Planet Mercury: Basic Features

Total Page:16

File Type:pdf, Size:1020Kb

Planet Mercury: Basic Features 29.07.2014 www.DLR.de • Chart 1 Mercury Geodesy and Geophysics J. Oberst & T. Spohn DLR Institute of Planetary Research, Berlin, Germany Planet Mercury: Basic Features • First planet, closest to the Sun • Small elongation from the Sun == > difficult to observe from Earth • High solar radiation, 10 x stronger than near Earth and high surface temperatures: max. 430°C • Small (4878 km Ø)Strindberg • Only slightly larger than Moon • But e.g. smaller than Ganymede • High in density (5.4 gr/cm3) • Large iron-rich core? • Magnetic field • Dipole • Fluid outer core 1 29.07.2014 Mean Density Constraint Planet Mercury: Orbit and Rotation • High-eccentricity orbit (e=0.205) Solar irradiation varies over the year • Mercury in spin/orbital 3:2 resonance planet makes 3 full rotations while it moves about the Sun 2 times • Small librations (oscillations of mean rotational rate) Strindberg amplitude / phase of librations linked to interior structure (molten core?) 2 29.07.2014 Mercury’s Dynamical State Mercury Precession • In 1859, French mathematician and astronomer Urbain Le Verrier: • slow precession of Mercury’s orbit around the Sun could not be completely explained by Newtonian mechanics and perturbations by the known planets. • Search for hypothetical planet, named Vulcan, but no such planet ever found 3 29.07.2014 Mercury Precession • Newtonian mechanics, including perturbations from other planets, predicts a precession of 5557 arcsec (1.5436°) per century. • Albert Einstein’s General Theory of Relativity provided explanation for observed precession: relativistic perihelion advance excess, 42.98 arcsec per century • (much smaller effects for other planets: 8.62 arcseconds per century for Venus, 3.84 for Earth, 1.35 for Mars) www.DLR.de • Chart 8 > Vortrag > Autor • Dokumentname > Datum Peale‘s Experiment - Since Mercury is in a bound rotation state (Cassini state) some of the ambiguity in determining the moment of inertia from the low order terms of the gravity field can be removed. - In particular, if J2 and J22 are known, together with the libration amplitude and the planet‘s obliquity, then 2 - C/MR and Cm/C can be calculated, where C is the moment of inertia of the planet about the rotational axis, M ist mass and R its equatorial radius. Cm/C is the ratio between the moment of inertia of the solid part of the planet to that of the entire planet. - From Cm and C, Cc can be calculated - These features make Mercury unique targets of applying geophysical/geodetic tools of interior structure modeling 4 29.07.2014 Early Measurements of Librations • Measurements of librations using radar-reflecting surface disparities and „Disco ball effect“ • Arecibo and other radar systems operating jointly • Measurements possible today using MESSENGER data from orbit MESSENGER Spacecraft MESSENGER = Mercury Surface, Space Environment, Geochemistry and Ranging •Mission in the NASA Discovery program •Launch: August 3, 2004 •Mercury Orbit Insertion: March 18, 2011 •Jürgen Oberst and Jörn Helbert, European CoI‘s 5 29.07.2014 MESSENGER Camera and Laser Altimeter Mercury Dual Imaging System (MDIS) MESSENGER Laser Altimeter (MLA) Polar elliptic orbit Implications for instrument operations Laser altimeter coverage only for Northern hemisphere Northern hemisphere: mostly wide-angle imaging Southern hemisphere: mostly narrow-angle imaging 6 29.07.2014 Measurement of Mercury Rotation Parameters: Rotation pole, rotation rate, libration amplitude Measurement idea: - Stereo DTMs geometrically comparably rigid - Measure offsets of multitemporal MLA profiles with respect to rigid DTM - Use co-registrations of stereo DTMs