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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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