Near-Infrared Mapping and Physical Properties of the Dwarf-Planet Ceres
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Astronomy 114 Problem Set # 2 Due: 16 Feb 2007 Name
Astronomy 114 Problem Set # 2 Due: 16 Feb 2007 Name: SOLUTIONS As we discussed in class, most angles encountered in astronomy are quite small so degrees are often divded into 60 minutes and, if necessary, minutes in 60 seconds. Therefore to convert an angle measured in degrees to minutes, multiply by 60. To convert minutes to seconds, multiply by 60. To use trigonometric formulae, angles might have to be written in terms of radians. Recall that 2π radians = 360 degrees. Therefore, to convert degrees to radians, multiply by 2π/360. 1 The average angular diameter of the Moon is 0.52 degrees. What is the angular diameter of the moon in minutes? The goal here is to change units from degrees to minutes. 0.52 degrees 60 minutes = 31.2 minutes 1 degree 2 The mean angular diameter of the Sun is 32 minutes. What is the angular diameter of the Sun in degrees? 32 minutes 1 degrees =0.53 degrees 60 minutes 0.53 degrees 2π =0.0093 radians 360 degrees Note that the angular diameter of the Sun is nearly the same as the angular diameter of the Moon. This similarity explains why sometimes an eclipse of the Sun by the Moon is total and sometimes is annular. See Chap. 3 for more details. 3 Early astronomers measured the Sun’s physical diameter to be roughly 109 Earth diameters (1 Earth diameter is 12,750 km). Calculate the average distance to the Sun using trigonometry. (Hint: because the angular size is small, you can make the approximation that sin α = α but don’t forget to express α in radians!). -
Surface Characteristics of Transneptunian Objects and Centaurs from Photometry and Spectroscopy
Barucci et al.: Surface Characteristics of TNOs and Centaurs 647 Surface Characteristics of Transneptunian Objects and Centaurs from Photometry and Spectroscopy M. A. Barucci and A. Doressoundiram Observatoire de Paris D. P. Cruikshank NASA Ames Research Center The external region of the solar system contains a vast population of small icy bodies, be- lieved to be remnants from the accretion of the planets. The transneptunian objects (TNOs) and Centaurs (located between Jupiter and Neptune) are probably made of the most primitive and thermally unprocessed materials of the known solar system. Although the study of these objects has rapidly evolved in the past few years, especially from dynamical and theoretical points of view, studies of the physical and chemical properties of the TNO population are still limited by the faintness of these objects. The basic properties of these objects, including infor- mation on their dimensions and rotation periods, are presented, with emphasis on their diver- sity and the possible characteristics of their surfaces. 1. INTRODUCTION cally with even the largest telescopes. The physical char- acteristics of Centaurs and TNOs are still in a rather early Transneptunian objects (TNOs), also known as Kuiper stage of investigation. Advances in instrumentation on tele- belt objects (KBOs) and Edgeworth-Kuiper belt objects scopes of 6- to 10-m aperture have enabled spectroscopic (EKBOs), are presumed to be remnants of the solar nebula studies of an increasing number of these objects, and signifi- that have survived over the age of the solar system. The cant progress is slowly being made. connection of the short-period comets (P < 200 yr) of low We describe here photometric and spectroscopic studies orbital inclination and the transneptunian population of pri- of TNOs and the emerging results. -
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°. -
Exploration of the Kuiper Belt by High-Precision Photometric Stellar Occultations: First Results F
