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Homework #4: Homework #4 Due on Thursday August 4 after class (2005)
Chapter 11, p 300, Discussion 14 What is the cause of Io's volcanic activity?
Chapter 11, p 300, Discussion 19 What might be the consequences of the discovery of life on Europa?
Chapter 11, p 300, Problem 9 Illustrate the 1:2:4 "resonance" mentionned in the text by drawing a diagram showing the locations of Io, Europa, and Ganymede at various times over the course of one Ganymede orbit. Show the moons' locations at intervals of 1/4 Io's orbital period.
Additional question: Calculate Jupiter' Mass using the revised Kepler's Third Law and the Period and orbit of Io. Why a moon such Io, which appears to be similar in size to the Moon and has a similar size orbit, should have a faster orbital period?
Chapter 12, p 326, Discussion 11 What evidence supports the idea that a relatively recent catastrophic event was responsible for Saturn's ring?
Chapter 12, p 326, Discussion 20 Imagine what the sky would look like from Saturn's moon Hyperion. Would the Sun rise and set in the same way it does on Earth? How do you imagine Saturn might look?
+ HW#4 Supplement
Uranus & NeptuneThe Outer World of the Solar System: Uranus & Neptune The Outer World of the Solar System
Uranus: Uranus Ouranos in Greek
Personification of heaven and the sky
Gaea (personification of Earth) is his mother and wife
Was overthrew by his son Saturn (Cronos)
A complex family….
Uranus: Uranus Semimajor axis = 19.2 AU, Period = 84.1 years
Mass = 8.68 ´ 1025 kg = 14 Earths
Diameter = 51,200 km
Density = 1.2 g/cm3
Escape velocity = 21 km/s
Rotation period = 17.2 hours
Axial tilt = 98o
Discovered by William Herschel in 1781
Had been plotted as a star on several star charts
Visited by Voyager 2 (1986)
Discovery: Discovery Sir William Herschel, German astronomer, who lived in England in 1781
His goal was to built a catalogue of faint stars using a 6-inch telescope
Discover a planet that he called Sidus Georgium and two satellites
A co-discovery?: A co-discovery? William’s sister (Caroline Herschel) involved in the project
Participate to the observations, construction
of telescopes
Catalogued the discoveries for the new
generation of astronomers
The planet will be finally named Uranus
Observing Uranus: Observing Uranus Maximum angular diameter 4.1”
Magnitude in visible ~5.7 (limit of naked eye visibility)
With a telescope
Appeared as a tiny pale greenish disk
Surrounding by several satellites (Ariel, Umbriel, Titania, Oberon, Miranda) (see Xephem)
Voyager 1 mission (1986)
absence of atmospheric surface details
Uranus’ structure : Uranus’ structure Very few noticeable zones and belts
Clouds of methane and hydrogen sulfide are likely to form
Flow pattern in the same sense than rotation (wind speed 200-500 km/s) , faster in the North pole, T quite uniform
No metallic hydrogen near core, just ice and rock
Magnetic field still there
Off-axis and offset from center
Probably due to polarized water
Axial tilt of 98o and time of Voyager 2 visit may be reason for lack of atmospheric bands
No measurable internal heat
Slide11: 1986 2070 2007 Autumn equinox 2028 Spring Equinox 2049 Northern Summer Solstice
Magnetic Field Generation: Magnetic Field Generation Earth/Mercury – spinning liquid iron near core
Mars – fossil magnetic field induced in rocks
J/S – rapidly spinning liquid metallic hydrogen
U/N – spinning, polarized water (not so) near core
Slide15: Uranus True Color False Color
Slide16: HST IR Image
of Uranus
(false color) Sunlight reflecting by haze Deep atmosphere Inner satellites Rings Very high clouds
Slide17: Keck AO Infrared images of Uranus Cloud velocity
wind speed = 200-500 km/h
Clouds rotate in the same sense than planet
Faster at the North pole
-> Temperature nearly uniform on the whole planet Clouds Images taken in Aug. 2004
Neptune: Neptune Poseidon in the Greek Mythology
Son of Saturn
God of the sea and of earthquakes
Brother of Jupiter (Zeus) and Pluto (Hades)
Neptune: Neptune Semimajor axis = 30.1 AU, Period = 164.8 years
Mass = 1.02 ´ 1026 kg = 17 Earths
Diameter = 49,500 km
Density = 1.6 g/cm3
Escape velocity = 24 km/s
Rotation period = 16.1 hours
Axial tilt = 29o
Discovered by using Newton’s Laws and examining perturbations in Uranus’ orbit by Leverrier and Adams (independently) in 1846
Visited by Voyager 2 (1989)
Radiates 2.7 times more heat than it receives from the Sun (cause is uncertain. CH4 thermal inertia?)
A controversial discovery: A controversial discovery John Couch Adams, Cambridge mathematician, predicted the existence of an unseen planet. Uranus was being pulled slightly out of position in its orbit (1845).
His work has been ignored by the Royal observatory Greenwich
Until a French mathematician, Urbain Leverrier, published a similar prediction.
