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2026 年 5 月 13 日 星期三 · 数据截至 arXiv / ADS 最新收录日
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Gravitational-Wave Tomography of the Moon: Constraining Lunar Structure with Calibrated Gravitational Waves

Yan, Han, Harms, Jan

原文摘要Abstract

The recent success of gravitational-wave (GW) astronomy together with renewed plans for lunar geophysical instrumentation has revived interest in using the Moon as a resonant detector for midfrequency (mHz─Hz) GWs. In realistic observational scenarios, the GW strain amplitude is expected to be constrained independently by networks of GW detectors, which motivates an inverse, tomographic question: to what extent can measurements of the Moon's seismic response to known GWs be used to infer its internal structure? In this Letter, we develop a first-principles, perturbative framework that maps spherically symmetric perturbations of the elastic and density structure to measurable changes in observables, especially GW-driven modal amplitudes of the Moon. The formalism combines (i) a normal-mode representation of the elastic response, (ii) first-order perturbation theory for eigenvalues and eigenfunctions, and (iii) a linearized observation model that links frequency and amplitude observables to model parameters (bulk and shear moduli, density, and interface locations) and their perturbations. We show that the estimation errors of the Moon's elastic parameters can be reduced by about an order of magnitude with observations of calibrated GWs.

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月球引力波层析成像:利用校准引力波约束月球结构 · 本文构建了一个基于简正模和微扰论的框架,通过已知引力波激发的月球振动响应反演其内部弹性密度结构,并表明校准引力波观测可将弹性参数估计误差降低约一个数量级。

预印本 2026-05-13 · 刊出 2026-07-09 · 收录 2026-07-22