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動(dòng)態(tài)環(huán)路法磁矩測(cè)量技術(shù)研究

Dynamic loop method for measuring the magnetic moment

  • 摘要: 文章提出了一種新的航天器磁矩測(cè)量方法——?jiǎng)討B(tài)環(huán)路法。首先,利用高斯電勢(shì)級(jí)數(shù)公式建立了航天器的磁性偶極-四極模型。然后,針對(duì)模型中的8個(gè)磁矩分量,基于動(dòng)態(tài)環(huán)路法的基本測(cè)量原理,設(shè)計(jì)了5組磁通感應(yīng)線圈;根據(jù)8個(gè)磁矩分量的磁感應(yīng)強(qiáng)度分布以及5組線圈的具體形狀和位置,給出了各磁矩分量的磁通量表達(dá)式和利用積分法計(jì)算各個(gè)磁矩分量的公式。最后,對(duì)在推導(dǎo)過(guò)程中由于簡(jiǎn)化帶來(lái)的近似誤差和利用積分法計(jì)算公式理論計(jì)算誤差進(jìn)行了初步分析。當(dāng)線圈間隔L為半徑r的5%時(shí),近似誤差和積分法理論計(jì)算誤差分別不超過(guò)2%和0.17%。結(jié)果表明,該方法不但能夠獲得航天器的磁矩大小并計(jì)算出其磁心坐標(biāo),而且還具有測(cè)量過(guò)程簡(jiǎn)單、測(cè)量速度較快以及測(cè)量精度高的優(yōu)點(diǎn)。

     

    Abstract: In this paper, a new method of measuring the spacecraft magnetic moment is proposed. Firstly, a new spacecraft magnetism model is established in the Gauss expressions. Secondly, based on the characteristics of the model, five groups of induction coils are designed, and the magnetic flux expressions of each magnetic moment components are obtained with related calculation formula. Finally, the error of the approximation produced in the derivation process of the magnetic flux expressions and the theoretical error produced when the integration is used to deal with the measurement data are analyzed. The results indicate that the dynamic loop methods not only can measure the magnetic moment and the magnetic center of spacecraft perfectly, but also has some advantages such as simple measurement process, faster measuring speed and better precision. The error of the approximation is not more than 2% and the theoretical error of integration is 0.17% when the value of L is equal to 5% of the radius of the coil.

     

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