arc distance

简明释义

弧距

英英释义

例句

1.In navigation, understanding the arc distance 弧长 helps in plotting the shortest path.

在导航中，理解arc distance 弧长有助于绘制最短路径。

2.The arc distance 弧长 between two points on the surface of the Earth can be calculated using their latitude and longitude.

地球表面两点之间的arc distance 弧长可以通过它们的经纬度进行计算。

3.To measure the arc distance 弧长 on a map, you can use a piece of string to follow the curve.

要在地图上测量arc distance 弧长，可以用一根绳子沿着曲线进行测量。

4.When planning a flight route, pilots must consider the arc distance 弧长 to ensure fuel efficiency.

在规划飞行路线时，飞行员必须考虑arc distance 弧长以确保燃油效率。

5.The arc distance 弧长 between two cities can vary depending on the curvature of the Earth.

两个城市之间的arc distance 弧长可能会因地球的曲率而有所不同。

作文

Understanding the concept of arc distance is essential in various fields, including geography, astronomy, and navigation. The term arc distance refers to the distance measured along the surface of a sphere or a curved path between two points. This measurement is particularly important when dealing with spherical shapes, such as the Earth, where the shortest path between two locations is not a straight line but rather follows the curvature of the sphere. To illustrate this, consider the example of two cities on a globe: New York and London. If one were to measure the distance between these two cities using a straight line through the Earth, it would not accurately represent the real-world distance that travelers experience when flying or sailing. Instead, the arc distance accounts for the Earth's curvature, providing a more accurate representation of how far apart these cities are in practical terms. The calculation of arc distance can be done using various formulas, one of which involves the haversine formula. This formula takes into account the latitude and longitude of both points and calculates the distance based on the radius of the Earth. By applying this formula, one can determine the arc distance between any two points on the globe, allowing for better planning in travel and logistics.In addition to its practical applications in travel, arc distance also plays a crucial role in astronomy. When astronomers study celestial bodies, they often need to calculate the arc distance between stars or planets to understand their positions relative to one another. This is vital for navigation in space missions and for predicting the movement of these celestial objects over time.Furthermore, the concept of arc distance extends beyond Earth and outer space; it is also applicable in various engineering fields. For instance, when designing roads or railways that follow the curvature of the Earth, engineers must consider the arc distance to ensure safety and efficiency. Ignoring the curvature could lead to significant errors in construction and planning.In conclusion, the understanding of arc distance is not merely an academic exercise; it has real-world implications in navigation, astronomy, and engineering. Recognizing that distances on a sphere are not linear but rather curved paths helps us to navigate our world more effectively. Whether planning a trip across the ocean or launching a spacecraft, the concept of arc distance is fundamental to achieving accuracy and efficiency. As our world becomes increasingly interconnected, mastering such concepts will be vital for future generations who seek to explore and understand the complexities of our planet and beyond.

理解弧长的概念在地理、天文学和导航等多个领域中至关重要。术语弧长指的是沿着球体或曲线路径在两个点之间测量的距离。这种测量在处理球形物体（例如地球）时尤为重要，因为两个位置之间的最短路径不是直线，而是沿着球体的曲率进行的。为了说明这一点，可以考虑一个例子：纽约和伦敦这两个城市。如果人们通过地球内部测量这两个城市之间的距离，这并不能准确代表旅行者在飞行或航行时所经历的实际距离。相反，弧长考虑了地球的曲率，提供了更准确的城市间距离的实际表示。弧长的计算可以通过多种公式进行，其中之一是哈弗辛公式。该公式考虑了两个点的经纬度，并根据地球的半径计算距离。通过应用该公式，人们可以确定地球上任意两点之间的弧长，从而更好地进行旅行和物流规划。除了在旅行中的实际应用外，弧长在天文学中也起着至关重要的作用。当天文学家研究天体时，他们常常需要计算星星或行星之间的弧长，以了解它们相对彼此的位置。这对于太空任务的导航以及预测这些天体随时间的运动至关重要。此外，弧长的概念不仅限于地球和外太空；它在各种工程领域中也适用。例如，在设计遵循地球曲率的公路或铁路时，工程师必须考虑弧长以确保安全和效率。忽视曲率可能会导致建设和规划中的重大错误。总之，理解弧长的概念不仅仅是学术练习；它在导航、天文学和工程中具有现实世界的影响。认识到球体上的距离不是线性的，而是曲线路径，有助于我们更有效地导航我们的世界。无论是规划跨洋旅行还是发射航天器，弧长的概念都是实现准确性和效率的基础。随着我们的世界变得越来越互联，掌握这样的概念对于未来希望探索和理解我们星球及其外部复杂性的一代人来说将至关重要。