and MLA profiles for precise measurements Rotation Pole Position all ellipses are 1σ Margot’ 12 Margot’ 07 equal obliquity line Mazarico’ 14 (Margot et al., 2012) H03 H05 7 29.07.2014 Libration Amplitude (arc sec) (B – A)/Cm [10^(-4)] JLM’ 07 2.03 ± 0.12 JLM’ 12 2.18 ± 0.09 H03 2.07 ± 0.22 H03* 2.03 ± 0.22 H03** 2.17 ± 0.18 H05 2.30 ± 0.30 * MLA profiles at merging times of SPKs (Wednesdays ± 1 day) were excluded from estimation (we are currently making tests using new SPK kernel, May 2…) ** fit to longitudinal shifts of individual profiles, corrected for spin rate trend, best fit shown in red Mercury’s Internal Structure 8 29.07.2014 www.DLR.de • Chart 17 MESSENGER Constraints Improved geodetic parameters provided by MESSENGER Value 1σ Radius 2439.1km - Mass 3.3012x1023kg 0.0004x1023kg C/MR2 0.353 ±0.017 Cmantle/C 0.452 ±0.035 Smith, D., and 16 co-authors: Gravity Field and Internal Structure of Mercury from MESSENGER, Science, vol. 336, pp. 214-217, 2012. www.DLR.de • Chart 18 Four-Layer-Structural Model Constraints: Mean Density MoI Cm/C Model Assumptions: Hydrostatic Equilibrium Adiabatic temperature profile, 50 K non- adiabatic temperature jumps at CMB and ICB 2nd order Birch-Murnaghan EOS Fe - inner core, Fe-FeS outer core Parameters varied: Mantle Density between 3200 and 4300 kg/m3 Crust Thickness between 50 and 150 km at 2700 kg/m3 Core radius Inner Core Radius Results: Outer Core Sulfur Content Density Profile Elastic Parameters 9 29.07.2014 www.DLR.de • Chart 19 Distribution of Models: Geodetic Constraints Cm/C = 0.452 C/MR2=0.353 x /C m C Margot et al. 2012 MoI www.DLR.de • Chart 20 Distribution of Models: Geodetic Constraints ±1σ Cm/C = 0.452 σ 1 C/MR2=0.353 x ± MoI Mantle Mantle MoI 10 29.07.2014 www.DLR.de • Chart 21 Variation of Mantle Density mantle density: 4300 kg/m3 mantle density: 3700 kg/m3 x mantle density: 3200 kg/m3 www.DLR.de • Chart 22 Distribution of Models x 11 29.07.2014 www.DLR.de • Chart 23 Distribution of Models x Tidal Love Numbers h2 und k2 Body tide Love numbers are useful to set further constraints on Mercury‘s interior structure. 12 29.07.2014 Model Range Radius: 2439.1 km Pressure: 0 GPa Crustal thickness: 25...75 km Pressure: 0.3...0.7 GPa Radius: 1960...2060 km Pressure: 4.5...6.5 GPa Radius: 1...1000 km Pressure: 20...40 GPa Radius: 0 km Pressure: 32...41 GPa Geodetic constraints are satisfied by an olivine mantle and a plagioclase-rich crust. Mercury Surface • First visual appearance: surface heavily cratered, very Lunar-like • Extensive volcanism – Plains: km-thick deposits sequentially emplaced (alternative: impact ejecta ponding?) – Evidence for existence of volcanic vents • Evidence for high tectonic activity in the past – rapid cooling and contraction – „Discovery Rupes“, thrust fault system, 400 km long 13 29.07.2014 www.DLR.de • Chart 27 Seismological Observables Inferred from Structural Models of Mercury’s Interior > T. Steinke • > 14.06.2012 Volatiles and Crust Rock Chemistry www.DLR.de • Chart 28 > Vortrag > Autor • Dokumentname > Datum Magnetic Field 14 29.07.2014 Ice on Mercury? • Rotational axis of Mercury almost perpendicular to orbit plane == > – No seasons (!) – Always low sun, long shadows near poles – Some crater floors near pole in permanent shadow • Arecibo radar discovered highly reflective material in polar craters, 1999 • Ice? Sulfur? • Deposits in craters confirmed by MESSENGER, 2011 450 km 15 29.07.2014 Lobate scarps and global contraction • Mercury’s surface is dominated by contractional features • “Lobate scarps” are the most prominent tectonic landform • Surface-breaking thrust faults resulting from global planetary contraction due to secular cooling and, possibly, core freezing • Measurements of scarps length and