A wave bearing of a space strain wave gearing device comprises an inner ring formed from a bearing steel, an outer ring formed from a martensitic stainless steel, and balls formed from ceramics. On the inner ring formed from a bearing steel, a ceramic coating formed by an AD method is formed as a rust-preventive coating. In the space strain wave gearing device that adopts solid lubrication (powder lubrication), it is possible to reliably prevent rust from developing on the inner ring formed from a bearing steel of the wave bearing. In a space environment where the temperature greatly changes, appropriate setting of the linear expansion coefficients of the inner ring, the outer ring, and the balls enables a change in the radial gap of the wave bearing to be suppressed to a range that does not interfere with practical use.