Evidence for a colour dependence in the size distribution of main belt asteroids

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  • 8/14/2019 Evidence for a colour dependence in the size distribution of main belt asteroids

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    arXiv:as

    tro-ph/0611310v1

    9Nov2006

    http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1http://arxiv.org/abs/astro-ph/0611310v1
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    g r

    r

    g

    r

    g

    r

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    V 22

    dN DpdD

    D

    dN

    D

    D + dD

    p = 3.5

    D < 1

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    1o 1o

    g

    400 580

    r

    550 700

    g r

    i

    g r

    g

    g

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    g

    r g

    g

    r

    7

    g 19 r

    2

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    g

    r

    g r

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    Hk

    k

    mk

    mk = Hk + 5 log10(r) + P()

    r

    P() P() G

    3.9o r

    r

    mk

    Hk

    r

    D =1347 10Hk/5

    A1/2k

    D Ak k D

    Hk

    Hk Hk

    log N(< Hk) = C + Hk.

    N C

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    N(> D) Db

    b N D

    b = 5

    b

    b = 2.4

    b = 1.8

    b = 1.8

    m

    b = 1.5

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    b = 1.3

    b = 1.2

    b = 1.9

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    0.5 0.0 0.5 1.0

    5

    10

    20

    50

    10

    0

    500

    log10(Diam (km))

    umuatvenu

    m

    er

    g

    r

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    g b = 1.87 0.05 r b = 2.45 0.07

    1.94 0.15

    2.23 0.11

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    0.4 0.2 0.0 0.2 0.4 0.6 0.8

    10

    20

    50

    10

    0

    200

    500

    log10(Diam (km))

    umuatvenu

    m

    er

    g

    r

    g

    r

    g

    r

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    b = 1.35 0.02 1.79 0.07

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    r

    g

    (2.0 < a(AU) 2.6) (2.6 < a(AU) 3.0)

    (3.0 < a(AU) 3.5)

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    0.5 0.0 0.5 1.0

    2

    5

    10

    20

    50

    100

    200

    log10(Diam (km))

    umuatvenu

    m

    er

    g

    r

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    0.5 0.0 0.5 1.0

    2

    5

    10

    20

    50

    100

    200

    log10(Diam (km))

    umuatvenu

    m

    er

    g

    r

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    0.5 0.0 0.5 1.0

    1

    2

    5

    10

    20

    50

    log10(Diam (km))

    umuatvenu

    m

    er

    r

    b = 2.39 0.07) b = 2.25 0.08

    r

    b = 2.00 0.05)

    g

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    (b = 1.85 0.06) b = 1.58 0.06

    b = 1.60 0.07

    g

    r

    b

    N

    g

    r

    g

    r

    g

    r

    g

    r

    r

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    r

    b = 1.8 0.07 1.81 0.09

    b = 2.39 0.07 2.25 0.08

    g

    r

    g

    r

    g

    r

    g

    r

    g

    r

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    g r

    r

    g

    r

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    r

    g.

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    r g

    g r

    A

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    N

    D < 2.5 3.5