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Bottom of page 1065: The disk mass in the observed region out to ≈ 60 AU is ≈ 0.1 M,,earth,, (6e23 kg), only weakly Bottom of page 1065: The disk mass in the observed region out to ≈ 60 AU is ≈ 0.1 M,,♁,, (6e23 kg), only weakly
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The Kuiper starts at approximately 30 AU and is constrained by observability. A 1.5 g/m^2^, 50 AU Dyson shell ( 7.46E9 km, 7e20 km^2^ ) uses 1e24 kg of ice and other materials; that is cut in half if the shell uses [[IRfilter | front-side IR filtering ]]. The Kuiper belt starts at approximately 30 AU; most is too difficult to observe.
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|| || Pluto || Eris ||!MakeMake||
|| Aphelion AU || 49.3 || 97.7 || 52.8 ||
|| Perihelion AU || 29.7 || 38.6 || 37.9 ||
|| Avg Orbital speed m/s || 4670 || 3430 || 4419 ||
|| Orbital period Gsec || 7.82 || 17.6 || 9.75 ||
|| Inclination degrees || 17.4 || 44.04 || 29 ||
|| Radius km || 1190 || 1163 || 715 ||
|| Mass kg || 1.3e22 || 1.66e22 || ||
|| Mass Earths || 0.0022 || 0.0028 || ||
|| Escape m/s || 1210 || 1380 || ||
|| Rotation period sec || 5.52e5 || || ||
|| Rotation speed m/s || 13 || || ||
|| Axial tilt degrees || 120 || || ||
|| Aphelion Velocity m/s || || || ||
|| Perihelion V m/s || || || ||
The characteristic light pressure mass density M,,λ,, ( kg/m² ) is L,,⊙,, / 4π c μ,,⊙,, = 3.846e26 / 4 π 2.99792e8 * 1.32712e20 = 7.45e-4 g/m² . A perfect [[IRfilter | front-side IR filtering ]] back-side emissive thinsat masses 1/3 of that, 2.48e-4 g/m². Assume some imperfections, 3e-4 kg/m².

A 3e-4 kg/m², 50 AU Dyson shell ( 7.46E9 km, 7e26 m² ) uses 2.1e23 kg of ice and other materials. Presume we use 10% of that as reaction mass, 2.1e22 kg, total 2.3e22 kg and use the other 3.7e22 as a reserve. As the sun heats up over the next few billion years, the shell must move further out to stay cool, and the light pressure will increase, so more ice must be mined from the Oort cloud and other ice bodies passing the solar system to continuously add to the mass of the shell.

|| || Pluto || Eris || !MakeMake||
|| Aphelion AU || 49.3 || 97.7 || 52.8 ||
|| Perihelion AU || 29.7 || 38.6 || 37.9 ||
|| Semimajor Axis AU || 39.5 || 68.1 || 45.3 ||
|| Angular vel. ω rad/s || 8.05e-10 || 3.56e-10 || 6.56e-10 ||
|| Eccentricity e || 0.245 || 0.434 || 0.164 ||
|| Velocity v,,o,, m/s || 4895 || 4010 || 4490 ||
|| Aphelion Velocity m/s || 3932 || 2796 || 3857 ||
|| Perihelion V m/s || 6843 || 7085 || 5370 ||
|| Orbital period Gsec || 7.82 || 17.6 || 9.75 ||
|| Inclination degrees || 17.4 || 44.04 || 29 ||
|| Radius km || 1190 || 1163 || 715 ||
|| Mass kg || 1.3e22 || 1.66e22 || ||
|| Mass Earths || 0.0022 || 0.0028 || ||
|| Escape m/s || 1210 || 1380 || ||
|| Rotation period sec || 5.52e5 || || ||
|| Rotation speed m/s || 13 || || ||
|| Axial tilt degrees || 120 || || ||

KuiperBelt

The Structure of the Kuiper Belt: Size Distribution and Radial Extent, Brett Gladman et. al.

Bottom of page 1065: The disk mass in the observed region out to ≈ 60 AU is ≈ 0.1 M♁ (6e23 kg), only weakly dependent on the roll-over size and radial distribution.

The Kuiper belt starts at approximately 30 AU; most is too difficult to observe.

The characteristic light pressure mass density Mλ ( kg/m² ) is L / 4π c μ = 3.846e26 / 4 π 2.99792e8 * 1.32712e20 = 7.45e-4 g/m² . A perfect front-side IR filtering back-side emissive thinsat masses 1/3 of that, 2.48e-4 g/m². Assume some imperfections, 3e-4 kg/m².

A 3e-4 kg/m², 50 AU Dyson shell ( 7.46E9 km, 7e26 m² ) uses 2.1e23 kg of ice and other materials. Presume we use 10% of that as reaction mass, 2.1e22 kg, total 2.3e22 kg and use the other 3.7e22 as a reserve. As the sun heats up over the next few billion years, the shell must move further out to stay cool, and the light pressure will increase, so more ice must be mined from the Oort cloud and other ice bodies passing the solar system to continuously add to the mass of the shell.

Pluto

Eris

MakeMake

Aphelion AU

49.3

97.7

52.8

Perihelion AU

29.7

38.6

37.9

|| Semimajor Axis AU || 39.5 || 68.1 || 45.3 ||

Angular vel. ω rad/s

8.05e-10

3.56e-10

6.56e-10

Eccentricity e

0.245

0.434

0.164

Velocity vo m/s

4895

4010

4490

Aphelion Velocity m/s

3932

2796

3857

Perihelion V m/s

6843

7085

5370

Orbital period Gsec

7.82

17.6

9.75

Inclination degrees

17.4

44.04

29

Radius km

1190

1163

715

Mass kg

1.3e22

1.66e22

Mass Earths

0.0022

0.0028

Escape m/s

1210

1380

Rotation period sec

5.52e5

Rotation speed m/s

13

Axial tilt degrees

120

KuiperBelt (last edited 2015-11-18 03:20:11 by KeithLofstrom)