2020-2021:teams:alchemist:hardict:haversine_formula
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2020-2021:teams:alchemist:hardict:haversine_formula [2020/07/31 11:17] hardict 创建 |
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| - | ### 利用经纬度求解两点球面距离 | + | ===== Haversine formula ===== |
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| - | --- | + | |
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| - | #### Haversine formula | + | |
| $h(\theta)=sin^2(\frac{\theta}{2})=\frac{1-cos(\theta)}{2}$ | $h(\theta)=sin^2(\frac{\theta}{2})=\frac{1-cos(\theta)}{2}$ | ||
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| - 计算时可进一步化解：$cos(\theta)=sin(\beta_1)sin(\beta_2)+cos(\beta_1)cos(\beta_2)cos(\Delta \alpha)$ | - 计算时可进一步化解：$cos(\theta)=sin(\beta_1)sin(\beta_2)+cos(\beta_1)cos(\beta_2)cos(\Delta \alpha)$ | ||
| - |  | + | {{:2020-2021:teams:alchemist:haversine_formula_sphere.jpg?400|}} |
| 这里求$\overset{\frown}{AB}$，显然求得$|AB|$即可 | 这里求$\overset{\frown}{AB}$，显然求得$|AB|$即可 | ||
2020-2021/teams/alchemist/hardict/haversine_formula.1596165423.txt.gz · 最后更改: 2020/07/31 11:17 由 hardict