Exploration of the Kuiper Belt by High-Precision Photometric Stellar Occultations: First Results F. Roques, A. Doressoundiram, V. Dhillon, T. Marsh, S. Bickerton, J. J. Kavelaars, M. Moncuquet, M. Auvergne, I. Belskaya, M. Chevreton, et al. To cite this version: F. Roques, A. Doressoundiram, V. Dhillon, T. Marsh, S. Bickerton, et al.. Exploration of the Kuiper Belt by High-Precision Photometric Stellar Occultations: First Results. Astronomical Journal, Amer- ican Astronomical Society, 2006, 132, pp.819-822. 10.1086/505623. hal-00640050 HAL Id: hal-00640050 https://hal.archives-ouvertes.fr/hal-00640050 Submitted on 10 Nov 2011 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. The Astronomical Journal, 132:819Y822, 2006 August # 2006. The American Astronomical Society. All rights reserved. Printed in U.S.A. EXPLORATION OF THE KUIPER BELT BY HIGH-PRECISION PHOTOMETRIC STELLAR OCCULTATIONS: FIRST RESULTS F. Roques,1,2 A. Doressoundiram,1 V. Dhillon,3 T. Marsh,4 S. Bickerton,5,6 J. J. Kavelaars,5 M. Moncuquet,1 M. Auvergne,1 I. Belskaya,7 M. Chevreton,1 F. Colas,1 A. Fernandez,1 A. Fitzsimmons,8 J. Lecacheux,1 O. Mousis,9 S. -
The Opposition and Tilt Effects of Saturn's Rings from HST Observations
The opposition and tilt effects of Saturn’s rings from HST observations Heikki Salo, Richard G. French To cite this version: Heikki Salo, Richard G. French. The opposition and tilt effects of Saturn’s rings from HST observa- tions. Icarus, Elsevier, 2010, 210 (2), pp.785. 10.1016/j.icarus.2010.07.002. hal-00693815 HAL Id: hal-00693815 https://hal.archives-ouvertes.fr/hal-00693815 Submitted on 3 May 2012 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Accepted Manuscript The opposition and tilt effects of Saturn’s rings from HST observations Heikki Salo, Richard G. French PII: S0019-1035(10)00274-5 DOI: 10.1016/j.icarus.2010.07.002 Reference: YICAR 9498 To appear in: Icarus Received Date: 30 March 2009 Revised Date: 2 July 2010 Accepted Date: 2 July 2010 Please cite this article as: Salo, H., French, R.G., The opposition and tilt effects of Saturn’s rings from HST observations, Icarus (2010), doi: 10.1016/j.icarus.2010.07.002 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. -
Summer ASTRONOMICAL CALENDAR
2020 Buhl Planetarium & Observatory ASTRONOMICAL CALENDAR Summer JUNE 2020 1 Mon M13 globular cluster well-placed for observation (Use telescope in Hercules) 3 Wed Mercury at highest point in evening sky (Look west-northwest at sunset) 5 Fri Full Moon (Strawberry Moon) 9 Tues Moon within 3 degrees of both Jupiter and Saturn (Look south before dawn) 13 Sat Moon within 3 degrees of Mars (Look southeast before dawn) Moon at last quarter phase 20 Sat Summer solstice 21 Sun New Moon 27 Sat Bootid meteor shower peak (Best displays soon after dusk) 28 Sun Moon at first quarter phase JULY 2020 5 Sun Full Moon (Buck Moon) Penumbral lunar eclipse (Look south midnight into Monday) Moon within 2 degrees of Jupiter (Look south midnight into Monday) 6 Mon Moon within 3 degrees of Saturn (Look southwest before dawn) 8 Wed Venus at greatest brightness (Look east at dawn) 11 Sat Moon within 2 degrees of Mars (Look south before dawn) 12 Sun Moon at last quarter phase 14 Tues Jupiter at opposition (Look south midnight into Wednesday) 17 Fri Moon just over 3 degrees from Venus (Look east before dawn) 20 Mon New Moon; Saturn at opposition (Look south midnight into Tuesday) 27 Mon Moon at first quarter phase 28 Tues Piscis Austrinid meteor shower peak (Best displays before dawn) 29 Wed Southern Delta Aquariid and Alpha Capricornid meteor showers peak AUGUST 2020 1 Sat Moon within 2 degrees of Jupiter (Look southeast after dusk) 2 Sun Moon within 3 degrees of Saturn (Look southeast after dusk) 3 Mon Full Moon (Sturgeon Moon) 9 Sun Conjunction of the Moon and -
Historical Events Around US Neptune Cycles US Neptune: 22°25’ Virgo Greg Knell
