ellipsoid of revolution

简明释义

旋转椭球体

英英释义

例句

1.An ellipsoid of revolution helps to explain the variations in gravitational force experienced on Earth's surface, or 旋转椭球体。

一个旋转椭球体有助于解释地球表面经历的重力变化。

2.When designing satellites, engineers must consider the Earth's ellipsoid of revolution to ensure accurate positioning, or 旋转椭球体。

在设计卫星时，工程师必须考虑地球的旋转椭球体以确保准确定位。

3.The Earth can be modeled as an ellipsoid of revolution, which is a 旋转椭球体 that simplifies calculations in geodesy.

地球可以被建模为一个旋转椭球体，这在大地测量中简化了计算。

4.The mathematical equations governing the surface of an ellipsoid of revolution are essential for many applications in astronomy, or 旋转椭球体。

控制旋转椭球体表面的数学方程对于许多天文学应用至关重要。

5.In physics, the shape of certain celestial bodies can often be approximated by an ellipsoid of revolution, or 旋转椭球体.

在物理学中，某些天体的形状通常可以用旋转椭球体来近似。

作文

The concept of an ellipsoid of revolution is fundamental in understanding the shape of various celestial bodies and the physical principles that govern them. An ellipsoid of revolution is a three-dimensional geometric figure that is generated by rotating an ellipse about one of its principal axes. This shape is characterized by its symmetry and is commonly used to model objects like planets, stars, and even some artificial satellites. The Earth itself is often approximated as an ellipsoid of revolution, which helps scientists and engineers in various fields, including geodesy and astronomy, to make accurate calculations regarding distances, areas, and volumes on its surface.Understanding the ellipsoid of revolution requires a basic grasp of geometry. An ellipse is defined as the set of points for which the sum of the distances to two fixed points, known as foci, is constant. When this ellipse is rotated around one of its axes, it creates the ellipsoid of revolution. The two axes of the ellipsoid are referred to as the semi-major axis and the semi-minor axis. The length of the semi-major axis is greater than that of the semi-minor axis, which gives the ellipsoid its distinctive shape.In practical applications, the ellipsoid of revolution plays a crucial role in satellite navigation systems, such as GPS. These systems rely on precise measurements of distances between satellites and receivers on the Earth's surface. By modeling the Earth as an ellipsoid of revolution, these systems can provide accurate location data, which is essential for various applications ranging from mapping and surveying to autonomous vehicles.Moreover, the study of the ellipsoid of revolution extends beyond Earth. Other celestial bodies, such as Mars and Jupiter, also exhibit shapes that can be approximated by this geometric figure. Understanding the dimensions and characteristics of these ellipsoids allows astronomers to infer information about the internal structure and formation processes of these planets. For instance, the differences in the flattening of these bodies can provide insights into their rotational dynamics and thermal histories.In conclusion, the ellipsoid of revolution is not just a theoretical construct but a practical tool used across various scientific disciplines. Its significance in modeling the Earth and other celestial bodies cannot be overstated. As technology continues to advance, the applications of the ellipsoid of revolution will likely expand, leading to new discoveries and a deeper understanding of our universe. Whether in the context of navigation, astronomy, or earth sciences, the ellipsoid of revolution remains a vital element in the exploration and comprehension of both our planet and beyond.

旋转椭球体的概念在理解各种天体的形状以及支配它们的物理原理方面是基础。旋转椭球体是一个三维几何图形，通过围绕其一个主轴旋转椭圆生成。这个形状的特点是对称性，通常用于模拟行星、恒星甚至一些人造卫星。地球本身通常被近似为一个旋转椭球体，这帮助科学家和工程师在包括大地测量学和天文学在内的多个领域中进行准确的距离、面积和体积计算。理解旋转椭球体需要对几何学有基本的了解。椭圆被定义为一组点，对于这组点来说，到两个固定点（称为焦点）的距离之和是恒定的。当这个椭圆围绕其一个轴旋转时，就形成了旋转椭球体。椭球体的两个轴被称为半长轴和半短轴。半长轴的长度大于半短轴的长度，这赋予了椭球体其独特的形状。在实际应用中，旋转椭球体在卫星导航系统（如GPS）中发挥着关键作用。这些系统依赖于卫星与地球表面接收器之间距离的精确测量。通过将地球建模为旋转椭球体，这些系统能够提供准确的位置数据，这对于从制图和测量到自动驾驶汽车等各种应用都是必不可少的。此外，旋转椭球体的研究超越了地球。其他天体，如火星和木星，也表现出可以用这一几何图形来近似的形状。了解这些椭球体的尺寸和特征使天文学家能够推断有关这些行星的内部结构和形成过程的信息。例如，这些天体的扁平度差异可以提供有关它们旋转动力学和热历史的见解。总之，旋转椭球体不仅仅是一个理论构造，而是一个在各个科学学科中使用的实用工具。它在建模地球和其他天体方面的重要性不容小觑。随着技术的不断进步，旋转椭球体的应用可能会扩展，导致新的发现和对我们宇宙更深层次的理解。无论是在导航、天文学还是地球科学的背景下，旋转椭球体始终是探索和理解我们星球及其以外的重要元素。