Abstract
Based on the observations of 30 deep low-mass ratio overcontact binaries, some important results were discovered as follows: (1) The relationships of M-L and M-R imply that due to its evolution and expansion the luminosity of this kind of binary decreases and its radius increases, which suggests that it is in the final stage of its evolution. (2) The relationship between M total and J total shows when the mass ratio decreases, the total angular momentum per mass also correspondingly decreases. Therefore, the mass and angular momentum for this kind of binaries are continuously lossing in the process from the contact configuration to the merged configuration. (3) From the relationships of q-f and q-J spin/ J orb, the minimum mass-ratio for the overcontact binary may be determined as 0.0439?0.0465. It is a key challenge for us to bring forward the evoluionary theory and the merged mechanism of the binary. The observed minimum mass-ratio binary is V857 Her up to now. The merged timescale is around 1.07 Ga through the conservated mass transfer from the more massive component to the less massive one.
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