深空探测学报
深空探測學報
심공탐측학보
Journal of Deep Space Exploration
2014年
3期
205-209
,共5页
李文潇%Alexander GUSEV%平劲松%张同杰
李文瀟%Alexander GUSEV%平勁鬆%張同傑
리문소%Alexander GUSEV%평경송%장동걸
月球天平动%解析方法%频率及周期%幅值
月毬天平動%解析方法%頻率及週期%幅值
월구천평동%해석방법%빈솔급주기%폭치
lunar librations%analytic methods%frequencies and periods%amplitude
根据 JPL/NASA 发布的月球行星历表 DE430/LE430提供的月球物理参数,计算了月球主转动惯量;使用刚体月球转动微分方程获得的月球物理天平动解析关系式,计算了不同分层模型的月球自由天平动三个模式的频率及周期,比较并讨论了不同的解析结果;在此基础上,评估了月球受迫天平动一个模式的幅度。
根據 JPL/NASA 髮佈的月毬行星歷錶 DE430/LE430提供的月毬物理參數,計算瞭月毬主轉動慣量;使用剛體月毬轉動微分方程穫得的月毬物理天平動解析關繫式,計算瞭不同分層模型的月毬自由天平動三箇模式的頻率及週期,比較併討論瞭不同的解析結果;在此基礎上,評估瞭月毬受迫天平動一箇模式的幅度。
근거 JPL/NASA 발포적월구행성력표 DE430/LE430제공적월구물리삼수,계산료월구주전동관량;사용강체월구전동미분방정획득적월구물리천평동해석관계식,계산료불동분층모형적월구자유천평동삼개모식적빈솔급주기,비교병토론료불동적해석결과;재차기출상,평고료월구수박천평동일개모식적폭도。
Based on the lunar physical parameters in ephemeris DE430/LE430 of JPL/NASA,we estimated the moments of inertia of the Moon.Using these values of moment of inertia,the frequencies and periods of lunar free librations in different modes have been calculated by solving the rotational differential equations of rigid Moon.We compared the results and discussed the analytic results of lunar librations.Meanwhile,we also estimated the forced librations by means of the amplitude of longitudinal part.For the further research,more analytic methods should be mixed into numerical results,and the interactions between two layers would be next objective.