A management system is disclosed for controlling the tension of an endless track by regulating the hydraulic pressure in a hydraulic jack (20) acting on a roller serving to tension the track. The tension management system comprises three accumulators (30,32,34) of different capacity that are connected to the jack (20). Two accumulators (30,34) are in permanent direct communication with the jack (20); accumulator (34) has a greater capacity than accumulator (30) and is preloaded to a higher pressure than accumulator (30). Accumulator (32) is connected to the jack (20) through a parallel combination of a pressure relief valve (35) and a non-return valve (36).
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