Related to This question which was very open-ended, but it got me thinking about a very specific setting:
Modern Earth as is, or maybe 5-10 years into the future, so every major nation (US, EU, Russia, China) had time to build up its space capability to launching a few tons once a week, and any currently experimental technology could be made practical.
Tensions between superpowers (both old and new) escalated to armed conflict limited to space (the current ban on space weapons has fallen). Specifically, the focus of this space war is sending and shooting down low-orbit satellites that record events on the surface (e.g. lip-reading conversations through windows), or hack into cell phones and even WiFi (assume technology did develop enough for that). We can assume that these satellites require a large dish antenna, so they are detectable.
Let's assume no ground-level action (no nukes, no land invasion or attacking the space facilities). And no dropping tungsten rods onto cities. Perhaps the whole space war is happening secretly, as no country wants to start WWIII. Or countries cannot prove who attacked them.
The question is how this space warfare will play out. Here are some ideas
Can one "control an area" in space? How can US Space force keep its enemies from flying over the US mainland? Would placing assets in space make it easier than launching missiles from the ground? I do not think we can keep a space station "handing" over US in low-earth orbit, and geostationary orbit is too high up.
Can US space force keep enemies from approaching or attacking its space assets? It seems that all orbits must intersect (as long as they are in low-earth space)
It seems a viable attack method is to send a tungsten rod (or a swarm of tungsten balls) to collide head-on with the enemy. There could be a guidance system, but most damage comes from orbital velocity of the object.
a. It is viable to hit a space station from across the globe without a guidance system? Can guidance system avoid using a radar (which can be detected by the target)?
b. What is the defense against it? Can a space station be armored against this, or detect and evade in time? Can projectiles me made of a material that is invisible to radar (e.g. crystal)? Is it viable for a space station to make constant but small and unpredictable changes to its orbit to avoid this tactic?
Is it more viable to have a swarm of smaller vehicles, both detectors and attackers, sitting in orbit and waiting for orders? I.e. will the swarm-building nation beat the station-based nation given same resources?
Can one make a stealth satellite, i.e. one invisible to radar?
a. Can one make a satellite invisible in infrared, at least if viewed from some (or most directions), e.g. by minimizing heat produced on board, and radiating it in a very narrow cone?
These are just ideas; main question is how would warfare play out in general, so feel free to suggest things that I did not think about.