A boomerang is an aerodynamically built object that, when thrown precisely, makes a quasi-circular flight and returns closely to its starting position. Numerous academics have analysed the boomerangs' motion and aerodynamics. None of the researchers in the field investigated the possibility of using the boomerangs for novel field applications rather than hunting and playing. Using boomerangs for field applications is beneficial in several ways because, unlike general drones, these boomerangs do not consume power continuously and low manufacturing cost. Using a boomerang in outfield applications is challenging because the external field is always unsteady and turbulent; therefore, a boomerang should be mathematically modelled for unsteady environment for precisely predict the trajectory. Few steady mathematical models were developed and validated in the reported literature and an unsteady mathematical model of boomerang was developed recently though it was not experimentally validated. The article reviews the mathematical modelling of boomerangs for certain novel outfield applications like agricultural inspection and weather monitoring. The depth of study in the mathematical modelling of boomerang is insufficient for developing novel applications. The article will aid the industrialists and researchers to advance in the field, and they can see the possibility of replacing the drones in novel outfield applications.