Parameter distribution of small periodic librations about the equilateral points of the elliptic restricted problem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Parameter distribution of small periodic librations about the equilateral points of the elliptic restricted problem

Authors:	Eugene Rabe

Institution:	(1) University of Cincinnati Observatory, Cincinnati, Ohio, USA

Abstract:	As previously shown (Rabe, 1970), two classes of small periodic librations exist, in the plane, elliptic restricted problem, for an infinite sequence of easily specified oscillation frequenciesZ _j. The present paper considers the dependence ofZ on the eccentricitye of the primary motion, in addition to its dependence on the mass parameter , and determines the resulting relations between ande, for any given periodic frequencyZ _j. These relationships are obtained from the conditionD (Z _j,, e)=0, where the basic determinantD has been expanded up to terms of orderZ ²⁰, ⁵, ande ⁴.Presented at the Conference on Celestial Mechanics, Oberwolfach, Germany, August 27–September 2, 1972.

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