Observing and Understanding the Transit of Mercury Nov 2019
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Modelling and the Transit of Venus
Modelling and the transit of Venus Dave Quinn University of Queensland <[email protected]> Ron Berry University of Queensland <[email protected]> Introduction enior secondary mathematics students could justifiably question the rele- Svance of subject matter they are being required to understand. One response to this is to place the learning experience within a context that clearly demonstrates a non-trivial application of the material, and which thereby provides a definite purpose for the mathematical tools under consid- eration. This neatly complements a requirement of mathematics syllabi (for example, Queensland Board of Senior Secondary School Studies, 2001), which are placing increasing emphasis on the ability of students to apply mathematical thinking to the task of modelling real situations. Success in this endeavour requires that a process for developing a mathematical model be taught explicitly (Galbraith & Clatworthy, 1991), and that sufficient opportu- nities are provided to students to engage them in that process so that when they are confronted by an apparently complex situation they have the think- ing and operational skills, as well as the disposition, to enable them to proceed. The modelling process can be seen as an iterative sequence of stages (not ) necessarily distinctly delineated) that convert a physical situation into a math- 1 ( ematical formulation that allows relationships to be defined, variables to be 0 2 l manipulated, and results to be obtained, which can then be interpreted and a n r verified as to their accuracy (Galbraith & Clatworthy, 1991; Mason & Davis, u o J 1991). The process is iterative because often, at this point, limitations, inac- s c i t curacies and/or invalid assumptions are identified which necessitate a m refinement of the model, or perhaps even a reassessment of the question for e h t which we are seeking an answer. -
Planet Positions: 1 Planet Positions
Planet Positions: 1 Planet Positions As the planets orbit the Sun, they move around the celestial sphere, staying close to the plane of the ecliptic. As seen from the Earth, the angle between the Sun and a planet -- called the elongation -- constantly changes. We can identify a few special configurations of the planets -- those positions where the elongation is particularly noteworthy. The inferior planets -- those which orbit closer INFERIOR PLANETS to the Sun than Earth does -- have configurations as shown: SC At both superior conjunction (SC) and inferior conjunction (IC), the planet is in line with the Earth and Sun and has an elongation of 0°. At greatest elongation, the planet reaches its IC maximum separation from the Sun, a value GEE GWE dependent on the size of the planet's orbit. At greatest eastern elongation (GEE), the planet lies east of the Sun and trails it across the sky, while at greatest western elongation (GWE), the planet lies west of the Sun, leading it across the sky. Best viewing for inferior planets is generally at greatest elongation, when the planet is as far from SUPERIOR PLANETS the Sun as it can get and thus in the darkest sky possible. C The superior planets -- those orbiting outside of Earth's orbit -- have configurations as shown: A planet at conjunction (C) is lined up with the Sun and has an elongation of 0°, while a planet at opposition (O) lies in the opposite direction from the Sun, at an elongation of 180°. EQ WQ Planets at quadrature have elongations of 90°. -
The Midnight Sky: Familiar Notes on the Stars and Planets, Edward Durkin, July 15, 1869 a Good Way to Start – Find North
