Constraints on the orbit for a putative compact companion of HD 45314 resulting from our upper limit of 10 km s⁻¹ on K. We assume amass of 20 M_⊙ for the Oe star. In the left panel, we consider a 2.0 M_⊙ companion, whereas the right panel corresponds to a 1 M_⊙ companion. The blue, green, and red lines correspond to eccentricities of 0.0, 0.5, and 0.8. The vertical straight line corresponds to the adopted radius (8 R_⊙) of the Oe star and the associated Keplerian rotation period. The dashed vertical line corresponds to the minimum outer radius of the Be disk that we have taken here as 10 R_* (see Sect. 5.4) and its associated Keplerian period. The hatched area indicates the part of the parameter space that is excluded from the upper limit on the RV amplitude.