This paper presents an analytical framework for base station (BS) deployment in Hyperloop communication systems. Recognizing the challenges of the systems, the study proposes three guidelines for BS deployment: 1) synchronized pod passage at BS locations, 2) exclusive spectrum access for each pod, and 3) symmetric deployment around the tube mid-point. The framework classifies all possible BS deployments and derives explicit existence conditions based on key system parameters: tube length as well as pod's acceleration, maximum speed, and departure interval. The investigation reveals that only specific pod acceleration completion scenarios, where pods finish accelerating within the coverage of certain BSs, permit the guidelines to be satisfied, while other cases are shown to be infeasible due to conflicts with the guidelines. This framework enables a Hyperloop communication system designer to determine the location of BSs required for a set of given system parameters. Furthermore, the results demonstrate that BS deployments determined based on 30-second departure interval remain feasible for any departure interval which is an integer multiple of 30 seconds. This ensures scalability and robustness for real-world scheduling.