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1.- Introduction• Only 3 galactic HMXBs clearly detected at TeV (PSRB1259-63, LS 5039 & LSI +61 303), plus 1 candidate(HESS J0632+057).• VHE modulated with orbital period emitter closeto massive star• Origin of VHE emission unclear: leptonic/hadronicscenarios invoking IC/pp collisions in jet/pulsar wind• Nature of compact star important in γ-ray productionmodels. PSR B1259-63 holds a NS but a BH is nottotally ruled out in LS 5039 & LSI +61 303dynamical studies are required.