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The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields.
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Ref. MTW , Sec. 20.3
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The coordinates X , Y , Z X,Y,Z here have no relations to the Minkowski coordinates X , Y , Z X,Y,Z used in Refs. paperI ; eigenspec ; lineareigen
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That such a path is appropriate (i.e. , is a geodesic) is inherent in the helical symmetry that is assumed for the solution, and the form of the helical Killing vector given in Eq. ( 6
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