elevation yield fault displacement and, in turn, global Watters et al. (2009) reduction of planetary radius Global contraction from MESSENGER Byrne et al. (2014) • Early estimates of contraction based on Mariner 10 images between 1 and 2 km (e.g. Watters et al., 2009) • Latest MESSENGER observations yield a significantly larger contraction between 4 and 6 km due to global coverage and better illumination conditions (Di Achille et al., 2012; Byrne et al. 2014) 16 29.07.2014 Global contraction and interior evolution • Global contraction poses a tight constraint on interior dynamics and evolution • Planetary radius changes can be calculated from thermo-chemical evolution models of mantle and core: - interior heating / cooling ⟹ expansion / contraction - partial melting and crustal production ⟹ expansion - core solidification ⟹ contraction Tosi et al. (2013) Evolution scenario Tosi et al. (2013) • Initial heating phase accompanied by crustal production and expansion • Typical crustal thicknesses between 20 and 40 km • After ~1.5 Gyr: mantle and core cooling (~50 K/Gyr) and global contraction (~2 km/Gyr) • Mantle convection ceases after ~4 Gyr: Mercury may be dynamically inactive at present • Models favor late core freezing with a small contribution to global contraction 17 29.07.2014 MESSENGER Geodesy and Mapping Results Topographic modeling using stereo images: Quadrangle Scheme H01 H05 H04 H03 H02 H10 H09 H08 H07 H06 H14 H13 H12 H11 H15 Map tile sheet, Mollweide projection • For practical reasons the Mercury surface is separated into 15 tiles • Northern hemisphere quads are used for MLA co-registration and comparisons of both topographic products • After completion of each tile all tiles will be combined to a homogenous global DTM representation 18 29.07.2014 Northern high latitude and polar quads • ~3,000 MDIS-NAC and ~17,000 H03 MDIS-WAC G images used H04 • ~50,000 stereo pairs • ~10 billion object points • Mean intersection error ~40 m H01 Elevation [km] Elevation [km] -5.4 3.0 -5.0 4.3 H02 H05 Elevation [km] -4.9 2.4 Elevation [km] Elevation [km] -5.3 4.0 -5.6 3.6 H03 – Search for New Impact Basins 3.0 Elevation [km] -5.4 DLR Stereo DTM 19 29.07.2014
Recommended publications
  • 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°.
    [Show full text]
  • Phobos, Deimos: Formation and Evolution Alex Soumbatov-Gur
    Phobos, Deimos: Formation and Evolution Alex Soumbatov-Gur To cite this version: Alex Soumbatov-Gur. Phobos, Deimos: Formation and Evolution. [Research Report] Karpov institute of physical chemistry. 2019. hal-02147461 HAL Id: hal-02147461 https://hal.archives-ouvertes.fr/hal-02147461 Submitted on 4 Jun 2019 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. Phobos, Deimos: Formation and Evolution Alex Soumbatov-Gur The moons are confirmed to be ejected parts of Mars’ crust. After explosive throwing out as cone-like rocks they plastically evolved with density decays and materials transformations. Their expansion evolutions were accompanied by global ruptures and small scale rock ejections with concurrent crater formations. The scenario reconciles orbital and physical parameters of the moons. It coherently explains dozens of their properties including spectra, appearances, size differences, crater locations, fracture symmetries, orbits, evolution trends, geologic activity, Phobos’ grooves, mechanism of their origin, etc. The ejective approach is also discussed in the context of observational data on near-Earth asteroids, main belt asteroids Steins, Vesta, and Mars. The approach incorporates known fission mechanism of formation of miniature asteroids, logically accounts for its outliers, and naturally explains formations of small celestial bodies of various sizes.
