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Zarathust | 8 years ago
A key feature of the plasma magnet is that the diameter of the magnetosphere increases as the density of the solar wind decreases as it expands away from the sun. The resulting expansion exactly matches the decrease in density, ensuring constant thrust. Therefore the plasma magnet has a constant acceleration irrespective of its position in the solar system.
I'm not 100% sure about the science here, but the "exactly" looks a bit magical to me. If I understand the concept correctly, when the sail is closer to the sun, the particles "pressure" on the sail will "compress" and reduce its effective area.
iaw|8 years ago
The component is likely in the denominator because as solar wind density goes down we'd expect the magnetosphere size to increase.
Now, the solar pressure is something like P=S(r) where P is the pressure and r is the distance from the sun and S contains some geometry and solar power terms.
If we look at M(V) we could probably then find an M'(V) s.t. M(V,r) = M'(V) / S(r). To get the force produced by the drive we'd take M(V,r) * S(r) which cancels out all radius terms.
Mathematically this would indicate that the thrust on the magnetosphere would be invariant for all r within the solar system (after that point other terms within S() and M() that are based on solar output would likely start to break down)