great circle arc

简明释义

大圆弧

英英释义

A great circle arc is a segment of a great circle, which is the largest possible circle that can be drawn on the surface of a sphere, representing the shortest path between two points on that sphere.

大圆弧是一个大圆的部分,大圆是可以在球体表面绘制的最大圆,表示球面上两点之间的最短路径。

例句

1.When planning a flight from New York to Tokyo, pilots often choose the shortest route, which follows a great circle arc (大圆弧).

在规划从纽约到东京的航班时,飞行员通常选择最短的路线,这条路线遵循了一个great circle arc(大圆弧)。

2.The great circle arc (大圆弧) is crucial for understanding the shortest path between two points on the Earth's surface.

理解地球表面两点之间最短路径的关键是great circle arc(大圆弧)。

3.Sailing across the Pacific Ocean, the captain navigated using the great circle arc (大圆弧) to save fuel.

在横渡太平洋时,船长利用great circle arc(大圆弧)进行导航,以节省燃料。

4.In air traffic control, routes are often optimized along a great circle arc (大圆弧) to enhance efficiency.

在空中交通管制中,航线通常沿着great circle arc(大圆弧)优化,以提高效率。

5.Geographers use the concept of a great circle arc (大圆弧) to measure distances on a globe.

地理学家使用great circle arc(大圆弧)的概念来测量地球仪上的距离。

作文

The concept of a great circle arc is fundamental in the fields of geography and navigation. A great circle arc refers to the shortest path between two points on the surface of a sphere, which is crucial for air travel and maritime navigation. Understanding this concept can greatly enhance our comprehension of how distances are measured on Earth, especially when considering its spherical shape. When we look at a globe, we often see lines of latitude and longitude that help us locate places. However, these lines can sometimes be misleading when it comes to calculating the shortest distance between two locations. For instance, if you were to fly from New York City to Tokyo, one might assume that following a straight line on a flat map would be the most efficient route. In reality, the shortest distance would actually follow a great circle arc, which appears as a curved line on a flat map.To visualize a great circle arc, imagine slicing a globe in half through its center. The resulting circle represents a great circle, and any arc of this circle is a great circle arc. This principle is not only applicable to Earth but also to any spherical body, making it a universal concept in geometry. The significance of the great circle arc extends beyond mere navigation. It plays a vital role in various scientific disciplines, including astronomy and geodesy. For astronomers, understanding the great circle arc is essential when mapping the positions of celestial bodies. Similarly, geodesists use this knowledge to measure the Earth's shape and gravitational field more accurately. In aviation, pilots and airlines rely heavily on the great circle arc to optimize flight paths. By using this method, they can save time, fuel, and reduce carbon emissions, contributing to a more sustainable future for air travel. For example, many transcontinental flights take routes that may seem counterintuitive on a flat map, but in reality, they are following a great circle arc to reach their destinations more efficiently.Moreover, the great circle arc concept is also applied in the realm of telecommunications. Satellite communication systems must account for the curvature of the Earth when transmitting signals. By understanding how to calculate a great circle arc, engineers can design better networks that ensure consistent signal coverage across vast distances.In conclusion, the great circle arc is a crucial element in our understanding of geography, navigation, and various scientific fields. By grasping this concept, we can appreciate the complexities of our planet and the innovative ways we navigate and communicate across it. Whether we are pilots plotting a flight path or scientists studying the universe, the great circle arc proves to be an invaluable tool that enhances our ability to connect with the world around us.

“大圆弧”这一概念在地理和导航领域中是基础性的。“大圆弧”指的是球面上两点之间的最短路径,这对于航空旅行和海洋导航至关重要。理解这一概念可以极大地增强我们对地球上距离测量的理解,尤其是在考虑到地球的球形时。当我们查看地球仪时,常常会看到经纬线,这些线帮助我们定位地点。然而,当计算两个位置之间的最短距离时,这些线有时可能会产生误导。例如,如果你从纽约市飞往东京,人们可能会认为在平面地图上沿直线飞行是最有效的路线。实际上,最短的距离实际上是沿着一条“大圆弧”飞行,在平面地图上看起来是一条弯曲的线。要想象“大圆弧”,可以想象将地球仪从中心切成两半。结果形成的圆圈代表了一个“大圆”,而这个圆的任何弧线就是“大圆弧”。这一原理不仅适用于地球,也适用于任何球形物体,使其成为几何学中的普遍概念。“大圆弧”的重要性超出了简单的导航。它在多个科学学科中发挥着至关重要的作用,包括天文学和大地测量学。对于天文学家来说,理解“大圆弧”对于绘制天体的位置至关重要。同样,大地测量学家利用这一知识更准确地测量地球的形状和重力场。在航空领域,飞行员和航空公司在优化航线时严重依赖“大圆弧”。通过使用这种方法,他们可以节省时间、燃料,并减少碳排放,为航空旅行的可持续未来做出贡献。例如,许多跨洲际航班采取的路线在平面地图上看似不合逻辑,但实际上,它们是沿着一条“大圆弧”更有效地到达目的地。此外,“大圆弧”概念也应用于电信领域。卫星通信系统必须在传输信号时考虑地球的曲率。通过了解如何计算“大圆弧”,工程师可以设计更好的网络,以确保在广阔区域内的一致信号覆盖。总之,“大圆弧”是我们理解地理、导航以及各种科学领域的重要元素。通过掌握这一概念,我们可以欣赏到我们星球的复杂性以及我们在其上导航和沟通的创新方式。无论我们是飞行员规划航线,还是科学家研究宇宙,“大圆弧”都证明是一个无价的工具,增强了我们与周围世界的连接能力。

相关单词

arc

arc详解:怎么读、什么意思、用法