    [Show full text]
  • 5 the Orbit of Mercury
    Name: Date: 5 The Orbit of Mercury Of the five planets known since ancient times (Mercury, Venus, Mars, Jupiter, and Saturn), Mercury is the most difficult to see. In fact, of the 6 billion people on the planet Earth it is likely that fewer than 1,000,000 (0.0002%) have knowingly seen the planet Mercury. The reason for this is that Mercury orbits very close to the Sun, about one third of the Earth’s average distance. Therefore it is always located very near the Sun, and can only be seen for short intervals soon after sunset, or just before sunrise. It is a testament to how carefully the ancient peoples watched the sky that Mercury was known at least as far back as 3,000 BC. In Roman mythology Mercury was a son of Jupiter, and was the god of trade and commerce. He was also the messenger of the gods, being “fleet of foot”, and commonly depicted as having winged sandals. Why this god was associated with the planet Mercury is obvious: Mercury moves very quickly in its orbit around the Sun, and is only visible for a very short time during each orbit. In fact, Mercury has the shortest orbital period (“year”) of any of the planets. You will determine Mercury’s orbital period in this lab. [Note: it is very helpful for this lab exercise to review Lab #1, section 1.5.] Goals: to learn about planetary orbits • Materials: a protractor, a straight edge, a pencil and calculator • Mercury and Venus are called “inferior” planets because their orbits are interior to that of the Earth.
    [Show full text]
  • Field Astronomy Circumpolar Star at Elongation ➢ at Elongation a Circumpolar Star Is at the Farthest Position from the Pole Either in the East Or West
    Field Astronomy Circumpolar Star at Elongation ➢ At elongation a circumpolar star is at the farthest position from the pole either in the east or west. ➢ When the star is at elongation (East or West), which is perpendicular to the N-S line. ➢ Thus the ZMP is 90° as shown in the figure below. Distances between two points on the Earth’s surface ➢ Direct distance From the fig. above, in the spherical triangle APB P = Difference between longitudes of A and B BP = a = co-latitude of B = 90 – latitude of B AP = b = co-latitude of A = 90 – latitude of A Apply the cosine rule: cosp− cos a cos b CosP = sinab sin Find the value of p = AB Then the distance AB = arc length AB = ‘p’ in radians × radius of the earth ➢ Distance between two points on a parallel of latitude Let A and B be the two points on the parallel latitude θ. Let A’ and B’ be the corresponding points on the equator having the same longitudes (ФB, ФA). Thus from the ∆ O’AB AB = O’B(ФB - ФA) From the ∆ O’BO o O’B = OB’ sin (90- θ) Since =BOO ' 90 = R cos θ where R=Radius of the Earth. AB= (ФB - ФA) R cos θ where ФB , ФA are longitudes of B and A in radians. Practice Problems 1. Find the shortest distance between two places A and B on the earth for the data given below: Latitude of A = 14° N Longitude of A = 60°30‘E Latitude of B = 12° N Longitude of A = 65° E Find also direction of B from A.
