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Time transfer and frequency shift to the order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>in the field of an axisymmetric rotating body
Within the weak-field, post-Newtonian approximation of the metric theories of gravity, we determine the one-way time transfer up to the order ${1/c}^{4},$ the unperturbed term being of order $1/c,$ and the frequency shift up to the order ${1/c}^{4}.$ We adapt the method of the world function developed by Synge to …