| 长距离海底路由里程计算与公里桩定位 |
| Long-Distance Submarine Route Mileage Calculation and Kilometer Post Positioning |
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| DOI：10.3969/j.issn.1003-2029.2026.03.003 |
| 中文关键词: 墨卡托投影 长距离海底路由 等角航线 里程计算 中点等分迭代法 |
| 英文关键词:Mercator Projection long-distance submarine routing rhumb line mileage calculation midpoint equal division iteration method |
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| 中文摘要: |
| 为解决墨卡托投影下长距离海底路由里程计算与公里桩定位的技术难题，本文基于等角航线反解算法，结合渐长纬度差与子午线弧长计算，构建多拐点路由分段里程累加模型，实现路由里程的精准计算;基于投影平面坐标提出中点等分迭代法，整合墨卡托投影正反算与等角航线反解算法，简化传统算法复杂迭代流程，经算例验证，当迭代收敛阈值取0.0001m时，该方法与传统算法的点位间距最大0.0003m，偏差可忽略不计。研究成果适用于长距离海底路由工程，还可为其他对长度和位置变形敏感的长距离线性工程提供技术参考，算法具有实用与借鉴价值。 |
| 英文摘要: |
| To address the technical challenges of mileage calculation and kilometer post positioning for long-distance submarine routes under the Mercator projection, this paper establishes a segmental mileage accumulation model for multi-inflection-point routes based on the rhumb line inverse algorithm, combined with the calculation of the difference of meridional parts and meridian arc length, thereby achieving accurate calculation of route mileage. Based on projected plane coordinates, a midpoint equal division iteration method is proposed. By integrating the forward and inverse calculations of the Mercator projection with the rhumb line inverse algorithm, the complex iterative process of traditional algorithms is simplified. Case study verification shows that when the iterative convergence threshold is set to 0.000 1 m, the maximum point spacing between this method and the traditional algorithm is 0.000 3 m, and the deviation is negligible. The research results are applicable to long -distance submarine route engineering, and can also provide technical references for other long-distance linear projects sensitive to length and position deformation, indicating that the algorithm has practical and referential value. |
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