1. Temporal decorrelation effects from scatterer motion can severely degrade the performance of SAR tomography by causing loss of elevation resolution and accuracy. 2. Model-based SAR tomography is more strongly affected by temporal decorrelation compared to adaptive beamforming tomography. Acquisition time spans greater than half the decorrelation time can critically impact performance. 3. Differential tomography is proposed as a new approach that accounts for temporal changes and can extract elevation information more robustly even in temporally decorrelating scenes. It shows potential to improve SAR tomography for future spaceborne missions.