The expression "dog days" refers to the period from July 3 through Aug. 11 when our brightest night star, SIRIUS (aka the dog star), rises in conjunction* with the sun. Conjunction, in astronomy, is defined as the apparent meeting or passing of two celestial bodies. TAAS Fabulous Fifty A program for those new to astronomy Friday Evening, July 20, 2018, 8:00 pm All TAAS and other new and not so new astronomers are welcome. What is the TAAS Fabulous 50 Program? It is a set of 4 meetings spread across a calendar year in which a beginner to astronomy learns to locate 50 of the most prominent night sky objects visible to the naked eye. These include stars, constellations, asterisms, and Messier objects. Methodology 1. Meeting dates for each season in year 2018 Winter Jan 19 Spring Apr 20 Summer Jul 20 Fall Oct 19 2. Locate the brightest and easiest to observe stars and associated constellations 3. Add new prominent constellations for each season Tonight’s Schedule 8:00 pm – We meet inside for a slide presentation overview of the Summer sky. 8:40 pm – View night sky outside The Midnight Sky: Familiar Notes on the Stars and Planets, Edward Durkin, July 15, 1869 A Good Way to Start – Find North Polaris North Star Polaris is about the 50th brightest star. It appears isolated making it easy to identify. Circumpolar Stars Polaris Horizon Line Albuquerque -- 35° N Circumpolar Stars Capella the Goat Star AS THE WORLD TURNS The Circle of Perpetual Apparition for Albuquerque Deneb 1 URSA MINOR 2 3 2 URSA MAJOR & Vega BIG DIPPER 1 3 Draco 4 Camelopardalis 6 4 Deneb 5 CASSIOPEIA 5 6 Cepheus Capella the Goat Star 2 3 1 Draco Ursa Minor Ursa Major 6 Camelopardalis 4 Cassiopeia 5 Cepheus Clock and Calendar A single map of the stars can show the places of the stars at different hours and months of the year in consequence of the earth’s two primary movements: Daily Clock The rotation of the earth on it's own axis amounts to 360 degrees in 24 hours, or 15 degrees per hour (360/24). -
Predictable Patterns in Planetary Transit Timing Variations and Transit Duration Variations Due to Exomoons
Astronomy & Astrophysics manuscript no. ms c ESO 2016 June 21, 2016 Predictable patterns in planetary transit timing variations and transit duration variations due to exomoons René Heller1, Michael Hippke2, Ben Placek3, Daniel Angerhausen4, 5, and Eric Agol6, 7 1 Max Planck Institute for Solar System Research, Justus-von-Liebig-Weg 3, 37077 Göttingen, Germany; [email protected] 2 Luiter Straße 21b, 47506 Neukirchen-Vluyn, Germany; [email protected] 3 Center for Science and Technology, Schenectady County Community College, Schenectady, NY 12305, USA; [email protected] 4 NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA; [email protected] 5 USRA NASA Postdoctoral Program Fellow, NASA Goddard Space Flight Center, 8800 Greenbelt Road, Greenbelt, MD 20771, USA 6 Astronomy Department, University of Washington, Seattle, WA 98195, USA; [email protected] 7 NASA Astrobiology Institute’s Virtual Planetary Laboratory, Seattle, WA 98195, USA Received 22 March 2016; Accepted 12 April 2016 ABSTRACT We present new ways to identify single and multiple moons around extrasolar planets using planetary transit timing variations (TTVs) and transit duration variations (TDVs). For planets with one moon, measurements from successive transits exhibit a hitherto unde- scribed pattern in the TTV-TDV diagram, originating from the stroboscopic sampling of the planet’s orbit around the planet–moon barycenter. This pattern is fully determined and analytically predictable after three consecutive transits. The more measurements become available, the more the TTV-TDV diagram approaches an ellipse. For planets with multi-moons in orbital mean motion reso- nance (MMR), like the Galilean moon system, the pattern is much more complex and addressed numerically in this report. -
A Disintegrating Minor Planet Transiting a White Dwarf!
