• 作者： 孫方鐸
• 作者服務機構： 國立清華大學
• 中文摘要： 本文對朗布特問題根據等時彈道原理提供一項化圓錐彈道為直線之新解法。朗氏公式之傳統形式經用於直線彈道即化為簡單而對稱之形式，遠較其原式為便，而透過「等時」與「等能」之關係此等簡式及由此誘導而得之結果對於一般朗氏問題均可適用。吾人即以此解法及此等簡式為依據，對朗氏問題之「解答族」加以分析與檢討，尤特別注意其多重解答之可能性，並建立一套「判別準則」使吾人在求解之先，按照已知之條件與數據以判斷其不同解答之個數及由此等解答所得彈道之型別。根據此項準則吾人特提出以「迭代法」求朗氏問題數值解之步驟，並舉一數值例題，附於文末，以供參考。
• 英文摘要： A new approach to the solution of Lambert problem by reducing it torectilinear flight, based on the principle of orbital isochronism, is introducedand the method of solution is outlined and illustrated. For the applicationof this method, the elassical Lambert equations are reduced to simple andsymmetric forms for the rectilinear cases, which, through the isochronousand isoenergetic relations, are applicable to the Lambert problem in general.In the light of this method the family of solutions is studied, with par-ticular attention directed to the nonuniqueness of the solution in the ellipticcase when multi-circuit is allowed, and a set of criteria is established sothat the number and nature of the solution paths may be determined be-fore the problem is actually solved. With the help of such criteria an it-erative procedure for the solution is suggested.
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