    [Show full text]
  • Observing Project
    Observing Project Objectives: • Learn how to “practically” measure angles on the sky • How to take data and assess measurement errors • How to plot and interpret graphs • Geometry of Earth-Moon-Sun system • Measure the orbital period of the Moon • Predict the phase of the moon of a future date th • First 3 Observations Due May 29 !!!! Moon Moves Across the Constellations Could measure the movement against the background stars The Moon moves at an angle (difficult to measure) The stars themselves move over days due to our revolution around the Sun Measure with respect to the sun! Moon’s Elongation: Separation of the Moon and Sun in the sky. Moon’s Elongation Angle Moon’s Orbit • Fix the Moon-Sun geometry • Elongation angle changes as the Moon orbits • So do the Moon phases 315° 225° 270° Moon Phase Number TPS At what Elongation angle is the Moon visible during the day? 315° A. 100 B. 45 225° C. 180 270° D. 225 TPS What Moon phase could you directly measure the Moon’s Elongation Angle? 315° A. Waxing Gibbous 225° B. Waxing Crescent 270° C. Full Moon D. Depends on the time of year *Don’t Look Directly into the SUN!!! • How do we measure the Moon’s elongation angle at night??? • Hour Angle: angle of object from your local Meridian • What is the time of day of the “little cowboy”? • A: Midnight Meridian • How do we measure the Sun’s HA at night??? • Our clocks are based of the Sun’s Position. • Noon: when the Sun crosses our Meridian • What is the HA of the Sun at Midnight? • A: 180 degrees Meridian Moon Elongation = Sun HA – Moon HA Daylight Savings Time Artificially move the clocks forward by 1 hour How does this change Astronomical Noon??? Would this affect your measurement??? Mountain Standard Time (MST) • The Sun is closer to the Meridian Mountain Daylight Time (MDT) MST = MDT – 1 hour Hours to Degrees Earth rotates once every 24 hours • 360 degrees per 24 hours • 360/24 = 15 (degrees/hour) Sun’s HA (degrees) = [ MST – 12 (noon) ] * 15 What is the HA of a first quarter Moon at midnight? A.
    [Show full text]
  • Astronomy Lab: Planets
    Phys 102 Astronomy Name ____________________Key POSITIONS OF THE PLANETS PLANETARY POSITIONS WITH RESPECT TO THE SUN: 23 Use appendix 11 in the Field Guide for February 1, 2021 to complete the following table: Object Planetary Longitude Atlas Chart # Constellation Elongation Sol () 313 32 Capricornus ZERO! Planets ☿ in order Mercury ( ) 326 32 Capricornus 13° E of orbit Venus(♀) 300 43 Capricornus 13° W distance from the Mars (♂) 43 22 Aries 90° E Sun. Jupiter (♃) 310 31/43 Capricornus 3° W Saturn (♄) 305 31/43 Capricornus 8° W PLANETARY POSITIONS IN THE SKY The digram below shows an observer looking south at sunset. From the planetary longitude of the sun and planets abovee, show where the planets will be in the observer’s sky (some may be below the horizon). Discuss how these positions correspond to the times the planets will be visible to this observer (eg. after sunset, before sunrise or most of the night). 11 Sun’s PL + 90° _______43° ♂ At E. Quadrature! Observer’s meridian Come look for the planets with me! ☿ Sun’s PL ± 180 Sun’s PL _______133° _______ E observer W ♃ 313° Sun setting on looking ♄ western horizon south ♀ Sun’s PL - 90°: _______223° Phys. 102: Astronomy Spring 2021 PLANETARY POSITIONS IN THE SOLAR SYSTEM A view of the solar system as seen FROM ABOVE THE NORTH ECLIPTIC POLE with the sun in the center is shown below. The line from the Earth ( ) to the Sun ( ) represents the planetary longitude of the sun. For each of the five visible planets, 1) Center a protractor on the Earth, measure the elongation angle from the sun's longitude.
    [Show full text]
  • Contents 2 Jan
    By Martin Ratcliffe and Richard Talcott Sky Guide 2018 Mars shines brilliantly and looms large through telescopes this year as it puts on its finest show since 2003. NASA/JPL-CALTECH contents 2 Jan. 2018 Eclipse of the Blue Moon 3 Feb. 2018 Target galaxies these cool winter nights 4 March 2018 Catch Mercury at dusk 5 April 2018 The Lyre plays a sweet meteor song 6 May 2018 Jupiter rules spring nights 7 June 2018 Saturn’s rings on gorgeous display 8 July 2018 Red Planet renaissance 9 Aug. 2018 Prime time for the Perseids 10 Sept. 2018 Venus blazes in the evening twilight 11 Oct. 2018 An ice giant butts into the Ram Martin Ratcliffe provides professional 12 Nov. 2018 Juno at its best in 35 years planetarium development for Sky-Skan, Inc. Richard Talcott is a senior editor of Astronomy. 13 Dec. 2018 Making a swing past Earth 14 2019 Preview Looking ahead to next year ... A supplement to Astronomy magazine 618364 2018 Jan. S M T W T F S Eclipse of the 2 3 4 5 6 7 9 10 11 12 13 14 15 17 18 19 20 Blue Moon 21 22 23 25 26 27 28 29 30 anuary features two third of the country experience Full Moons, both of only the initial partial phases. which command our The Moon dips into Earth’s attention. The first dark umbral shadow at 1 Mercury is at great- comes New Year’s 6:48 a.m. EST (3:48 a.m. PST), est western elonga- night and arrives less than five but the Moon sets before total- tion (23°), 3 P.M.
