2010-02-09, CK - Solar Parasols Data

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    PARAMETER-QUANTITY Reference Source

    93,000,000.0 miles 1.488E+11 148,800,000,000 m p.187, "LIFE NATURE",

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    NOT-TO-SC

    12/2/20

    9.48E+06 m = 9,483 km

    2.54E+11kg

    1. Distance DL1

    - from Earth - of single disk Lagrange Parasol (known data) = DL1

    = 6.92E6m

    2. Radius RHL1

    - of single disk Lagrange Parasol (by similar triangles):

    (RS

    - RE) / D

    ES= (R

    HL1- R

    E)

    / D

    L1

    RHL1

    = RE

    + DL1

    * (RS

    - RE) / D

    ES= 6.32E6 + 6.92E6 * (6.92E8 -6.32E6) / 1.5E11

    RHL1

    = This would be the RADIUS of a single IR reflecting parasol disk, located at L1, to shade ALL o

    3. Mass of MonoSol disk = area * thickness * density (plastic + nano-wire) = P * (9.48E6 m)2 * 0.01E-3m * (90

    Estimate density of polyethylene plastic = 0.9 gm/cc = 90kg/m3; nano-wire (scattered thru' plastic) = 0.1 density of solid steel

    Sun's Rays toCircumference of Earth

    SUN CENTRE =centre of planetary orbit system

    EARTH in solar or

    Distance Earth-Sun DES

    = 1.5E11m

    Location of Lagrange Point

    a naturally stable gravitationin solar orbit about Su

    Radius RS= 6.9E8m

    Earth-RE=6.3E6m

    Radius, if a full MonoSolwere used, RHL1

    =9.5E3km;

    Also would be the (average) minor-radius of annular ellipse,

    if a LentiSol (ring) were used (see next sheet).

    Dist. DL1

    GEOMETRY & CALCULATIONS FOR PARASOL USING MONO-SOL-DISKAT L1

    Umbra of a 'Mshade all of E

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    12/2/2010 9:26 NOT

    `

    9.5E+06m = 9,483km

    4. Ratio of mass of LentiSolAnnulus to mass of MonoSol 0.0010% This is a BIG saving in launch ma

    1. Distance DL1

    - from Earth - of multiple disk Lagrange Parasol (known data) = DL1

    = 1.5E9m

    2. Average radius RHL1

    - of HALO ORBIT - of multiple disk Lagrange Parasol (by similar triangles):

    (RS

    - RE) / D

    ES= (R

    HL1- R

    E)

    / D

    L1

    RHL1

    = RE

    + DL1

    * (RS

    - RE) / D

    ES= 6.32E6 + 6.92E6 * (6.92E8 -6.32E6) / 1.5E11

    RHL1

    = = Average RADIUS of a lenticular parasol - shading only polar regions - using 20 smaller paras

    3. Mass of LentiSolAnnulus = area * thickness * density (plastic + nano-wire) = [[P * (9.5E6m)2] - [P * (9E6m)2]] * 0.01E-3m * Estimate density of polyethylene plastic = 0.9 gm/cc = 90kg/m3; nano-wire (scattered thru' plastic) = 0.1 density of solid st

    Sun's Rays toCircumference of Earth

    SUN CENTRE =centre of planetary orbit system

    Distance Earth-Sun DES

    = 1.5E11m

    Location of Lagrange Point L1,in solar orbit about Sun

    Radius RS= 6.9E8m

    Earth-RE=6.3E6m

    Minor radius of elliptical LentiSol RHL1

    =9.5E3km

    Dist. DL1

    =

    1.5E9m

    GEOMETRY & CALCULATIONS FOR PARASOL USING LENTI-SOL-ANNULUS AT L1

    Um

    (from scaling)Thickness of LentiSol ring

    0.5km

    Umbra of t

    There appea

    Thickness of sh

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    1. Distance DHEO

    from Earth - of HEO Parasol (known data) = DHEO

    = 2,700,000m

    Sun's Rays toCircumference of Earth

    SUN CENTRE =centre of planetary orbit system

    Distance Earth-Sun DES

    = 1.5E11m

    -Radius RS= 6.9E8m

    Earth-RE=6.3E6

    Dist.

    DHEO

    GEOMETRY & CALCULATIONS FOR PARASOL USING HEO-RETROGRADE-SATELLITE-RIN

    Thickn

    HEO LentiSol Ringin retrograde orbit 36E6km about Earth

    Thickness of HEOLentiSol Ring =

    0.6m

    Um

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    This illustrates 20 circular fully reflective mirrors,orbiting in a HALO orbit at Lagrange1forming a lenticular shading ring to cool

    only the polar regions.

    Ringthickness of

    Lenticular

    ParaSol =

    "LentiSol"

    HALO orbit centre

    lies on the Earth-Sun axis

    Each orbiting IR reflecting sub-parasol

    could alternatively be made from white

    light reflecting (cheaper) dia-electricmirrors

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    The six RGB-CMY circles represent 6 parasols which cumulatively (overlapping each other) form a MonoSol - not a good solution tho' - too Tho' these six are not not a feasible solution, they do form a graphic framework for the better Lenti-Sol solutionThe six brown circles represent 6 parasols which cumulatively form a LentiSol (aka 'Annulus')The six brown plus 6 grey circles represent 12 parasols which cumulatively form a LentiSol (aka 'Annulus')

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