2006Journal of Huaiyin Institute of TechnologyRequires access

Four-body Central Configuration of Parallelogram

Wen Shu

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Abstract

In this paper,we discuss category about planar central configuration of four-body problems by using algebra method,and draw some new conclusions:for the positive mass points,the central configuration of parallelogram must be rhombus or square;for the arbitrary none-zero mass points,parallelogram is the central configuration if it satisfies θ∈(0.97578,0.97579).

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In this paper,we discuss category about planar central configuration of four-body problems by using algebra method,and draw some new conclusions:for the positive mass points,the central configuration of parallelogram must be rhombus or square;for the arbitrary none-zero mass points,parallelogram is the central configuration if it satisfies θ∈(0.97578,0.97579).

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Available abstract

In this paper,we discuss category about planar central configuration of four-body problems by using algebra method,and draw some new conclusions:for the positive mass points,the central configuration of parallelogram must be rhombus or square;for the arbitrary none-zero mass points,parallelogram is the central configuration if it satisfies θ∈(0.97578,0.97579).

Key concepts: Parallelogram, Rhombus, Mathematics, Planar, Square (algebra), Zero (linguistics), Geometry, Physics

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