Do gravitationally bound (e.g. orbiting) objects really resist the expansion of space?
Expansion of space does affect orbits, but the effect is really small. 

Rate of space expansion is currently about 2cm/s per light year. Sun orbits Milky Way at about 230 km/s, and space expansion contributes about 0,5km/s. It is going to be difficult to measure other variables, such as stellar masses, with such detail.