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Page 1: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

10/21/2011

1

The Jovian Planets and Their Moons

Jupiter

Page 2: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Physical Properties of Earth and Jupiter

Jupiter Earth

E t i l R di 11 2 R 6378 kEquatorial Radius 11.2 REarth 6378 km

Mass 318 MEarth 5.976×1024 kg

Average Density 1.34 g/cm3 5.497 g/cm3

Surface Gravity 2.54 Earth gravities(at the base of the clouds)

9.8 m/s2

(at the base of the clouds)Escape Velocity 61 km/s 11.2 km/s

Surface Temperature -120 oC at the cloud tops -50oC to 50oC

Average Albedo 0.51 0.39 (mostly from clouds)

The length of a Jovian day is about 10 hours.

Falling

Rising

Belts – sinking, low pressure regions.Zones – rising, high pressure regions.

Why are belts dark and zones white?

Page 3: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Jupiter’s Atmosphere

200

Clear hydrogen

-100 K Thickness of atmosphere is about 1000 km.

100

0

100

Alti

tude

(km

)

AmmoniaAmmonia

Ammonia Hydrosulfide

Water

150 K

200 K

270 K

No sharp boundary between gaseous atmosphere and liquid interior. Atmosphere gradually thickens and becomes liquid with transformation complete at a depth of about 1000 km.

-200

-100

-300

Water 270 K

600 K

Cloud colors due to ammonia hydrosulfide and photochemical reactions involving sulfur and phosphorus.

Motion of Zones and BeltsWind speeds ~ hundreds of km per hour.

Why such high wind speeds?

Why is the circulation in parallel bands?

Why does Jupiter emit

Page 4: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Jupiter’s Great Red Spot – a cyclonic storm that has continued for more than 300 years.

Jovian Thunderstorms

Lightning flashes are as much as a thousand times as powerful as those on Earth.

What causes thunderstorms?

Page 5: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Jupiter’s Aurora Oval

What causes aurorae?

Jupiter’s Magnetic Field

Jovian magnetic field is more than 10 times stronger than Earth’s magnetic field. Why?

Page 6: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Internal Structure of Jupiter

Molecular Hydrogen

“Rocky” Core

Liquid Metallic Hydrogen

Jupiter’s Ring System

Jupiter’s rings are made of dark dust with a rocky composition. How do we know this?

Rings are not permanent butRings are not permanent but are replenished by dust knocked off satellites by micrometeorite impacts.

Page 7: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Galilean Satellite Interior Models

Io Europa

GanymedeCallisto

r = 1820 kmρ = 3.55 g/cm3

r = 1565 kmρ = 3 g/cm3

2420 kr = 2640 kmρ = 1.9 g/cm3

r = 2420 kmρ = 1.79 g/cm3

Jupiter has more than 60 moons.Mercury: r = 2439 kmMoon: r = 1738 km

Io in Jupiter’s Shadow

Pillan Patera

Temperature pbetween 2600 and 3140oF.

Hottest terrestrial volcanoes have maximum temperatures of about 2240oF.

Page 8: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Pele, Pillan Patera, and a New Volcano

Io is the geologically most active object in the solar system.

Pele

Pilan Patera A new eruption

Volcanic Plumes as high as 500 km.Eruptions powered by sulfur dioxide.

Source of Io’s Heat

• Heat of Formation? – No. Because of its small size, it cooled rapidly after it formed.

• Radioactive Decay? – No. A small object would have very little naturally radioactive material. The small amount of heat generated would be quickly lost.

• Tidal Heating. Yes. The continual flexing of a moon’s crust due to tidal interactions with the planet and/or other moons would effectively heat the moon, especially if its orbit is elliptical.

• PGanymed e = 2 PEuropa = 4 PIo.• Tides on Io as high as 100 m.`

Page 9: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Io Flux Tube

Base of Io Flux Tube

Europa’s Surface

What does the smoothness of Europa’s crust tell us about its interior?

Page 10: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Model of Europa’s Interior

Metallic CoreRelatively clean, icy crust

Liquid WaterRock

The Galileo probe measurements of the magnetic field induced in Europa by Jupiter’s rapidly rotating magnetic field demonstrate that under a brittle crust, there is a shell of salty water.

Ganymede

Page 11: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Model of Ganymede’s Interior

Metallic Core

Icy Mantle

Icy Crust

Callisto

Page 12: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Model of Callisto’s Interior

Crust – a Thin shell of mixture of ice and rock

liquid water

Mixture of ice and rockand rock

Saturn and its Moons

Page 13: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Physical Properties of Jupiter and Saturn

Saturn Jupiter

E t i l R di 10 2 R 11 2 REquatorial Radius 10.2 REarth 11.2 REarth

Mass 95.2 MEarth 318 MEarth

Average Density 0.69 g/cm3 1.34 g/cm3

Gravity at the base of clouds

1.16 Earth gravities 2.54 Earth gravitiescloudsEscape Velocity 35.6 km/s 61 km/s

Surface Temperature -180oC at the cloud tops -120 oC at the cloud tops

Average Albedo 0.61 0.51

Saturn Compared with Jupiter

Cassini Division

Page 14: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Jupiter SaturnJupiter

Comparison of the Atmospheres of Jupiter and Saturn

200 -200 K200

Clear hydrogen

-100 K

100

0

100

Alti

tude

(km

)

Clear Hydrogen

Methane Haze

100

0

100

Alti

tude

(km

)

AmmoniaAmmonia

Ammonia Hydrosulfide

Water

150 K

200 K

270 K

-200

-100

-300

Ammonia

Ammonia Hydrosulfide

Water

150 K

200 K

270 K

-200

-100

-300

Water 270 K

600 K

Oblateness

a ba−

ε =a

b

Rotation Axis

Planet OblatenessMercury 0

Venus 0

Earth 0 0034Earth 0.0034

Mars 0.009

Jupiter 0.0637

Saturn 0.102Note: In order for an object to move in a circle, it must experience a force toward the center of the circle. This force is called the “centripetal force”.

