A Thermionic Bare Tether (TBT) is a long conductor coated with a low work function material. Under drag mode, a tether segment extending from anodic end A to a zero-bias point B, with standard Orbital-motionlimited current collection and ohmic effects, is followed by a complex cathodic segment. In general, as bias becomes more negative in moving from B to cathodic end C, one first finds space-charge-limited emission covering up to some intermediate point B*, then full Richardson-Dushman emission reaching from B* to end C. An approximate analytical study, which combines current and voltage profile equations with results from asymptotic studies of the Vlasov-Poisson system for emissive probes. is carried out to determine the parameter domain covering two limit regimes. In one such regime no point B* is reached and thus no full R-D emission develops. In an opposite limit regime, segment BB* is too short to contribute significantly to current balance.