本文配合穩態馬赫反射流場三震波十次多重項式理論，有系統地探討三原子分子理想氣體 (r=1.2857 ) 擬似穩態馬赫反射流場三震波理論的多重解，及其於( Ms- θw) 平面上的多重解域，其中 Ms為入射震波馬赫數， θw為楔行斜平面角。我們首先在固定不同的 Ms情況下，變化 θw由0.01o到其超過馮努曼條件而進入逆馬赫反射止，計算分析( P − θ) 震波極圖上擬似穩態馬赫反射流場三震波理論之多重解暨其解行為的變化。本論文在此系列計算與分析的基礎上於( Ms- θw) 平面上建構此擬似穩態馬赫反射流場三震波理論的多重解域。本文主要有下列的結果(m為擬似穩態馬赫反射三震波多重解數目):
1、Wuest I三重根解曲線區隔了 m=0與 m=1的解域。
2、Wuest II 三重根解曲線在 Ms小於1.6914時，區隔了m =3與 m=2的解域，在 Ms大於1.6914時，區隔了m =1與 m=2的解域。
3、 B1=B2雙解曲線在Fall曲線左邊區隔了 m=1與 m=3的解域。
4、上述1-3的結果也就是說明了 m=3 ( a1， B1， B2) 係由於 B1=B2雙解曲線與Wuest II 三重根解曲線與 Ms= 0垂直軸所圍成的狹小的三邊形區域內。
5、 m=1的解域區分為兩個部分，當 Ms<Ms,fall 時其單解屬於 m=1 (a1 )， Ms>Ms,fall 時其單解屬於 m=1 ( B1)。
6、m =2的解域區分為兩個部分，當 Ms< Ms,fall時其雙解屬於m=2 ( a1、 B1)， Ms>Ms,fall時其雙解屬於 (B1 、B2 )。

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