Gravitational waves cause a precession in a freely falling spinning object and a net change of orientation after the passage of the wave, dubbed as the gyroscopic memory. In this paper, we will consider isolated gravitational sources in the post-Newtonian framework and compute the gyroscopic precession and memory at leading post-Newtonian (PN) orders. We make a comparison between two competing contributions: the spin memory and the nonlinear helicity flux. At the level of the precession rate, the former is a 2PN oscillatory effect, while the latter is a 4PN adiabatic effect. However, the gyroscopic memory involves a time integration, which enhances subleading adiabatic effects by the fifth power of the velocity of light, leading to a 1.5PN memory effect. We explicitly compute the leading effects for a quasi-circular binary system and obtain the angular dependence of the memory on the celestial sphere.

Guillaume Faye

Ali Seraj

Classical and Quantum Gravity

CLASSICAL AND QUANTUM GRAVITY 是引力和时空理论领域的物理学家、数学家和宇宙学家的知名期刊。该杂志现在是公认的经典相对论和量子引力所有领域的世界领导者。

Classical and Quantum Gravity is a renowned journal in the field of gravity and spacetime theory, widely recognized by physicists, mathematicians, and cosmologists. The journal is acknowledged as a world leader in all areas of classical relativity and quantum gravity.

《Classical and Quantum Gravity》是引力和时空理论领域的知名期刊，受到物理学家、数学家和宇宙学家的广泛认可。该杂志被公认为经典相对论和量子引力各个领域的全球领导者。

Category	Quartile
物理与天体物理	3
物理与天体物理, 天文与天体物理	3
物理与天体物理, 物理综合	3
物理与天体物理, 物理粒子与场物理	4
物理与天体物理, 量子科技	4

Gyroscopic Gravitational Memory from quasi-circular binary systems

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