研究報告

標題 三體問題環境中採用雷射光推進之宇航器航行軌跡探討
學年 100
學期 1
出版(發表)日期 2011/08/01
作品名稱 三體問題環境中採用雷射光推進之宇航器航行軌跡探討
作品名稱(其他語言) Trajectory of Spacecraft with Photonic Laser Propulsive System in Three Body Problem
著者 蕭富元
單位 淡江大學航空太空工程學系
描述 計畫編號:NSC100-2221-E032-022
 研究期間:20110801~20120731
 研究經費:417,000
委託單位 行政院國家科學委員會
摘要 This project analyzes the trajectory of spacecraft propelled by the photonic laser propulsive (PLP) system under the assumption of three body problem. Since the beginning of the 20th century, the utilization of photonic momentum to propel spacecraft has been proposed. There are two main streams discussing how to apply the photonic momentum to space traveling, the solar sail and the PLP. However, most scientists devoted themselves to the PLP system itself and neglect the influences of PLP system to the trajectory of the spacecraft. Consequently, in this project I would like to investigate how a PLP system affects the trajectory of spacecraft under the assumption of three body problem. In detail, based on our primary investigation, this project is going to discuss how to describe the trajectory of a spacecraft propelled by the PLP system under the assumption of three body problem, and what constraints this problem has. According to previous research, the PLP system can be modeled as a central force. Consequently, the methodologies, including Jacobi Integra and zero-velocity surface, are applicable to this problem. We can also apply Gauss Equations to study a specific trajectory and the variation of orbit elements. The potential contribution of this project is to offer a faster interplanetary travel in the future.;本計畫主要探討三體問題中,利用雷射光推進的宇航器其軌跡為何。自二十世紀初,便有許多科學提出利用光子的動量來做為推進能源。近年來,對於此項技術大致分為兩大主流:一個是利用太陽光的太陽帆系統;另一個是採用雷射光束的雷射光推進系統。但許多科學家致力於研究雷射光推進系統本身,而忽略此推進系統對於太空船軌跡的影響,故本計畫將討論在三體問題中,採用此推進系統會對太空船的軌跡有何影響。 更精確的說,本計畫將奠基於本研究室之前的研究成果之上,討論一宇航器在三體問題的假設下,採用雷射光推進器,要如何描述其軌跡,以及有何限制。由之前的研究發現,雷射光推進系統亦可模擬成一中心力場,並引進Jacobi Integral及零速度曲面(zero-velocity surface)等分析法;對於軌跡及旅行時間等參數,也可利用Gauss Equations去進行分析。本計畫之研究成果,將可提供未來人類星際旅行時,更便捷及快速的旅程。
關鍵字 雷射光推進器; 三體問題; 天體力學; 太空船(宇航器)
語言 中文