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    Borderlands of Science

    Page 20
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      The relevance of all this to planets suitable for life is defined by celestial mechanics. When we have a star like our Sun, planetary orbits around it tend to be stable over long periods of time. The Earth has varied little in its distance from Sol, and hence in the amount of solar heating, during its whole lifetime. The mathematical description of the motion of the Earth around the Sun is provided by the "two-body problem," solved by Isaac Newton in the late seventeenth century. Perturbation effects of other planets, particularly Jupiter, were included by later workers such as Laplace, and confirmed the stability of the Earth's orbit.

      When two or more stars are in one stellar system, however, the relevant mathematical problem for the motion of a planet is termed the "N-body problem." The formal exact solution has never been found, but approximate solutions can be obtained in any particular case, using computers. When this is done, the fate of a planet in an N-body system of multiple stars is found to be very different from the stable orbits of our own solar system. Orbits are far more chaotic. Close encounters of a planet with one or other of the primary stars will take place, distances vary wildly over time, and in extreme cases a combination of gravitational forces can eject the planet totally from the stellar system.

      Even if the planet does not suffer such a fate, it moves through various extreme situations, now close to a star and baking in radiation, now far away in the freezing dark. This is, so far as we know, not a promising environment for the development of life.

      There are two ways for a storyteller to avoid these problems. One is to be so blissfully ignorant of basic astronomy and astrophysics that you see no problem putting life and intelligence any place that you choose, and you hope for equal ignorance on the part of the reader. If you have come this far with me, you will know that I do not approve of such an approach.

      The other way is to choose a star without companions, of a stellar type close to our own Sun. Suitable candidates that are also our stellar neighbors include Epsilon Eridani, at 11 light-years, and Tau Ceti, at 12 light-years. No one knows if either star has planets, though Epsilon Eridani has a ring of dust particles which is considered a promising sign. You are free to give either of these stars a world with the size and chemistry of Earth, and explain to the reader that this is the case.

      You will then not have the chore of building a plausible world, and you will be safe from criticism. But as Hal Clement, justly famous for designing and explaining exotic worlds, says, "Where's the fun in that?"

      TABLE 7.1. The Moons of Jupiter.

      Physical properties

      Name

      Mass

      Radius

      Density

      Albedo

      (1020 kg)

      (kms)

      Galilean Satellites

      Io

      893

      1,821

      3.530

      0.61

      Europa

      480

      1,565

      2.990

      0.64

      Ganymede

      1,482

      2,634

      1.940

      0.42

      Callisto

      1,076

      2,403

      1.851

      0.20

      Lesser Satellites

      Metis

      20610

      0.05

      Adrastea

      10610

      0.05

      Amalthea

      131x73x67

      0.05

      Thebe

      50610

      0.05

      Leda

      5

      Himalia

      85610

      Lysithea

      12

      Elara

      40610

      Ananke

      10

      Carme

      15

      Pasiphae

      18

      Sinope

      14

      Orbital parameters

      Name

      Semimajor axis

      Period*

      Inclination

      Eccentricity

      (1000's kms)

      (days)

      (degrees)

      Galilean satellites

      Io

      422

      1.769

      0.040

      0.041

      Europa

      671

      3.552

      0.470

      0.0101

      Ganymede

      1,070

      7.155

      0.195

      0.0015

      Callisto

      1,883

      16.689

      0.281

      0.007

      Lesser Satellites

      Metis

      128

      0.297

      0

      0.041

      Adrastea

      129

      0.298

      0

      0

      Amalthea

      181

      0.498

      0.40

      0.003

      Thebe

      222

      0.675

      0.8

      0.0015

      Leda

      11,094

      238.72

      27

      0.163

      Himalia

      11,480

      250.56

      28

      0.163

      Lysithea

      11,720

      259.22

      29

      0.107

      Elara

      11,737

      259.65

      28

      0.207

      Ananke

      21,200

      631R

      147

      0.169

      Carme

      22,600

      692R

      163

      0.207

      Pasiphae

      23,500

      735R

      148

      0.378

      Sinope

      23,700

      758R

      153

      0.275

      * The symbol R after the period indicates that the moon is in retrograde motion;

      i.e., it orbits in the opposite direction to Jupiter's rotation on its axis.

      TABLE 7.2 The Moons of Saturn

      Physical properties

      Name

      Mass

      Radius

      Density

      Albedo

      (1020 kg)

      (km)

      Mimas

      0.38

      198.8

      1.140

      0.5

      Enceladus

      0.73

      249.1

      1.120

      1.0

      Tethys

      6.22

      529.9

      1.000

      0.9

      Dione

      10.52

      560

      1.440

      0.7

      Rhea

      23.10

      764

      1.240

      0.7

      Titan

      1,345.50

      2,575

      1.881

      0.21

      Hyperion

      185x140x113

      0.19-0.25

      Iapetus

      15.9

      718

      1.020

      0.05-0.5

      Phoebe 1

      15x110x105

      0.06

      Lesser Satellites

      Pan

      10

      0.5

      Atlas

      18.5x17.2x13.5

      0.9

      Prometheus

      0.0014

      74x50x34

      0.270

      0.6

      Pandora

      0.0013

      55x44x31

      0.420

      0.9

      Epimetheus

      0.0055

      69x55x55

      0.630

      0.8

      Janus

      0.0198

      99.3x95.6x75.6

      0.650

      0.8

      Calypso

      15x8x8

      0.6

      Telesto

      1
    5x12.5x7.5

      0.5

      Helene

      16

      0.7

      Orbital parameters

      Name

      Semimajor axis

      Period*

      Inclination

      Eccentricity

      (1000's kms)

