### 拉格朗日点公式

$$
a = \frac{m2}{m1+m2}
$$
```
a = m2 / (m1 + m2)
```

$$
L1 = (R ⋅ (1 - \sqrt[3]{\frac{a}{3}} ) , 0)
$$
```
l1 = (r * (1 - pow(a / 3, 1 / 3)), 0)
```
$$
L2 = (R ⋅ (1 + \sqrt[3]{\frac{a}{3}} ) , 0)
$$
```
l2 = (r * (1 + pow(a / 3, 1 / 3)), 0)
```
$$
L3 = (-R ⋅ (1 + {\frac{5 ⋅ a}{12}} ) , 0)
$$
```
l3 = (-r * (1 + (5 * a) / 12), 0)
```
$$
L4 = (\frac{R}{2} ⋅ {\frac{m1-m2}{m1+m2}}  , \frac{\sqrt{3}}{2} ⋅R)
$$
```
l4 = ((r / 2) * ((m1 - m2) / (m1 + m2)), pow(3, 1 / 2) / 2 * r)
```
$$
L5 = (\frac{R}{2} ⋅ {\frac{m1-m2}{m1+m2}}  , -\frac{\sqrt{3}}{2} ⋅R)
$$
```
l5 = ((r / 2) * ((m1 - m2) / (m1 + m2)), -pow(3, 1 / 2) / 2 * r)
```