Regional Jet 700 ER/LR (CRJ700)
Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Situational Awareness
Aircraft Equipment Problem Less Severe; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Issued New Clearance; Air Traffic Control Provided Assistance; Flight Crew Returned To Clearance
Aircraft; Environment - Non Weather Related; Human Factors
After delays due to difficulties with the navigational satellites applicable to the CRJ we departed ZZZ for ZZZ1.  While in the climb with Center; we were cleared direct ZZZ VOR.  We turned toward what we thought was ZZZ VOR; but discovered a big discrepancy (100+ miles) between our moving map position on the MFD and the VOR signal.  Pilot Flying was operating in white needles with Auto Tune on.  Pilot Monitoring switched from white needles with Auto-Tune on to green needles to verify the VOR signal.  As we were noticing the discrepancy; ATC alerted us that our heading was incorrect for ZZZ VOR and assigned us a heading.  Requested radar vectors for the remainder of the flight. Issues with the navigation satellites applicable to the CRJ.  The aircraft seemed to be having particular difficulty establishing it's location even in Auto Tune mode. Creating a procedure to determine if Auto Tune is working on the ground to establish a somewhat accurate position for the aircraft before departing enroute.
CRJ-700 Captain reported navigational issues relating to the FMS and GPS problems.