The link to the satellite might be broken if the a/c was rotating (spinning) The antenna on the a/c might not be able to keep up with the changes in signal polarisation caused by the rotation of the aircraft. Such a vulnerability is dependant on the type of polarisation used. Perhaps JD-EE can advise.
Can I just pre-empt JD-EE's response by saying, no the aircraft would have to be spinning several orders of magnitudes faster than is possible to upset the signal ploarization.