I’m building a binary planet system, and I want to know where I could place large groups of satellites. I’m worried centrifugal force and coriolis effects will prevent a satellite from occupying any sort of sort of low earth orbit unless it’s a polar orbit between the near and far sides. Apart from what orbits can’t be used, I wonder what places might be the most stable and practical, like Lagrange points and such. One idea I had was where the centrifugal force allows satellites to orbit around the axis running between the 2 planets, but shifted toward the far side. For context, the major body is the size of Venus, and is habitable. The minor body is the size of mars, and is not. The planets centers are separated by about 7 earth radii, are tidally locked to one another, and have an orbital period of 30 hours. The barycenter is very close to the major body’s surface
Unless the planets are less than a few diameters apart, low orbits should be reasonably stable. The highest we consider LEO is about 1/4 of an earth radius above sea level (the lowest are about 1/32). Depending on the spacing and coorbital rate, tidal forces might need to be accounted for.
Also stable are the L4 and L5 points (or the L5 and L4 points if you're on the other planet). These will be far more distant, and consequently more expensive to get to. Further, they'll get crowded pretty quickly if you send hundreds of satellites up there.
The only other stable orbits, barring niche solutions using resonance to enforce stability (which will depend extremely on the planets' masses, distance between them, and coorbital rate) would be well outside the coorbit. These are probably not as useful as the low orbits, and would be extremely expensive to get to.
The other Lagrange points, as well as wide internal orbits, could be maintained only by constant fine adjustment, so these would have to have a lifetime supply of fuel. It's not an insurmountable problem; that's how the James Webb keeps itself at the earth-sun L2 point, so it can be accomplished.
The most stable place for a satellite to orbit in a binary planet system is actually not around either of the two planets, but rather around the system's barycenter. This is because the gravitational pull from both planets cancel each other out at this point, making it much easier for a satellite to maintain its orbit.
There are also several Lagrange points in a binary planet system, which are points where the gravitational forces of the two planets cancel each other out. These points are not as stable as the barycenter, but they can still be used as locations for artificial satellites.
Finally, it is also possible to place satellites in polar orbits around either of the two planets. These orbits are not as stable as the other options, but they can be used if necessary.