A Disintegrating Minor Planet Transiting a White Dwarf! Andrew Vanderburg1, John Asher Johnson1, Saul Rappaport2, Allyson Bieryla1, Jonathan Irwin1, John Arban Lewis1, David Kipping1,3, Warren R. Brown1, Patrick Dufour4, David R. Ciardi5, Ruth Angus1,6, Laura Schaefer1, David W. Latham1, David Charbonneau1, Charles Beichman5, Jason Eastman1, Nate McCrady7, Robert A. Wittenmyer8, & Jason T. Wright9,10. ! White dwarfs are the end state of most stars, including We initiated follow-up ground-based photometry to the Sun, after they exhaust their nuclear fuel. Between better time-resolve the transits seen in the K2 data (Figure 1/4 and 1/2 of white dwarfs have elements heavier than S1). We observed WD 1145+017 frequently over the course helium in their atmospheres1,2, even though these of about a month with the 1.2-meter telescope at the Fred L. elements should rapidly settle into the stellar interiors Whipple Observatory (FLWO) on Mt. Hopkins, Arizona; unless they are occasionally replenished3–5. The one of the 0.7-meter MINERVA telescopes, also at FLWO; abundance ratios of heavy elements in white dwarf and four of the eight 0.4-meter telescopes that compose the atmospheres are similar to rocky bodies in the Solar MEarth-South Array at Cerro Tololo Inter-American system6,7. This and the existence of warm dusty debris Observatory in Chile. Most of these data showed no disks8–13 around about 4% of white dwarfs14–16 suggest interesting or significant signals, but on two nights we that rocky debris from white dwarf progenitors’ observed deep (up to 40%), short-duration (5 minutes), planetary systems occasionally pollute the stars’ asymmetric transits separated by the dominant 4.5 hour atmospheres17. -
Your Guide to the Transit of Mercury of 9Th May 2016
!1 ! Your guide to the Transit of Mercury of 9th May 2016 a publication of the Public Outreach & Education Committee of the Astronomical Society of India Your guide to the Transit of Mercury 2016 !2 ! This work is licensed under a Creative Commons (Attribution - Non Commercial - ShareAlike) License. Please share/print/ photocopy/distribute this work widely, with attribution to the Public Outreach and Education Committee (POEC) of the Astronomical Society of India (ASI) under this same license. This license is granted for non-commercial use only. Contact details of the Public Outreach and Education Committee of the ASI : URL : http://astron-soc.in/outreach Email : [email protected] Facebook : asi poec Twitter : www.twitter.com/asipoec Download from : The pdf of this documents is available for free download from : http://astron-soc.in/outreach/activities/sky-event-related/transit- of-mercury-2016/ (also http://bit.ly/tom-india) Acknowledgement : We thank all those who made images available online either under the Creative Commons License or by a copyleft through image credits. Compiled by Niruj Ramanujam with contributions from Samir Dhurde, B.S. Shylaja and N. Rathnasree, for the POEC of the ASI April 2016 Your guide to the Transit of Mercury 2016 !3 1. Transit of Mercury ! Transit of Mercury, 8 Nov 2006, Transit of Venus, 6 Jun 2012, photographed by Eric Kounce, from Hungary Texas, USA DID YOU KNOW? The planets, with their moons, steadily revolve around the The next transit Sun, with Mercury taking 88 days and Neptune taking as of Mercury will much as 165 years to make one revolution! We barely occur on 9 May notice any of this, unless something spectacular happens to 2016 but it will not be visible remind us how fast this motion actually is. -
Contents JUPITER Transits
1 Contents JUPITER Transits..........................................................................................................5 JUPITER Conjunct Sun..............................................................................................6 JUPITER Opposite Sun............................................................................................10 JUPITER Sextile Sun...............................................................................................14 JUPITER Square Sun...............................................................................................17 JUPITER Trine Sun..................................................................................................20 JUPITER Conjunct Moon.........................................................................................23 JUPITER Opposite Moon.........................................................................................28 JUPITER Sextile Moon.............................................................................................32 JUPITER Square Moon............................................................................................36 JUPITER Trine Moon................................................................................................40 JUPITER Conjunct Mercury.....................................................................................45 JUPITER Opposite Mercury.....................................................................................48 JUPITER Sextile Mercury........................................................................................51 -
