Do satellites over very panicked countries calm them down?
If the country withdraws, you will lose the satellite.
Countries only abandon at 5 panic and only at the end of month (during the report).
Launching a satellite reduces panic in that country by 2. If this is done just before the end of month, it is unlikely events will happen to cause panic to rise to 5 before the country pays you.
It is a good strategy to control panic via satellites.