They are supposed to move in unison, if you are setting the digital time and the analog is not moving, there is a problem with the watch and it could need service. Here is a link to the manual for the watch, the movement for the Blue Angels is a C300 and you will see the manual also states the time mechanisms move in tandem.
http://www.citizenwatch.jp/support/pdf/coa/c300.pdf
Citizen does have service centers all over the globe, I am sure you can get the watch fixed if it does need service, You can find the local service center at the Citizen web site. Hope that helps.
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