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⚛️ 约化质量Reduced Mass Calculator
两体问题约化质量 μ = m₁ m₂ / (m₁ + m₂)，使相对运动等价于质量 μ 绕固定中心的运动。本地处理。Two-body reduced mass μ = m₁ m₂ / (m₁ + m₂), so relative motion equals mass μ orbiting a fixed centre. Processed locally.
使用说明与常见问题How-to & FAQ
「约化质量」是什么？What is the Reduced Mass Calculator tool?
两体问题约化质量 μ = m₁ m₂ / (m₁ + m₂)，使相对运动等价于质量 μ 绕固定中心的运动。本地处理。Two-body reduced mass μ = m₁ m₂ / (m₁ + m₂), so relative motion equals mass μ orbiting a fixed centre. Processed locally.
如何使用「约化质量」？How do I use the Reduced Mass Calculator tool?
填写两个物体的质量 m₁ 和 m₂，即可得到约化质量 μ = m₁m₂ ÷ (m₁ + m₂)。结果会随输入实时更新。Enter the two masses m₁ and m₂ to get the reduced mass μ = m₁m₂ ÷ (m₁ + m₂). The result updates as you type.
氢原子？Hydrogen atom?
电子相对质子：μ ≈ 0.9995 mₑ，使里德伯常量略小于用 mₑ 算出的值。Electron vs proton: μ ≈ 0.9995 mₑ, which is why the Rydberg constant is slightly below the pure-electron value.
计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?
「约化质量」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Reduced Mass Calculator uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.
「约化质量」免费吗？需要注册吗？Is the Reduced Mass Calculator free? Do I need an account?
「约化质量」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Reduced Mass Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.