Periodic　orbits　are　crucial　in　facilitating　the　understanding　of　the　dynamical　behavior　of　elongated　asteroids.　As　a　specific　type　of　periodic　orbit,　resonant　orbits　can　enrich　the　orbit　design　method　of　deep-space　exploration　missions.　Herein,　a　dipole　segment　model　for　investigating　the　orbital　dynamics　of　elongated　asteroids　is　briefly　introduced.　A　new　numerical　algorithm　named　the　modified　path　searching　method　for　identifying　spin-orbit　resonant　orbits　is　proposed.　Using　the　modified　path　searching　and　pseudo-arclength　continuation　methods,　four　spin-orbit　resonant　families　for　asteroid　2063　Bacchus　are　obtained.　The　distribution　of　eigenvalues　and　stability　curves　for　the　four　resonant　families　are　presented.　In　particular,　some　critical　points　corresponding　to　period-doubling　and　tangent　bifurcations　appear　in　the　stability　curves.