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基于空间锁定测量的牛顿引力常数测定

Space-Based Lock-In Determination of Newton's Gravitational Constant

Ulrich D. Jentschura

arXiv 2609.09485首次发表:更新:

发表机构

Missouri University of Science and Technology(密苏里科技大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

提出结合无扰动环境、锁定技术、零坐标与协方差方法的优化空间方案,以测定牛顿引力常数,并分析任务参数及候选轨道位置。

AI 中文摘要

受近期一项开创性的基于空间的牛顿引力常数测量的启发,我们提出了一种优化的空间方法总体布局方案,该方案结合了基本无扰动环境的优势、锁定技术、零坐标以及协方差方法。协方差和互协方差方法用于对来自两个不同实验通道的数据进行优化统计分析。两个不同测量通道之一依赖于静态源质量引力场中的近似恒定加速度,而第二通道涉及基于测试质量和源质量具有振荡坐标的锁定测量。我们根据源质量的最优尺度以及当前可用空间发射系统的发射能力,分析了可行的任务参数。我们确定了地球静止轨道中一个基本无扰动位置的候选地点。

英文摘要

Inspired by a recent ground-breaking space-based measurement of Newton's gravitational constant, we outline a proposal for a general layout of an optimized space-based approach that combines the advantages of a largely disturbance-free environment with lock-in techniques, null coordinates and the method of covariances. The method of covariances, and cross-covariances, is used for an optimized statistical analysis of data originating from two distinct experimental channels. One of two distinct measurement channels relies on an approximately constant acceleration in the gravitational field of static sources masses, while the second channel involves a lock-in measurement based on test and source masses with oscillating coordinates. Conceivable mission parameters are analyzed in terms of the optimum scale for the source masses and launch capabilities of currently available space launch systems. A candidate location for a largely disturbance-free position in geostationary orbit is identified.

Comments44 pages; RevTeX

论文原文

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