In　this　paper,　the　theory　for　acoustic　radiation　force　exerted　by　standing　surface　acoustic　waves　(SSAWs)　is　extended　to　a　compressible　sphere　in　inviscid　fluids.　The　conventional　theory,　developed　in　plane　standing　waves,　fails　to　predict　the　radiation　force　incident　on　particles　in　the　SSAW.　Our　extended　formulas　reveal　that,　in　the　direction　normal　to　the　piezoelectric　substrate,　the　acoustic　radiation　force　cannot　only　push　the　sphere　away,　but　also　pull　it　back　towards　the　substrate.　In　the　direction　parallel　to　the　substrate,　both　the　magnitude　of　the　radiation　force　and　the　equilibrium　positions　for　particles　can　be　actively　tuned　by　changing　the　Rayleigh　angle.　This　is　exceedingly　meaningful　for　particle　positioning　by　tilted　angle　SSAWs　and　SSAWs.　Furthermore,　the　Rayleigh　angle　can　also　be　used　to　actively　regulate　the　resonance　point　and　peak　for　bubbles　acted　on　by　SSAWs.　The　extended　theory　can　thus　be　used　in　the　design　of　SSAWs　for　manipulating　particles　and　bubbles.　©　2018　American　Physical　Society.