The recent development of highly sophisticated and accurate three-body wavefunctions has led to renewed interest in the muon capture process μ − + 3 He → ν μ + 3 He since it may now be possible to remove nuclear uncertainties and extract the induced pseudoscalar coupling g p with nearly the same precision as from capture by the free proton. With this aim, we examine this process from two points of view. First using the elementary particle model (EPM), which uses empirical information from electron scattering and beta decay to evaluate the form factors, we calculate the rate and various analyzing powers and show quantitatively that the analyzing powers are more sensitive than the rate to g p. Secondly we use the impulse approximation (IA), where the new wave functions allow extremely accurate evaluations of the nuclear matrix elements, to calculate these same quantities in a microscopic way. For the rate we find in EPM 1497 s − which is in reasonable agreement with experiment. In IA the rate is 1304s −1 which is somewhat low. More detailed examination shows that this results from missing magnetic strength, and suggests that meson exchange currents may be significant. Numerical results are given also for the various analyzing powers.