Dawn Spacecraft Begins Approach to Dwarf Planet Ceres 30 December 2014, by Elizabeth Landau
Dawn spacecraft begins approach to dwarf planet Ceres 30 December 2014, by Elizabeth Landau 2012, capturing detailed images and data about that body. "Ceres is almost a complete mystery to us," said Christopher Russell, principal investigator for the Dawn mission, based at the University of California, Los Angeles. "Ceres, unlike Vesta, has no meteorites linked to it to help reveal its secrets. All we can predict with confidence is that we will be surprised." The two planetary bodies are thought to be different in a few important ways. Ceres may have formed later than Vesta, and with a cooler interior. Current evidence suggests that Vesta only retained a small This artist's concept shows NASA's Dawn spacecraft amount of water because it formed earlier, when heading toward the dwarf planet Ceres. Credit: radioactive material was more abundant, which NASA/JPL-Caltech would have produced more heat. Ceres, in contrast, has a thick ice mantle and may even have an ocean beneath its icy crust. (Phys.org)—NASA's Dawn spacecraft has entered Ceres, with an average diameter of 590 miles (950 an approach phase in which it will continue to close kilometers), is also the largest body in the asteroid in on Ceres, a Texas-sized dwarf planet never belt, the strip of solar system real estate between before visited by a spacecraft. Dawn launched in Mars and Jupiter. By comparison, Vesta has an 2007 and is scheduled to enter Ceres orbit in average diameter of 326 miles (525 kilometers), March 2015. and is the second most massive body in the belt. -
A Warm Terrestrial Planet with Half the Mass of Venus Transiting a Nearby Star∗
Astronomy & Astrophysics manuscript no. toi175 c ESO 2021 July 13, 2021 A warm terrestrial planet with half the mass of Venus transiting a nearby star∗ y Olivier D. S. Demangeon1; 2 , M. R. Zapatero Osorio10, Y. Alibert6, S. C. C. Barros1; 2, V. Adibekyan1; 2, H. M. Tabernero10; 1, A. Antoniadis-Karnavas1; 2, J. D. Camacho1; 2, A. Suárez Mascareño7; 8, M. Oshagh7; 8, G. Micela15, S. G. Sousa1, C. Lovis5, F. A. Pepe5, R. Rebolo7; 8; 9, S. Cristiani11, N. C. Santos1; 2, R. Allart19; 5, C. Allende Prieto7; 8, D. Bossini1, F. Bouchy5, A. Cabral3; 4, M. Damasso12, P. Di Marcantonio11, V. D’Odorico11; 16, D. Ehrenreich5, J. Faria1; 2, P. Figueira17; 1, R. Génova Santos7; 8, J. Haldemann6, N. Hara5, J. I. González Hernández7; 8, B. Lavie5, J. Lillo-Box10, G. Lo Curto18, C. J. A. P. Martins1, D. Mégevand5, A. Mehner17, P. Molaro11; 16, N. J. Nunes3, E. Pallé7; 8, L. Pasquini18, E. Poretti13; 14, A. Sozzetti12, and S. Udry5 1 Instituto de Astrofísica e Ciências do Espaço, CAUP, Universidade do Porto, Rua das Estrelas, 4150-762, Porto, Portugal 2 Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, Rua Campo Alegre, 4169-007, Porto, Portugal 3 Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, PT1749-016 Lisboa, Portugal 4 Departamento de Física da Faculdade de Ciências da Universidade de Lisboa, Edifício C8, 1749-016 Lisboa, Portugal 5 Observatoire de Genève, Université de Genève, Chemin Pegasi, 51, 1290 Sauverny, Switzerland 6 Physics Institute, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland 7 Instituto de Astrofísica de Canarias (IAC), Calle Vía Láctea s/n, E-38205 La Laguna, Tenerife, Spain 8 Departamento de Astrofísica, Universidad de La Laguna (ULL), E-38206 La Laguna, Tenerife, Spain 9 Consejo Superior de Investigaciones Cientícas, Spain 10 Centro de Astrobiología (CSIC-INTA), Crta. -
Correlations Between Planetary Transit Timing Variations, Transit Duration Variations and Brightness fluctuations Due to Exomoons
