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|| diameter || radius   || quantity  || area     || volume ||
||<)> > m ||<)> m || ||<)>hectare||<)> m³  ||
||<)> 31.6 ||<)> 15.8 ||<)>1000000 ||<)> 0.314 ||  1.66e4 || from Yeomans ||
||<)> 100 ||<)> 50 ||<)> 100000 ||<)> 3.140 ||  5.24e5 ||
||<)> 316 ||<)> 158 ||<)> 10000 ||<)> 31.40 ||  1.66e7 ||
||<)> 1000 ||<)> 500 ||<)> 1000 ||<)> 314 ||  5.24e8 || from Yeomans ||
||<)> 3160 ||<)> 1580 ||<)> 100 ||<)> 3140 || 1.66e10 ||
||<)> 10000 ||<)> 5000 ||<)> 10 ||<)> 31400 ||
5.24e11 ||
||<)> 31600 ||<)> 15800 ||<)> 1 ||<)> 314000 || 1.66e13 ||
||<)>diameter||<)>radius||<)>quantity||<)> area ||<)> volume ||
||<)> > m ||<)> m || ||<)>hectare||<)>    m³ ||
||<)> 31.6 ||<)> 15.8 ||<)>1000000 ||<)> 0.314 ||<)> 1.66e4 || from Yeomans ||
||<)> 100 ||<)> 50 ||<)> 100000 ||<)> 3.140 ||<)> 5.24e5 ||
||<)> 316 ||<)> 158 ||<)> 10000 ||<)> 31.40 ||<)> 1.66e7 ||
||<)> 1000 ||<)> 500 ||<)> 1000 ||<)> 314 ||<)> 5.24e8 || from Yeomans ||
||<)> 3160 ||<)> 1580 ||<)> 100 ||<)> 3140 ||<)>1.66e10 ||
||<)> 10000 ||<)> 5000 ||<)> 10 ||<)> 31400 ||<)>
5.24e11 ||
||<)> 31600 ||<)> 15800 ||<)> 1 ||<)> 314000 ||<)>1.66e13 ||

NEO Settlement

Start with this claim in Near-Earth Objects by Yeomans: 1000 NEOs larger than 1000 meters, 1e6 NEOs larger than 30 meters. Assume a power law of quantity versus size (assume spherical, a lousy assumption).

diameter

radius

quantity

area

volume

> m

m

hectare

31.6

15.8

1000000

0.314

1.66e4

from Yeomans

100

50

100000

3.140

5.24e5

316

158

10000

31.40

1.66e7

1000

500

1000

314

5.24e8

from Yeomans

3160

1580

100

3140

1.66e10

10000

5000

10

31400

5.24e11

31600

15800

1

314000

1.66e13

The quantity is the cumulative sum of all objects larger than that radius (or area or volume). Assume a power law for the cumulative quantity versus area A in hectares, N(A) = 314000/A, and dN/dA = n(A) = -314000/A². Assume a minimum usable area of A₀ (perhaps , and a maximum area A₁ for 314000 hectare for 1 large NEO asteroid.

MoreLater


Assume a cylindrical small habitat, 25 meters radius, 25 meters across, 6 RPM and 1 gee. Surface area is 2π*(25m)² = 3930m² = 0.97 acres; assume day/night cycle rotation of solar illumination and green photon recycling as red to produce the photosynthetic equivalent of 5 acres. Assume 4 meters of shielding, about 16000 m³ of asteroid material made into one habitat.

Fit

NEOsettlement (last edited 2017-12-08 22:47:21 by KeithLofstrom)