Auroral particle precipitation is the main source of ionization on the nightside, making it a critical factor in geospace physics. This magnetosphere‐ionosphere linkage directly contributes to, even controls, the nonlinear feedback within this coupled system. One study has dominated our understanding of this connection, presenting a pair of equations relating auroral particle precipitation to ionospheric Pedersen and Hall conductance, the famous Robinson formulas. This Commentary examines the history of the development and usage of the Robinson formulas and the recent studies exploring corrections and expansions to it. The conclusion is that more work needs to be done; the space physics research community should take up the task to develop improvements and enhancements to better quantify the connection of auroral precipitation to ionospheric conductance.

中文翻译：

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改善鲁滨逊公式的案例

极光粒子降水是夜间电离的主要来源，使其成为地球空间物理学中的关键因素。磁层-电离层的这种联系直接有助于甚至控制该耦合系统内的非线性反馈。一项研究主导了我们对这种联系的理解，提出了将极光颗粒降水与电离层Pedersen和Hall电导相关的一对方程，这是著名的Robinson公式。本评论介绍了鲁滨逊公式的开发和使用历史以及最近的研究，探讨了对该公式的更正和扩展。结论是还需要做更多的工作。