ABSTRACT We study large-scale movement on the surface of the earth that is recorded at discrete moments in time and are interested in the uncertainty between recorded locations. Hereto, we define and study space-time prisms for movement on the surface of the earth (modelled as a sphere). We give description of these prisms and their spatial projection onto the sphere (the so-called ‘potential path area’) with respect to spherical coordinates, given by latitude and longitude, and Cartesian coordinates. We also study space-time prisms and their spatial projections on the Mercator map projection. Finally, we show how these concepts can be applied to intercontinental movement. Possible applications include the flight of birds during the migration seasons, the trail of sea or land mammals over longer periods of time and the path of adrift containers on the oceans.

中文翻译：

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球体上的时空棱镜在长距离运动中的应用

摘要 我们研究在离散时刻记录的地球表面大规模运动，并对记录位置之间的不确定性感兴趣。在此，我们定义和研究用于地球表面运动的时空棱镜（建模为球体）。我们根据由纬度和经度和笛卡尔坐标给出的球坐标来描述这些棱镜及其在球体（所谓的“潜在路径区域”）上的空间投影。我们还研究了时空棱镜及其在墨卡托地图投影上的空间投影。最后，我们将展示如何将这些概念应用于洲际运动。可能的应用包括鸟类在迁徙季节的飞行，