Possibilities and limitations for the complete determination of all orientational parameters from iterative fitting of various MAS NMR spectra of ABX three-spin systems are explored. The practical example chosen is the (31P)2 113Cd ABX spin system in solid Cd(NO3)2 · 2PMe2Ph1 where 113Cd is an X nucleus of low natural abundance. Conventional 31P and 113Cd MAS NMR spectra, plus 113Cd MAS NMR spectra obtained under conditions of either simultaneous high power 31P and 1H decoupling, or under conditions of 31P rotary resonance recoupling are considered. Considerable anisotropy of the heteronuclear J coupling 1J(113Cd, 31P) is observed.