Historical Events around US Neptune Cycles US Neptune: 22°25’ Virgo Greg Knell As we are in the midst of the United States’ Second Neptune Opposition, I initiated this research to consider the historical threads of this nation’s Neptunian narrative throughout its past 245 years. That this Neptune Opposition arrived to usher in the US’ First Pluto Return and its Fifth Chiron Return emphasized its prominence. Upon delving into this work, however, I came of the opinion that to isolate Neptune and its cycle would not do justice to what I sense is its place and purpose in the greater scheme of all relevant planetary cycles. Given that one Uranus cycle is roughly half of a Neptune cycle, Uranus Oppositions and Returns coincide with Neptune Squares, Oppositions, and Returns. Since its inception, the United States has had six Neptunian Timeline events: one return, two oppositions, and three squares. Among these, Pluto’s Timeline events have coincided four times. Given Pluto’s erratic orbit, this was by no means guaranteed. Pluto’s opposition occurred almost two-thirds through its entire orbit – in 1935, not even 100 years ago – instead of at the half way point of slightly before the turn of the Twentieth Century. This timing provides a clue as to the purpose, the plan, and the mission of these planetary cycles at this particular point in history. While it would be possible to isolate Neptune, perhaps, or any of the other cycles, I choose not to do so, as I do not believe that inquiry is worthy of individual pursuit for my purposes here. -
March 21–25, 2016
FORTY-SEVENTH LUNAR AND PLANETARY SCIENCE CONFERENCE PROGRAM OF TECHNICAL SESSIONS MARCH 21–25, 2016 The Woodlands Waterway Marriott Hotel and Convention Center The Woodlands, Texas INSTITUTIONAL SUPPORT Universities Space Research Association Lunar and Planetary Institute National Aeronautics and Space Administration CONFERENCE CO-CHAIRS Stephen Mackwell, Lunar and Planetary Institute Eileen Stansbery, NASA Johnson Space Center PROGRAM COMMITTEE CHAIRS David Draper, NASA Johnson Space Center Walter Kiefer, Lunar and Planetary Institute PROGRAM COMMITTEE P. Doug Archer, NASA Johnson Space Center Nicolas LeCorvec, Lunar and Planetary Institute Katherine Bermingham, University of Maryland Yo Matsubara, Smithsonian Institute Janice Bishop, SETI and NASA Ames Research Center Francis McCubbin, NASA Johnson Space Center Jeremy Boyce, University of California, Los Angeles Andrew Needham, Carnegie Institution of Washington Lisa Danielson, NASA Johnson Space Center Lan-Anh Nguyen, NASA Johnson Space Center Deepak Dhingra, University of Idaho Paul Niles, NASA Johnson Space Center Stephen Elardo, Carnegie Institution of Washington Dorothy Oehler, NASA Johnson Space Center Marc Fries, NASA Johnson Space Center D. Alex Patthoff, Jet Propulsion Laboratory Cyrena Goodrich, Lunar and Planetary Institute Elizabeth Rampe, Aerodyne Industries, Jacobs JETS at John Gruener, NASA Johnson Space Center NASA Johnson Space Center Justin Hagerty, U.S. Geological Survey Carol Raymond, Jet Propulsion Laboratory Lindsay Hays, Jet Propulsion Laboratory Paul Schenk, -
Abstracts of the 50Th DDA Meeting (Boulder, CO)
Abstracts of the 50th DDA Meeting (Boulder, CO) American Astronomical Society June, 2019 100 — Dynamics on Asteroids break-up event around a Lagrange point. 100.01 — Simulations of a Synthetic Eurybates 100.02 — High-Fidelity Testing of Binary Asteroid Collisional Family Formation with Applications to 1999 KW4 Timothy Holt1; David Nesvorny2; Jonathan Horner1; Alex B. Davis1; Daniel Scheeres1 Rachel King1; Brad Carter1; Leigh Brookshaw1 1 Aerospace Engineering Sciences, University of Colorado Boulder 1 Centre for Astrophysics, University of Southern Queensland (Boulder, Colorado, United States) (Longmont, Colorado, United States) 2 Southwest Research Institute (Boulder, Connecticut, United The commonly accepted formation process for asym- States) metric binary asteroids is the spin up and eventual fission of rubble pile asteroids as proposed by Walsh, Of the six recognized collisional families in the Jo- Richardson and Michel (Walsh et al., Nature 2008) vian Trojan swarms, the Eurybates family is the and Scheeres (Scheeres, Icarus 2007). In this theory largest, with over 200 recognized members. Located a rubble pile asteroid is spun up by YORP until it around the Jovian L4 Lagrange point, librations of reaches a critical spin rate and experiences a mass the members make this family an interesting study shedding event forming a close, low-eccentricity in orbital dynamics. The Jovian Trojans are thought satellite. Further work by Jacobson and Scheeres to have been captured during an early period of in- used a planar, two-ellipsoid model to analyze the stability in the Solar system. The parent body of the evolutionary pathways of such a formation event family, 3548 Eurybates is one of the targets for the from the moment the bodies initially fission (Jacob- LUCY spacecraft, and our work will provide a dy- son and Scheeres, Icarus 2011). -
