instructions: STEP 1: Programming Clock, Daily ON & OFF Time a. Setting Clock (Time is in 24:00 Hrs) 1. Press: SET CLOCK - Controller Displays: “S-CL” 2. -
The Solar System Cause Impact Craters
ASTRONOMY 161 Introduction to Solar System Astronomy Class 12 Solar System Survey Monday, February 5 Key Concepts (1) The terrestrial planets are made primarily of rock and metal. (2) The Jovian planets are made primarily of hydrogen and helium. (3) Moons (a.k.a. satellites) orbit the planets; some moons are large. (4) Asteroids, meteoroids, comets, and Kuiper Belt objects orbit the Sun. (5) Collision between objects in the Solar System cause impact craters. Family portrait of the Solar System: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, (Eris, Ceres, Pluto): My Very Excellent Mother Just Served Us Nine (Extra Cheese Pizzas). The Solar System: List of Ingredients Ingredient Percent of total mass Sun 99.8% Jupiter 0.1% other planets 0.05% everything else 0.05% The Sun dominates the Solar System Jupiter dominates the planets Object Mass Object Mass 1) Sun 330,000 2) Jupiter 320 10) Ganymede 0.025 3) Saturn 95 11) Titan 0.023 4) Neptune 17 12) Callisto 0.018 5) Uranus 15 13) Io 0.015 6) Earth 1.0 14) Moon 0.012 7) Venus 0.82 15) Europa 0.008 8) Mars 0.11 16) Triton 0.004 9) Mercury 0.055 17) Pluto 0.002 A few words about the Sun. The Sun is a large sphere of gas (mostly H, He – hydrogen and helium). The Sun shines because it is hot (T = 5,800 K). The Sun remains hot because it is powered by fusion of hydrogen to helium (H-bomb). (1) The terrestrial planets are made primarily of rock and metal. -
Geodetic Position Computations
GEODETIC POSITION COMPUTATIONS E. J. KRAKIWSKY D. B. THOMSON February 1974 TECHNICALLECTURE NOTES REPORT NO.NO. 21739 PREFACE In order to make our extensive series of lecture notes more readily available, we have scanned the old master copies and produced electronic versions in Portable Document Format. The quality of the images varies depending on the quality of the originals. The images have not been converted to searchable text. GEODETIC POSITION COMPUTATIONS E.J. Krakiwsky D.B. Thomson Department of Geodesy and Geomatics Engineering University of New Brunswick P.O. Box 4400 Fredericton. N .B. Canada E3B5A3 February 197 4 Latest Reprinting December 1995 PREFACE The purpose of these notes is to give the theory and use of some methods of computing the geodetic positions of points on a reference ellipsoid and on the terrain. Justification for the first three sections o{ these lecture notes, which are concerned with the classical problem of "cCDputation of geodetic positions on the surface of an ellipsoid" is not easy to come by. It can onl.y be stated that the attempt has been to produce a self contained package , cont8.i.ning the complete development of same representative methods that exist in the literature. The last section is an introduction to three dimensional computation methods , and is offered as an alternative to the classical approach. Several problems, and their respective solutions, are presented. The approach t~en herein is to perform complete derivations, thus stqing awrq f'rcm the practice of giving a list of for11111lae to use in the solution of' a problem. -
Models for Earth and Maps
Earth Models and Maps James R. Clynch, Naval Postgraduate School, 2002 I. Earth Models Maps are just a model of the world, or a small part of it. This is true if the model is a globe of the entire world, a paper chart of a harbor or a digital database of streets in San Francisco. A model of the earth is needed to convert measurements made on the curved earth to maps or databases. Each model has advantages and disadvantages. Each is usually in error at some level of accuracy. Some of these error are due to the nature of the model, not the measurements used to make the model. Three are three common models of the earth, the spherical (or globe) model, the ellipsoidal model, and the real earth model. The spherical model is the form encountered in elementary discussions. It is quite good for some approximations. The world is approximately a sphere. The sphere is the shape that minimizes the potential energy of the gravitational attraction of all the little mass elements for each other. The direction of gravity is toward the center of the earth. This is how we define down. It is the direction that a string takes when a weight is at one end - that is a plumb bob. A spirit level will define the horizontal which is perpendicular to up-down. The ellipsoidal model is a better representation of the earth because the earth rotates. This generates other forces on the mass elements and distorts the shape. The minimum energy form is now an ellipse rotated about the polar axis.