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Today’s Topics • The Earth and celestial bodies in space. • Description of the principles of relative motion and perspectives. • The grouping of planets due to some common characteristics Aim: What are the characteristics of the terrestrial and Jovian planets? •Arrange the following words in order of size; Sun, galaxy, universe, solar system, and Earth. Universe Galaxy Solar system Sun •Which of these represent single objects? The Sun, Earth • Which term contained all of the others? Universe Earth The Terrestrial Planets • Small, dense and rocky Mercury Mars Venus Earth The inner planets • Mercury, Venus, Earth, and Mars • Nearest to the Sun • Rocky crusts, dense mantle layers, and very dense cores. • All Earth-like characteristics • Also known as terrestrial planets (Earth-Like) Observing the Planets Saturn Jupiter Uranus Neptune The outer planets • • • • • Jupiter, Saturn, Uranus, Neptune, and Pluto First four are called Jovian Planets (Jupiter-like) Massive in nature They are gaseous Outer layers mostly hydrogen gas, and compressed to a hot liquid • Closer to the planet’s center The Solar System: Top View Characteristics of Planets •all planets orbit in same direction (ccw as seen from above the north pole) •all orbits lie nearly in a single plane (Mercury (7deg) and Pluto (17deg) being most notable exceptions) •inner planets are small, dense, rocky (Terrestrial); outer planets are large, gaseous, low density (Jovian) •density = mass/volume •inner planets close together, outer planets further apart Side view: Inclination of Orbits • Orbits (here: Mars) are very slightly tilted with respect to the sun-earth plane Planets appear close to the path of the sun in the sky, the ecliptic Planetary Motions • The sky seems to revolve around us because of Earth’s rotation • Additionally, planets move with respect to the fixed stars, that’s why they are called planets (greek: wanderers) • Due to the planet’s movement in their orbit, and Earth’s orbital motion, this additional motion – the apparent motion of the planet as seen from Earth - looks complicated. Apparent Planetary Motion • Motion as seen from Earth, which itself is revolving around the Sun. Explanation 1: Ptolemy (~140 AD) • Planets move on circles sitting on circles around Earth geocentric model • dominates scientific thought during the Middle Ages • Longest lasting (wrong) theory ever: 1000yrs Epicycles • Ptolemy’s explanation of retrograde motion • About 40(!) epicycles necessary to explain all observations complicated theory Explanation 2: Copernicus (1473–1543) • All planets – including Earth – move around the Sun • Planets still on circles needs 48 epicycles to explain different speeds of planets • Not more accurate than Ptolemy Major Work : De Revolutionibus Orbium Celestium (published posthumously) Correct Explanation: Kepler, Newton • All planets move around the sun according to Newton’s theory of gravity • Kepler’s laws tell us how the orbits look like, and where a planet is in its orbit Kepler’s First Law The orbits of the planets are ellipses, with the Sun at one focus Ellipses a = “semimajor axis”; e = “eccentricity” Kepler’s Second Law An imaginary line connecting the Sun to any planet sweeps out equal areas of the ellipse in equal times Kepler’s Third Law The square of a planet’s orbital period is proportional to the cube of its orbital semi-major axis: P 2 a3 a P Planet Orbital Semi-Major Axis Orbital Period Mercury 0.387 0.241 Venus 0.723 0.615 Earth 1.000 1.000 Mars 1.524 1.881 Jupiter 5.203 11.86 Saturn 9.539 29.46 Uranus 19.19 84.01 Neptune 30.06 164.8 Pluto 39.53 248.6 (A.U.) (Earth years) Eccentricity 0.206 0.007 0.017 0.093 0.048 0.056 0.046 0.010 0.248 P2/a3 1.002 1.001 1.000 1.000 0.999 1.000 0.999 1.000 1.001 The heliocentric explanation of retrograde planetary motion Inner and Outer Planets • Inner Planets: closer to sun than