If you have a digital receiver to watch the Fransat channels, they are all on Vertical Low band, the French analogue channels are all on vertical high band, the high and low band setting on the LNB needs to be switched by the receiver using a 22khz tone, so if you were watching a digital channel in one room on vertical low band and switch on the analogue receiver in the other room, you would instantly lose the digital channels as the analogue receiver switches the LNB to high band.
As the others have said, the only solution is to fit a twin LNB with a feed to each receiver, quite an easy job.
Strangely enough I was in Maplin the other day looking for an RJ11 connector and had to correct the guy at the help counter on this very subject, as the customer wanted to use one for two Sky boxes and they have channels on all four bands.
With that satellite as it stands, you could use a splitter with power pass on both ports (the one you point to only passes power on one port) for two digital receivers, or two analogue receivers, but of course the frequencies and polarisations for the digital channels may change when they switch off the analogue transmissions and re-use the frequencies.