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What determines the internal temperature of a planet?

Primordial Internal Heator

Heat from Radioactive Decay

Sunlight

The planet’s albedo.

For Saturn, helium “rain” also heats up the interior. As the liquid helium droplets fall through the less dense liquid hydrogen, gravitational potential energy is converted into thermal energy.

Comparison of Internal Structures of Saturn and Jupiter

Page 16: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Saturn and its Moons

Satellite Distance from Saturn (km)

Radius(km)

Mass(kg)

Mi 186 000 398 3 7 1019Mimas 186,000 398 3.7×1019

Enceladus 238,000 498 7.3×1019

Tethys 295,000 1060 6.2×1020

Dione 377,000 1120 1.0×1021

Titan 1,220,000 2575 1.3×1023

Iapetus 3,560,000 1440 1.6×1021

Titan’s Atmosphere

95% Nitrogen + CH4 + C2H6 + …

Page 17: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Artist’s View of Huygens Descent to Titan’s Surface

Chunks of Ice on Titan’s Surface

Page 18: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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River Channels on Titan

Tethys

3 km deep crack

1060R km=

Page 19: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Mimas

R = 196 km

Enceladus

Albedo = 0.9

R = 250 km

Page 20: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Iapetus

R = 720 km

Dione

R = 560 km

Page 21: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Problem 1: Calculate the period of revolution of Mimas around Saturn.

2 2 3GMP 4 a= π2 34 aP

GMπ

= M = 5.68×1026 kg a = 186,000 km

G = 6.67×10-11 Nm2/kg2G 6.67 10 Nm /kg

( )( )( )

2 5 3

211 26

2

4 1.86 10 10 mP

Nm6.67 10 5.68 10kg

π × ×=

⎛ ⎞× ×⎜ ⎟

⎝ ⎠

4P 8.2 10 s 0.95day= × =

Problem 2: Calculate Mimas’ average density.

MdensityV

= M = 3.7×1019kg 34V R3

= π ( )354 3.98 10 m3

= π ×

V =1.67×106 m319

16 3

3.7 10 kgdensity3.3 10 m

×=

×31100kg / m=

R = 398 km

False Color Image of Saturn’s Rings

C

CassiniDivision B

C

A

The radius of the inner edge of the Cassini division is 117,500 km. Particles at this distance have an orbital period of 0.476 day. How does this account for the existence of the Cassini division? What is the orbital period of Mimas?

Page 22: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Shepherding Satellites

Saturn’s F ring

Shepherding Satellites

Coorbital Satellites(Janus and Epimetheus)

Dimensions of Janus: 110 km 80 km 100 kmDimensions of Epimetheus: 110 km 80 km 100 kmDimensions of Epimetheus: 110 km 80 km 100 km

Radius of Janus’ Orbit : 151,470 km

Radius of Epimetheus’ Orbit: 151,420 km

BF

A

A

FA on B

FB on A

A takes energy from B, and B gives energy to A.

B

B will eventually catch up to A, and the two moons will again exchange orbits.

Page 23: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Uranus and Neptune

Physical Properties of Uranus and Neptune

Uranus Neptune

E t i l R di 3 98 R 3 81 REquatorial Radius 3.98 REarth 3.81 REarth

Mass 14.5 MEarth 17.1 MEarth

Average Density 1.29 g/cm3 1.66 g/cm3

Gravity at the base of clouds

0.919 Earth gravities 1.19 Earth gravitiescloudsEscape Velocity 22 km/s 25 km/s

Surface Temperature -220oC -216 oC at the cloud tops

Average Albedo 0.35 0.35

Page 24: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Why is it blue?

Visual Image of Uranus Visual Image of UranusEnhanced to Show Bands

Internal Structure

hydrogen + helium

rocky slush

heavyelements

Diamonds in core?Source of excess thermal energy?

Page 25: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Oberon

R = 775 kmLarge faultFlooded crater floors

Page 26: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Titania

R = 805 km

No large craters

Umbriel

R = 585 km

Dark (albedo = 0.16)Heavily craterdAbsence of faults

Page 27: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Ariel

R = 580 km

Lots of faultsBrightest surfaceSmoothed by floodingOrbital resonance withMiranda and Umbriel

Miranda

R = 242 km

Faults, ice-lava flowsRotated blocks of ice

Page 28: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Uranus’ Rings

Thin layer of dark boulders.

Neptune

Page 29: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Triton

Nitrogen frost.

Nearly circular orbit, but retrograde.Almost no craters.

Geysers and dark smudges.

Icy greenhouse effect.Tidal forces when captured (?) by Neptune?

Radius = 1360 km

Neptune’s Rings

Page 30: The Jovian Planets and Their Moons - Ursinus Collegewebpages.ursinus.edu/dnagy/physics102q/lectures/Jovian...Saturn and its Moons Satellite Distance from Saturn (km) Radius (km) Mass

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Nereid

Large, elongated orbit. Radius = 170 km

Twisted Ring in the Neptune Ring System