    [Show full text]
  • ASTR 1010 Homework Solutions
    ASTR 1010 Homework Solutions Chapter 1 24. Set up a proportion, but be sure that you express all the distances in the same units (e.g., centimeters). The diameter of the Sun is to the size of a basketball as the distance to Proxima Centauri (4.2 LY) is to the unknown distance (X), so (1.4 × 1011 cm) / (30 cm) = (4.2 LY)(9.46 × 1017 cm/LY) / (X) Rearranging terms, we get X = (4.2 LY)(9.46 × 1017 cm/LY)(30 cm) / (1.4 × 1011 cm) = 8.51 × 108 cm = 8.51 × 103 km = 8510 km In other words, if the Sun were the size of a 30-cm diameter ball, the nearest star would be 8510 km away, which is roughly the distance from Los Angeles to Tokyo. 27. The Sun’s hydrogen mass is (3/4) × (1.99 × 1030 kg) = 1.49 × 1030 kg. Now divide the Sun’s hydrogen mass by the mass of one hydrogen atom to get the number of hydrogen atoms contained in the Sun: (1.49 × 1030 kg) / (1.67 × 10-27 kg/atom) = 8.92 × 1056 atoms. 8 11 29. The distance from the Sun to the Earth is 1 AU = 1.496 × 10 km = 1.496 × 10 m. The light-travel time is the distance, 1 AU, divided by the speed of light, i.e., 11 8 3 time = distance/speed = (1.496 × 10 m) / (3.00 × 10 m/s) = 0.499 × 10 s = 499 s = 8.3 minutes. 34. Since you are given diameter (D = 2.6 cm) and angle, and asked to find distance, you need to rewrite the small-angle formula as d = (206,265)(D) / (α).
    [Show full text]
  • A Astronomical Terminology
    A Astronomical Terminology A:1 Introduction When we discover a new type of astronomical entity on an optical image of the sky or in a radio-astronomical record, we refer to it as a new object. It need not be a star. It might be a galaxy, a planet, or perhaps a cloud of interstellar matter. The word “object” is convenient because it allows us to discuss the entity before its true character is established. Astronomy seeks to provide an accurate description of all natural objects beyond the Earth’s atmosphere. From time to time the brightness of an object may change, or its color might become altered, or else it might go through some other kind of transition. We then talk about the occurrence of an event. Astrophysics attempts to explain the sequence of events that mark the evolution of astronomical objects. A great variety of different objects populate the Universe. Three of these concern us most immediately in everyday life: the Sun that lights our atmosphere during the day and establishes the moderate temperatures needed for the existence of life, the Earth that forms our habitat, and the Moon that occasionally lights the night sky. Fainter, but far more numerous, are the stars that we can only see after the Sun has set. The objects nearest to us in space comprise the Solar System. They form a grav- itationally bound group orbiting a common center of mass. The Sun is the one star that we can study in great detail and at close range. Ultimately it may reveal pre- cisely what nuclear processes take place in its center and just how a star derives its energy.