Earth – Mercury & Venus – Always close to sun in the sky • Outer Planets: further from sun than Earth – Mars, Jupiter, Saturn, Uranus, Neptune, Pluto – Best viewing when opposite of sun in the sky Inner Planets superior conjunction Inner planet eastern elongation western elongation inferior conjunction Earth Outer Planets quadrature conjunction Earth quadrature Outer planet opposition Close Outer Planet Size of planet varies a lot as Earth moves Earth Outer planet Far-Out Planet Earth Size of planet varies little as Earth moves Outer planet Mercury • • • • Color: yellow-golden Brightness: up to –1m Size: 10” When to observe: several times a year for short periods • Difficulty: pretty tough, innermost planet, always very close to the sun Venus • • • • Color: white Brightness: up to –4.5m Size: up to 40” When to observe: all year, except for period around superior conjunction; either west of the sun (morning star), or east of the sun (evening star) • Difficulty: very easy Phases of Venus Phases of Venus Heliocentric Geocentric Mars • • • • • Color: orange Brightness: up to –2.2 m Size: up to 25” When to observe: about every 2 years Difficulty: very easy around opposition Mars Opposition 2005 • • • • Date of opposition: November 7, 2005 Constellation: Aries Date of closest distance: October 30, 2005 Closest distance to Earth: 69.42 million km (43 million miles, or 0.46406 AU) • In 2003 (historically close): 55.8 million km Mars • Fairly bright, generally not too hard to see • Smaller than Earth • Density similar to that of the moon • Surface temperature 150–250 K • Day ~ 24.6 hours • Year ~ 2 Earth years Apparent Mars Diameter The Terrestrial Planets Comparable tilt of rotation axis Martian Seasons Polar Ice Caps • Watch them grow and shrink in the telescope Mars Atlas Mars observations • Look for surface features • Try to determine which side of Mars we see • Polar caps • Seasonal changes • phases Dust Storms Jupiter • • • • Color: yellowish-white Brightness: up to –2.5m Size: 40” When to observe: most of the year, except for some months around conjunction • Difficulty: easy, moons visible in binoculars Jupiter & Moons Saturn • • • • Color: yellowish Brightness: up to –1.5m Size: 20” When to observe: most of the year, except for some months around conjunction • Difficulty: easy, rings and moons visible in small telescopes Saturn & Moons Uranus • • • • Color: greenish Brightness: around 5.7m Size: 4” When to observe: most of the year, except for some months around conjunction • Difficulty: challenging, with binoculars Neptune • • • • Color: greenish Brightness: around 7.8m Size: 2.5” When to observe: most of the year, except for some months around conjunction • Difficulty: challenging, good binoculars Pluto • • • • Color: white Brightness: 14m Size: star-like, no disk When to observe: most of the year, except for some months around conjunction • Difficulty: very tough, outermost planet, always very far away, very faint; big telescope and several nights to identify The Night Sky in October • The sun is past autumn equinox -> longer nights! • Autumn constellations are coming up: Cassiopeia, Pegasus, Perseus, Andromeda, Pisces lots of open star clusters! • Mars is getting close to opposition • Saturn is visible later at night Moon Phases • Today (New Moon, 0%) • 10 / 10 (First Quarter Moon) • 10 / 17 (Full Moon) • 10 / 24 (Last Quarter Moon) • 11/ 1 (New Moon) Today at Noon Sun at meridian, i.e. exactly south 10 PM Typical observing hour, early October no Moon Mars Uranus at meridian Neptune SouthWest High in the sky: The summer triangle Due North Big Dipper points to the north pole High up – the Autumn Constellations • W of Cassiopeia • Big Square of Pegasus • Andromeda Galaxy Andromeda Galaxy • “PR” Foto • Actual look East High in the sky: Perseus and Auriga with Plejades and the Double Cluster South • Planets – Uranus – Neptune • Zodiac: – Capricorn – Aquarius