Rotary compressor, heat pump, and household appliance

A rotary compressor (1) comprises a cylindrical housing (8), a cylindrical roller (10) accommodated in the housing (8), a motor shaft (13) leading through the roller (10) having a cam (14) for rolling the roller (10) along a side wall (15) of the housing (8), and a discharge port (18) leading through a bottom cover (12), wherein a height-to-radius ratio (hr/rr) of the roller (10) is between 1.6 and 1.2, a radius (rs) of the motor shaft (13) is 8.0 mm or less, a cam height (hc) is 14 mm or less, an area (Q) of the discharge port (18) is 17 mm2 or more, and a thickness (d) of the discharge port (18) is 2.5 mm or less. For operation of the compressor (1), a top cover (19) may be put onto the top open side of the housing (8). The top cover (19) may have a bushing for the shaft (13). A heat pump (P) comprises the compressor (1). A household appliance (H), in particular laundry care apparatus (H), comprises the heat pump (P). 种旋转式压缩机(1)，其包括：圆筒形壳体(8)、容纳在壳体(8)中的圆筒形滚子(10)、穿过所述滚子(10)的可转动的马达轴(13)以及穿过底盖(12)的排出口(18)，所述马达轴