    [Show full text]
  • 2020年行星觀測資料 Planetary Phenomena for 2020
    2021 Planetary Phenomena for 2021 Inferior Planet Greatest Eastern Elongation Greatest Western Elongation Mercury 1 24 24 January 3 6 6 March 5 17 17 May 7 5 5 July 9 14 14 September 10 25 25 October Venus 10 30 30 October -- -- Superior Planet Conjunction Opposition Mars 10 8 8 October -- -- Jupiter 1 29 29 January 8 20 20 August Saturn 1 24 24 January 8 2 2 August Uranus 5 1 1 May 11 5 5 November Neptune 3 11 11 March 9 14 14 September Sun 1 Greatest Transit Greatest Eastern Western 2 Elongation Elongation Inferior Planet Earth Explanatory Notes on Observing the Planets 1 Figure 1 Mercury and Venus are inferior planets in the Solar System as they are closer to the Sun than the Earth. Mars, Jupiter, Saturn, Uranus and Neptune are superior planets in the Solar System as they are further away from the Sun than the Earth. From the Earth’s perspective, the angular distance between the Sun and a planet is the elongation. When an inferior planet follows the Sun and appears east of the Sun in the evening, it is in eastern elongation. When an inferior planet precedes the Sun and appears west of the Sun in the morning, it is in western elongation. The best times to observe Opposition Conjunction the inferior planets are at their greatest eastern and western Sun elongations. A transit of an inferior planet occurs when the inferior Earth planet, the Earth and the Sun align in a straight line with the inferior planet in between (Figure 1).
    [Show full text]
  • PHY 150 - Astronomy Homework Assignment #2 September 25, 2007
    PHY 150 - Astronomy Homework Assignment #2 September 25, 2007 1) What is meant by the frequency of light? How is frequency related to wavelength? Light is a traveling transverse wave in which the electric field can be written as æ x ö E(x, t) = E sinç 2 p - 2 pft÷ . Frequency f is the number of wave crests that pass a fixed location x o è l ø per second. Wavelength l is the distance between crests at a fixed instant. 2) At what configuration (for example, superior conjunction, greatest eastern elongation, etc.) would it be best to observe Mercury or Venus with an Earth-based telescope. At what configuration would it be best to observe Mars, Jupiter, or Saturn? Explain your answers. The inferior planets, Mercury and Venus, are inside the orbit of the Earth, therefore, they never appear beyond some maximum angular separation from the sun. Most of the time they are obscured by the sun itself; thus, to best observe them they should be at their greatest eastern or western elongation just after the sun sets or before the sun rises. At these points they will only appear to be partially lit, but at least they will be in the night sky. The superior planets, Mars, Jupiter, and Saturn, are outside the orbit of the Earth; therefore, they can appear fully illuminated at their opposition to the sun. Best observation would be in the middle of the night. 3) What is your weight in pounds and in Newtons? What is your mass in kilograms? 1 N If W is your weight in pounds, then your weight in Newtons is given by W(lb) x .
    [Show full text]
  • The Distance of Venus from the Sun
    The Distance of Venus from the Sun by Jane Schmane and Robert Schmobert 15-May-2015 Abstract We determined the distance from the Sun to Venus by measuring the angle between the Sun and Venus when Venus was at maximum elongation. By lining up the shadow of a washer on a pin with another washer on a pin, and sighting Venus through a camera mounted onto a protractor, we measured the angle between Venus and the Sun for a period of 8 days in early May 2015. According to our data the moment of maximum elongation occurred at 6:20am on May 9, 2015 and Venus’ distance from the Sun is about 1.1x107 m. This value is much smaller than the expected value of 1.08x108 m. We believe that this discrepancy is due to a large error in the value of the distance from the Sun to the Earth that we used in our calculation. We affirm that we have carried out our academic endeavors with full academic honesty. Introduction Venus is one of just two planets in the Solar System that orbit interior to the Earth’s orbit. The distance of Venus from the Sun, as first demonstrated by Copernicus (pp xxx, textbook name), can be determined by measuring the angle between Venus and the Sun and using simple trigonometry. In particular, when Venus is at the largest angle that it gets from the Sun, a position called “maximum elongation,” then the orientation is like that depicted in Figure 1. Figure 1: The relative orientations of the Earth, Venus, and the Sun when Venus is at its maximum angular separation, represented by , from the Sun, as viewed from the Earth.
    [Show full text]