Sander Goossens, Isamu Matsuyama, Gael Cascioli, Erwan Mazarico
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Lunar laser ranging has provided measurements for <span></span><math>\n <semantics>\n <mrow>\n <mi>Q</mi>\n </mrow>\n <annotation> $Q$</annotation>\n </semantics></math>, but so far no frequency-dependent values for <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>k</mi>\n <mn>2</mn>\n </msub>\n </mrow>\n <annotation> ${k}_{2}$</annotation>\n </semantics></math> have been determined. We provide the first spacecraft measurements of <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>k</mi>\n <mn>2</mn>\n </msub>\n </mrow>\n <annotation> ${k}_{2}$</annotation>\n </semantics></math> and <span></span><math>\n <semantics>\n <mrow>\n <mi>Q</mi>\n </mrow>\n <annotation> $Q$</annotation>\n </semantics></math> at two frequencies, monthly and yearly, from an analysis of Gravity Recovery and Interior Laboratory and Lunar Reconnaissance Orbiter radio tracking data. Interior modeling indicates that these values can be matched only with a low-viscosity zone at the base of the lunar mantle, even when using complex rheological laws to model the mantle's response. The existence of this zone has profound implications for the Moon's thermal state and evolution.</p>","PeriodicalId":100067,"journal":{"name":"AGU Advances","volume":"5 5","pages":""},"PeriodicalIF":8.3000,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1029/2024AV001285","citationCount":"0","resultStr":"{\"title\":\"A Low-Viscosity Lower Lunar Mantle Implied by Measured Monthly and Yearly Tides\",\"authors\":\"Sander Goossens, Isamu Matsuyama, Gael Cascioli, Erwan Mazarico\",\"doi\":\"10.1029/2024AV001285\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The Moon's frequency-dependent tidal response, expressed as temporal variations in its gravity field through the Love number <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mi>k</mi>\\n <mn>2</mn>\\n </msub>\\n </mrow>\\n <annotation> ${k}_{2}$</annotation>\\n </semantics></math> and as dissipation through the quality factor <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>Q</mi>\\n </mrow>\\n <annotation> $Q$</annotation>\\n </semantics></math>, provides information about its interior structure. Lunar laser ranging has provided measurements for <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>Q</mi>\\n </mrow>\\n <annotation> $Q$</annotation>\\n </semantics></math>, but so far no frequency-dependent values for <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mi>k</mi>\\n <mn>2</mn>\\n </msub>\\n </mrow>\\n <annotation> ${k}_{2}$</annotation>\\n </semantics></math> have been determined. We provide the first spacecraft measurements of <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mi>k</mi>\\n <mn>2</mn>\\n </msub>\\n </mrow>\\n <annotation> ${k}_{2}$</annotation>\\n </semantics></math> and <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>Q</mi>\\n </mrow>\\n <annotation> $Q$</annotation>\\n </semantics></math> at two frequencies, monthly and yearly, from an analysis of Gravity Recovery and Interior Laboratory and Lunar Reconnaissance Orbiter radio tracking data. Interior modeling indicates that these values can be matched only with a low-viscosity zone at the base of the lunar mantle, even when using complex rheological laws to model the mantle's response. 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引用次数: 0
摘要
月球随频率变化的潮汐响应，通过爱数 k 2 ${k}_{2}$ 和质量因子 Q $Q$ 表示为月球引力场的时间变化，提供了月球内部结构的信息。月球激光测距提供了 Q $Q$ 的测量值，但迄今为止尚未确定 k 2 ${k}_{2}$ 的频率相关值。我们通过对重力恢复和内部实验室以及月球勘测轨道器无线电跟踪数据的分析，首次提供了每月和每年两种频率下的 k 2 ${k}_{2}$ 和 Q $Q$ 的航天器测量值。内部建模表明，这些数值只能与月球地幔底部的低粘度区相匹配，即使使用复杂的流变学定律来模拟地幔的响应也是如此。这一区域的存在对月球的热状态和演变有着深远的影响。
A Low-Viscosity Lower Lunar Mantle Implied by Measured Monthly and Yearly Tides
The Moon's frequency-dependent tidal response, expressed as temporal variations in its gravity field through the Love number and as dissipation through the quality factor , provides information about its interior structure. Lunar laser ranging has provided measurements for , but so far no frequency-dependent values for have been determined. We provide the first spacecraft measurements of and at two frequencies, monthly and yearly, from an analysis of Gravity Recovery and Interior Laboratory and Lunar Reconnaissance Orbiter radio tracking data. Interior modeling indicates that these values can be matched only with a low-viscosity zone at the base of the lunar mantle, even when using complex rheological laws to model the mantle's response. The existence of this zone has profound implications for the Moon's thermal state and evolution.
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