本論文首先應用分離流兩側壓力連續與轉折角相等的條件推導出理想氣體穩態馬赫反射流場在前後分界條件與馮努曼條件下之理論公式。隨後本文有系統地探討三原子分子理想氣體 (r=1.2857) 穩態馬赫反射三震波十階多項式理論之多重解 (m值) 及其對應之壓力-轉折角震波極圖解，並建構出此三原子分子理想氣體穩態馬赫反射流場三震波十階多項式理論解於 (Mo,θ1) 平面上之多重解域圖，其中 Mo為入射震波上游流場馬赫數，θ1 為入射震波下游流場轉折角。論文中有系統地分析此多重解域圖中主要影響m值變化的各不同曲線與討論其對應各不同解域之不同性質的多重解的結果如下： Triple-root (Branch I) 三重根曲線區隔了 m=0與 m=1的解域；Triple-root (Branch II) 三重根曲線在 Mo 小於2.4069時，區隔了 m=3與 m=2的解域，其在 Mo 大於2.4069時則區隔了 m=1與 m=2的解域；Mo 小於2.4069之B1=B2 雙解曲線與 a1=B2雙解迴路曲線之下方迴路區隔了m =1與 m=3的解域；Mo 大於2.4069之a1=B2 雙解迴路曲線則區隔了相同的 m=1的解域 (也就是不影響 m值)。

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