Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Optimal Earth-Moon Trajectory Design using Constant and Variable Low Thrust

등저추력과 가변저추력을 이용한 지구-달 천이궤적 설계

  • Published : 2009.09.01
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Abstract

For preparing Korean lunar missions, optimal Earth-Moon transfer trajectory is designed using continuous low thrust. Using both constant and variable low thrusting method, "End-to-End" mission analysis is made from beginning of the Earth departure to the final lunar arrival. Spacecraft's equations of motion is expressed using N-body dynamics including the gravitational effects due to the Earth, Moon, Sun and also with Earth's $J_2$ effects. Planets' exact locations are computed accurately with JPL's DE405 ephemeris. As a results, optimal thrust steering angle's characteristics are discovered which showed almost tangential direction burns at the near of central planets. Also, it is confirmed that variable low thrusting method is more efficient than constant thrusting method, and can save about 5% of fuel consumption. Presented algorithm and various results will give numerous insights into the future Korea's Lunar missions using low thrust engines. Also, it is expected to be used as a basis of more detailed mission analyzing tool.

우리나라의 달탐사를 위하여, 저추력을 이용한 최적의 지구-달 천이궤적 설계를 진행하였다. 탐사선의 추력 형태는 등저추력과 가변저추력 모두를 적용하였으며 각각에 대한 탐사선의 지구 출발부터 달 포획에 이르는 전반적인 모든 단계에 대한 비행 궤적이 설계되었다. 보다 실질적인 우주 환경의 모사를 위하여 행성의 정밀 위치는 JPL의 정밀 천체력인 DE405 천체력을 이용하였으며 지구, 달, 태양의 중력에 의한 섭동과 지구 $J_2$항에 의한 영향을 포함한 N-체의 동력학 방정식이 사용되었다. 탐사선이 지구 근처에 있을 때, 추력의 방향각은 항상 거리의 접선방향이고, 가변저추력을 이용한 경우가 등저추력을 이용한 경우보다 연료를 약 5% 정도 더 절감할 수 있음을 확인하였다. 본 연구에서 구현 및 제시된 저추력을 이용한 최적의 달 탐사 임무 설계 알고리즘과 그 결과는 미래 한국의 달 탐사를 대비하는데 있어서 많은 사전 지식을 제공할 것이며 장차 심화된 임무 설계를 위한 알고리즘의 기반으로 사용될 수 있다.

Keywords

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