KuiperBelt

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

I may be misinterpreting this graph - the legend for this curve is 1 billion years after solar system formation, it is now 4.6 billion years, and the trend for the multiple curves in the original is for low mass objects to merge, pushing the top of the curve downwards. Many objects will get perturbed into comet trajectories or solar escape. The "small" (mountain to asteroid sized) objects with small areas will be very difficult to observe, but the LSST will help find such objects in vast quantities.

When I get time, I will track down the D. Davis paper.

Bottom of page 1065: The disk mass in the observed region out to ≈60 AU is ≈0.1 M_earth (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 M_λ ( 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 ( 7.46e12 m, 7e26 m², g_⊙ = 2.38e-6 m/s² ) 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
Density g/cm³	1.84	2.52
Escape velocity m/s	1210	1380
Gravity m/s²	0.62	0.82
Core pressure GPa	0.7	1.2		WAG
Rotation period sec	5.52e5
Rotation speed m/s	13
Axial tilt degrees	120

Challenger Deep 110 MPa, Earth core 350 GPa, Jupiter 4 TPa, Sun 30 PPa
Carbon Fiber 1 GPa compression at 300K, 60% better at LN2 temperature