      (days)

      (degrees)

      Mimas

      185.5

      0.942

      1.53

      0.0202

      Enceladus

      238.0

      1.370

      0.02

      0.0045

      Tethys

      294.7

      1.888

      1.09

      0.0000

      Dione

      377.4

      2.737

      0.02

      0.0022

      Rhea

      527.0

      4.518

      0.35

      0.001

      Titan

      1,221.9

      15.945

      0.33

      0.0292

      Hyperion

      1,481.1

      21.277

      0.43

      0.1042

      Iapetus

      3,561.3

      79.330

      7.52

      0.0283

      Phoebe

      12,952

      550.48R

      175.3

      0.163

      Lesser Satellites

      Pan

      133.6

      0.575

      Atlas

      137.6

      0.602

      0

      0

      Prometheus

      139.4

      0.613

      0.0

      0.0024

      Pandora

      141.7

      0.629

      0.0

      0.0042

      Epimetheus

      151.4

      0.695

      0.34

      0.009

      Janus

      151.5

      0.695

      0.14

      0.007

      Calypso

      294.7

      1.888

      0

      0

      Telesto

      294.7

      1.888

      0

      0

      Helene

      377.4

      2.737

      0.2

      0.005

      * The symbol R after the period indicates that the moon is in retrograde motion.

      TABLE 7.3 The Moons of Uranus

      Physical properties

      Name

      Mass

      Radius

      Density

      Albedo

      (1020 kg)

      (km)

      Miranda

      0.659

      240x234x233

      1.200

      0.27

      Ariel

      13.53

      581x578x578

      1.670

      0.34

      Umbriel

      11.72

      584.7

      1.400

      0.18

      Titania

      35.27

      788.9

      1.710

      0.27

      Oberon

      30.14

      761.4

      1.630

      0.24

      Name

      Mass

      Radius

      Density

      Albedo

      (1020 kg)

      (km)

      Lesser Satellites

      Cordelia

      1

      0.07

      Ophelia

      16

      0.07

      Bianca

      22

      0.07

      Cressida

      33

      0.07

      Desdemona

      29

      0.07

      Juliet

      42

      0.07

      Portia

      55

      0.07

      Rosalind

      29

      0.07

      Belinda

      34

      0.07

      Puck

      77

      0.07

      Orbital parameters

      Name

      Semimajor axis

      Period

      Inclination

      Eccentricity

      (1000's kms)

      (days)

      (degrees)

      Miranda

      129.8

      1.413

      4.22

      0.0027

      Ariel

      191.2

      2.520

      0.31

      0.0034

      Umbriel

      266.0

      4.144

      0.36

      0.0050

      Titania

      435.8

      8.706

      0.10

      0.0022

      Oberon

      582.6

      13.463

      0.10

      0.0008

      Lesser Satellites

      Cordelia

      49.75

      0.335

      0.1

      0.000

      Ophelia

      53.76

      0.376

      0.1

      0.010

      Bianca

      59.17

      0.435

      0.2

      0.001

      Cressida

      61.78

      0.464

      0.0

      0.000

      Desdemona

      62.66

      0.474

      0.2

      0.000

      Juliet

      64.36

      0.493

      0.1

      0.001

      Portia

      66.10

      0.513

      0.1

      0.000

      Rosalind

      69.93

      0.558

      0.3

      0.000

      Belinda

      75.26

      0.624

      0.0

      0.000

      Puck

      86.00

      0.762

      0.3

      0.000

      TABLE 7.4 The Moons of Neptune.

      Physical properties

      Name

      Mass

      Radius

      Density

      Albedo

      (1020 kg)

      (km)

      Naiad

      29

      0.06

      Thalassa

      40

      0.06

      Despina

      74

      0.06

      Galatea

      79

      0.06

      Larissa

      104x89

      0.06

      Proteus

      218x208x201

      0.06

      Triton

      214.7

      1,352.6

      2.054

      0.7

      Nereid

      170

      0.2

      Orbital parameters

      Name

      Semimajor axis

      Period*

      Inclination

      Eccentricity

      (1000's kms)

      (days)

      (degrees)

      Naiad

      48.23

      0.29

      4.74

      0.00

      Thalassa

      50.08

      0.31

      0.21

      0.00

      Despina

      52.53

      0.33

      0.07

      0.00

      Galatea

      61.95

      0.43

      0.05

      0.00

      Larissa

      73.55

      0.56

      0.20

      0.00

      Proteus

      117.65

      1.12

      0.55

      0.00

      Triton

      354.76

      5.88R

      156.83

      Nereid

     


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