I think the answers go together, in that a binary system is really only an extreme example of the kind of stuff we see in our own solar system. Electrical & magnetic phenomena, and plasma physics, do shape the solar system, and in some sense even define what it is. But this is all well known, and thoroughly documented over the decades, in books & papers. One could easily discover this without any reference to the electric cosmos model.

There is so much to say about this that I can't hope to tell a complete story here. I've already provided a number of links to sources of info on the web, the Oulu Space Physics Online Textbook being probably the best of the lot, for web reading. Otherwise, it's off to the library or bookstore, as the case may be. A few examples (none, I fear, suitable for the non-scientist reader): Space Physics: An Introduction to Plasmas and Particles in the Heliosphere and Magnetospheres, May-Britt Kallenrode, Springer, 2001 (2nd ed); Plasma Astrophysics, Toshiki Tajima & Kazunari Shibata, Perseus Publishing, 2002; Physics of the Jovian Magnetosphere, A.J. Dessler (ed), Cambridge University Press, 1983 (there is a new edition, according to the publisher, but I have the old one). But of course, this is an active area of research, and one must watch the journal pages as well. There is a huge amount of material on the solar wind, and solar system plasma physics. My only point here is to show that, despite some claims to the contrary, plasma physics is by no means an area that is ignored in standard science.

Classically, the solar system is "defined" by the sun & the nine planets, plus a few comets & asteroids, as they were discovered. But it was not really until the 1950's that anyone realized the real extent & effect of plasma physics in the solar system, and it has been a hot topic ever since (see Origins of Magnetospheric Physics, James A. Van Allen, Smisthonian Institution Press, 1983, for a good history of the topic; very little physics, lots of history). Pluto hangs out about 40 AU from the sun, but the solar wind can travel 100 AU or more, before it rams into the interstellar wind (and it will go much farther in the down-wind direction, as a long plasma tail, much like the tail of a comet). If the "solar system" is defined by that bubble carved out of the interstellar plasma, by the solar wind, the the solar system is a lot bigger than the nine planets would imply. In this sense, the solar wind, and the electromagnetic processes that go with it, actually define what the solar sustem is (along with such outliers as the Kuiper belt and Oort cloud, which might expand the solar system half way to the next star over).

Inside the solar system, there are numerous shock waves induced in the solar wind, where it encounters the strong planetary magnetic fields (Earth & the 4 giant planets). the shock waves occur where the solar wind runs head-on into the magnetic fields, but the planetary magnetospheres all have huge long tails (the tail of the Jovian magnetosphere includes Saturn when it points that way), which are swept & shaped by the solar wind.

The Jovian magnetosphere is the busiest, including the electrical connection between Jupiter & Io. My own research centered on the Jovian magetosphere for several years, and we wound up demonstrating that solar wind plasma was penetrating unexpectedly deep into Jupiter's magnetic field, and explained why.

In a normal binary system, the stars are far enough apart that all you get is shock waves similar to those in our solar system, where the stellar winds collide. But in the more exotic cases, like close binaries, or contact binaries, the stellar winds get more complicated. But the real fun with stellar winds comes with supermassive stars. A star that shines bright enough to reach the Eddington limit will blow away its own outer atmosphere, simply by the pressure of the extreme light emitted by the star (this is what happens in Wolf-Rayet stars, or in many cases with Luminous Blue Variables). When it comes to stellar winds, the sun is a real wimp, compared to the big stars.

What we see in the interplanetary medium is a complicated affair; it's not just a "plasma", and unadorned plasma physics will not correctly describe it, because it is magnetized (by the solar magnetic field), and it is "dusty" (where interplanetary dust particles may or may not be charge neutral). So the plasma & dust can (and do) affect each other, and the magnetic field (the rotation of which cannot be ignored) constrains the motion of the solar wind plasma, and the dust (which also responds to light pressure, as do small asteroids).

But are stars electrical, as suggested by the electric cosmos model? The evidence does not support such a notion. Are the planets subjected to electromagnetic forces large enough to move them around? Aside from the aforementioned Yarkovsky effect, which would be unmeasurably small for anything as massive as a planet, the evidence does not support that notion either. It is important to realize that this is not a scientifically casual area of investigation. On the contrary, it is a huge & intense area of investigation, about which a great deal is well known. Of course, "great deal" does not equal "everything", but it does rule out a lot of speculation about the driving forces in the solar system. The extreme ideas of the electric cosmos are ruled out, rather confidently, by what we do know.

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The point of philosophy is to start with something so simple as not to seem worth stating, and to end with something so paradoxical that no one will believe it. -- Bertrand Russell