Search started in July 1846 lead by Prof. Challis at Cambridge university
Leverrier with the help of Johann Galle at Berlin Observatory found the planet on the 23rd September 1846
Leverrier and Adams are now jointly credited with their “discovery”
Observing Neptune: Observing Neptune P= 163 yr, the planet did not complete a revolution since its discovery
Cannot be seen with naked eye. magnitude =7.8
With a small telescope: 2.4” diameter blue disk and satellites (largest moon Triton, and Nereid)
Cloud Structures are visible triton nereid
Neptune’s structure : Neptune’s structure Similar composition than Jupiter: 84% H and 14% He, CH4 (3%) (blue color).
No NH3 b/c Tcondensation = 70 K and Touttermostplanets ~58 K
Far more atmospheric activity than Uranus b/c of Interior heat (3 times more energy) + less haze
Modest axial tilt may allow for more atmospheric mixing
Storm activity seen and seems to change
Slide23: Great Dark Spot
Slide24: Cloud features:
Methane ice crystal
Lie 50km above the main
Cloud top (cirrus)
Wind speeds > 1500 km/h
Slide25: Keck AO Infrared image
No more Great Dark Spot
Dynamic weather patterns
Wind speed up to
1500 km/h
(half the speed of sound)
Where come from the energy driving such activity?
(initial heat insulated by methane, other?)
Interior structure: Interior structure Uranus and Neptune, just ice and rock in core (same size than Earth
Not enough pressure to force hydrogen into metallic hydrogen
Off-axis and offset magnetic field probably due to polarized water or ammonia dissolved in water in outer core
Magnetic fields: Magnetic fields
Moon Systems of Uranus: Moon Systems of Uranus See Table book
Newly discoverer (ten smaller moons discovered by Voyager)
Small moons in retrograde orbits (debris captured) discovered recently
5 largest moons (~ 6 midsized moons of Saturn)
Same density
Same size
No large “Galilean Moons”
Surface darker than Saturn moons due to “space weathering” or “radiation darkening” (construction of an organic layer due to impact of energetic particles or effect of radiation)
Slide32: +2 new moons discovered since 1997
Slide33: Neptune
Moon
Moon Systems of Neptune: Moon Systems of Neptune See Table book
1 midsized moon (Proteus) D=440 km
1 large moon (Triton) D=2710 km
Moons have no “regular” moon system
high inclination (Triton)
And/Or retrograde orbit (Triton)
And/Or High eccentricity (Nereid)
Triton:
6th largest moon of the Solar System
Tsurface =37 K -> surface of Water ice and Nitrogen frost
Young surface (lack of craters) due to surface activity (+ fissures and geysers) -> thin atmosphere of N2
Slide35: +5 new moons discovered since 2002
Triton: Tsurface=37 K
Tenuous N2 atm.
Lakelike feature
N2 Geysers seen!
-> An icy volcanic activity Ridges
N2 frost (pinkish)
Triton
Summary:Moons of Jovian Planets: Summary:Moons of Jovian Planets Fig 11.15
Scattering Basics: Scattering Basics Relatively large wavelength photons hitting relatively small objects
Forward scattering
Relatively small wavelength photons hitting relatively large objects
Backscattering
Also have certain objects which scatter in all directions well (isotropically)
Large object with irregular surface
The Rings seen in occultation: The Rings seen in occultation As Voyager passed by Saturn it view a star which went behind the rings
How much light the got through the rings to Voyager depended on the thickness
The less of the light received the greater the optical depth of the rings
General properties and resonance feature are clearly seen
Rings of Uranus: Rings of Uranus Discovered in 1977 from the ground by star occultation
Confirmed by Voyager in 1979
Orbit in the equatorial plane of the planet
Main ones are called Alpha, Beta, Gamma, Delta and Epsilon (44,000 - 51,000 km from the planet’s center in the Roche limit)
Dark (space weathering), narrow (less than 10km) and widely spaced (100-1000km)
Thin (less than 30m)
Epsilon ring is similar to F ring of Saturn. Shepherd by 1986U8 (Cordelia) and 1986U7 (Ophelia)
Epsilon ring: Epsilon ring
Rings of Uranus observed with Keck AO: Rings of Uranus observed with Keck AO
Ring of Neptune: Ring of Neptune 5 main dark rings
Color due to radiation darkening
Seen now from Earth with Keck AO system
Structure in arcs not well understood
Summary: Rings of Jovian Planets: Summary: Rings of Jovian Planets
Summary: Rings of Jovian Planets: Summary: Rings of Jovian Planets
Why are the rings there?: Why are the rings there? Jupiter: dust supplied by inner 4 moons
Saturn: tides ripped up large comet which came to close to the planet
Rings remain shiny because constant collisions with other ring particles
Uranus & Neptune : Perhaps supplied by nearby satellites.
Rings are formed inside the Roche Limit where large moons would be torn apart by tidal forces
In 100 million years Triton will enter in Roche limit of Neptune -> new bright rings