一种带超导载流圆线的太阳帆
Solar sail with superconducting circular current-carrying wire
摘要：
背景资料：太阳帆是由一大片低面密度的薄膜构成，是未来探索太阳系及更远地区最优雅的无推进剂推进系统。到目前为止，帆膜展开策略的研究已经引起了相当大的关注。目标：在这项工作中，我们提出了圆形太阳帆的部署和伸展的想法。我们考虑了附着在薄膜上的超导电流回路，以开发一种新的太阳帆部署方法，并预测超导电流回路可以部署和拉伸圆形太阳帆膜。方法：在基于经典电动力学和弹性理论的严格数学框架内，分析了太阳帆薄膜和金属丝环的超导电流回路感应磁场和弹性特性。导出了超导导线中电流引起的导线和帆膜应力和应变的计算公式。结果：所得到的解析表达式适用于各种太阳帆尺寸。本文对厚度为3.5 $μm$的CP 1膜与截面半径为0.5 ~ 10 mm的Bi $-$ 2212超导线材制成的半径为5 ~ 150 m的帆进行了数值计算。对100 A/mm $^{2}$至1000 A/mm $^{2}$的工程电流密度进行计算。结论：我们的计算表明，所提出的想法的太阳帆部署的未来探索深空的轻压力推进剂的装置的可行性。
英文摘要：
Background: A solar sail presents a large sheet of low areal density membrane and is the most elegant propellant-less propulsion system for the future exploration of the Solar System and beyond. By today the study on sail membrane deployment strategies has attracted considerable attention. Goal: In this work we present an idea of the deployment and stretching of the circular solar sail. We consider the superconducting current loop attached to the thin membrane %to develop a new (method) approach of deployment of a solar sail and and predict that a superconducting current loop can deploy and stretch the circular solar sail membrane. Method: In the framework of a strict mathematical approach based on the classical electrodynamics and theory of elasticity the magnetic field induced by the superconducting current loop and elastic properties of a circular solar sail membrane and wire loop are analyzed. The formulas for the wire and sail membrane stresses and strains caused by the current in the superconducting wire are derived. Results: The obtained analytical expressions can be applied to a wide range of solar sail sizes. Numerical calculations for the sail of radius of 5 m to 150 m made of CP1 membrane of the thickness of 3.5 $μm$ attached to Bi$-$2212 superconducting wire with the cross-section radius of 0.5 mm to 10 mm are presented. Calculations are performed for the engineering current densities of 100 A/mm$^{2}$ to 1000 A/mm$^{2}$. Conclusion: Our calculations demonstrate the feasibility of the proposed idea for the solar sail deployment for the future exploration of the deep space by means of the light pressure propellant.
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