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 -
Planetary Diameters in the Sürya-Siddhänta DR
Planetary Diameters in the Sürya-siddhänta DR. RICHARD THOMPSON Bhaktivedanta Institute, P.O. Box 52, Badger, CA 93603 Abstract. This paper discusses a rule given in the Indian astronomical text Sürya-siddhänta for comput- ing the angular diameters of the planets. I show that this text indicates a simple formula by which the true diameters of these planets can be computed from their stated angular diameters. When these computations are carried out, they give values for the planetary diameters that agree surprisingly well with modern astronomical data. I discuss several possible explanations for this, and I suggest that the angular diameter rule in the Sürya-siddhänta may be based on advanced astronomical knowledge that was developed in ancient times but has now been largely forgotten. In chapter 7 of the Sürya-siddhänta, the 13th çloka gives the following rule for calculating the apparent diameters of the planets Mars, Saturn, Mercury, Jupiter, and Venus: 7.13. The diameters upon the moon’s orbit of Mars, Saturn, Mercury, and Jupiter, are de- clared to be thirty, increased successively by half the half; that of Venus is sixty.1 The meaning is as follows: The diameters are measured in a unit of distance called the yojana, which in the Sürya-siddhänta is about five miles. The phrase “upon the moon’s orbit” means that the planets look from our vantage point as though they were globes of the indicated diameters situated at the distance of the moon. (Our vantage point is ideally the center of the earth.) Half the half of 30 is 7.5. -
Appulses of Jupiter and Saturn
IN ORIGINAL FORM PUBLISHED IN: arXiv:(side label) [physics.pop-ph] Sternzeit 46, No. 1+2 / 2021 (ISSN: 0721-8168) Date: 6th May 2021 Appulses of Jupiter and Saturn Joachim Gripp, Emil Khalisi Sternzeit e.V., Kiel and Heidelberg, Germany e-mail: gripp or khalisi ...[at]sternzeit-online[dot]de Abstract. The latest conjunction of Jupiter and Saturn occurred at an optical distance of 6 arc minutes on 21 December 2020. We re-analysed all encounters of these two planets between -1000 and +3000 CE, as the extraordinary ones (< 10′) take place near the line of nodes every 400 years. An occultation of their discs did not and will not happen within the historical time span of ±5,000 years around now. When viewed from Neptune though, there will be an occultation in 2046. Keywords: Jupiter-Saturn conjunction, Appulse, Trigon, Occultation. Introduction reason is due to Earth’s orbit: while Jupiter and Saturn are locked in a 5:2-mean motion resonance, the Earth does not The slowest naked-eye planets Jupiter and Saturn made an join in. For very long periods there could be some period- impressive encounter in December 2020. Their approaches icity, however, secular effects destroy a cycle, e.g. rotation have been termed “Great Conjunctions” in former times of the apsides and changes in eccentricity such that we are and they happen regularly every ≈20 years. Before the left with some kind of “semi-periodicity”. discovery of the outer ice giants these classical planets rendered the longest known cycle. The separation at the instant of conjunction varies up to 1 degree of arc, but the Close Encounters latest meeting was particularly tight since the planets stood Most pass-bys of Jupiter and Saturn are not very spectac- closer than at any other occasion for as long as 400 years.