Correlations between planetary transit timing variations, transit duration variations and brightness fluctuations due to exomoons April 4, 2017 K:E:Naydenkin1 and D:S:Kaparulin2 1 Academic Lyceum of Tomsk, High school of Physics and Math, Vavilova 8 [email protected] 2 Tomsk State University, Physics Faculty, Lenina av. 50 [email protected] Abstract Modern theoretical estimates show that with the help of real equipment we are able to detect large satellites of exoplanets (about the size of the Ganymede), although, numerical attempts of direct exomoon detection were unsuccessful. Lots of methods for finding the satellites of exoplanets for various reasons have not yielded results. Some of the proposed methods are oriented on a more accurate telescopes than those exist today. In this work, we propose a method based on relationship between the transit tim- ing variation (TTV) and the brightness fluctuations (BF) before and after the planetary transit. With the help of a numerical simulation of the Earth- Moon system transits, we have constructed data on the BF and the TTV for arXiv:1704.00202v1 [astro-ph.IM] 1 Apr 2017 any configuration of an individual transit. The experimental charts obtained indicate an easily detectable near linear dependence. Even with an artificial increase in orbital speed of the Moon and high-level errors in measurements the patterns suggest an accurate correlation. A significant advantage of the method is its convenience for multiple moons systems due to an additive properties of the TTV and the BF. Its also important that mean motion res- onance (MMR) in system have no affect on ability of satellites detection. -
Stellium Handbook Part
2 Donna Cunningham’s Books on the Outer Planets If you’re dealing with a stellium that contains one or more outer planets, these ebooks will help you understand their role in your chart and explore ways to change difficult patterns they represent. Since The Stellium Handbook can’t cover them in the depth they deserve, you’ll gain a greater perspective through these ebooks that devote entire chapters to the meanings of Uranus, Neptune, or Pluto in a variety of contexts. The Outer Planets and Inner Life volumes are $15 each if purchased separately, or $35 for all three—a $10 savings. To order, go to PayPal.com and tell them which books you want, Donna’s email address ([email protected]), and the amount. The ebooks arrive on separate emails. If you want them sent to an email address other than the one you used, let her know. The Outer Planets and Inner Life, V.1: The Outer Planets as Career Indicators. If your stellium has outer planets in the career houses (2nd, 6th, or 10th), or if it relates to your chosen career, this book can give you helpful insights. There’s an otherworldly element when the outer planets are career markers, a sense of serving a greater purpose in human history. Each chapter of this e-book explores one of these planets in depth. See an excerpt here. The Outer Planets and Inner Life, v.2: Outer Planet Aspects to Venus and Mars. Learn about the love lives of people who have the outer planets woven in with the primary relationship planets, Venus and Mars, or in the relationship houses—the 7th, 8th, and 5th. -
Spectrum May June 2016.Pub
Inside this issue: The Spectrum The Calendar 2 The Newsletter for the Buffalo Astronomical Obs report 3 Association Wilson Star Search 7 Randy B. Article 9 Astro Events 11 Eyes on the Earth 12 Star Chart 13 14 Mars Viewing 15 May/June Volume 18, Issue 3 Map 17 ….In This Issue: Did you miss Astro Day? Phil Newman didn’t! Here are some of his slides. hps://db./U8GFuAgM (more pic next issue). Dark Maer And The Demise Of The Dinosaurs. Randy Boswell does it again with another fascinang arcle. Usual charts, calendars. And obs report Don’t forget the 2016 BAA elecons are almost here. You will be deciding on who will serve on the board and guide the associaon into the next few years. There will be more informaon in upcoming meengs and posts, so stay tuned. 1 BAA Schedule of Astronomy Fun for 2016 Public Nights and Events Public Nights ‐ First Saturday of the Month March through October. 2016 Tentave Schedule of Events: May 7 Public Night at BMO May 9 Mercury Transit visible from Buffalo ‐ trip to clear skies anyone?? May 13 BAA meeng May 14 Wilson Star Search June 4 Public Night BMO June 10 BAA meeng‐ Elecons/party June 11 Wilson Star Search July 2 Public Night BMO July 9 Wilson Star Search July 30 BAA annual star party at BMO Aug 6 Public Night BMO Aug 13 Wilson Star Search‐ think meteors! Sep 2/3/4 Black Forest (Rain Fest) Star Party Cherry Springs Pa. Sep 3 Public Night BMO Sep 9 BAA Meeng Sept 10 Wilson Star Search Oct 1 Public Night BMO Oct 8 Wilson Star Search Oct 14 BAA meeng Nov 11 BAA meeng Dec 9 BAA Holiday party 2 Observatory Report The refrigerator is full again (thanks to Dennis B), so I will connue to hold "Tues at the Observatory" The Snow season is over, and the rainy season has started (never stopped), I will be holding Tues night on the clearest night Mon/Tue/or Wed.