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A dual-band circularly-polarised antenna implemented on a single substrate is proposed for Ku-band satellite communication. A microstrip-fed Spidron fractal patch is utilised to achieve dual-band resonance and circular polarisation. The proposed antenna, with dimensions of 50 × 50 × 1.52 mm3, has also been fabricated and tested. The measured -10 dB reflection bandwidths are 8.7- (11.44-12.48 GHz) and 6.6- (13.47-14.39 GHz), exhibiting a small resonant frequency ratio of 1.15. The 3 dB axial ratio bandwidths for the lower band and the upper band are 2.96 and 1.68-, respectively.