hyperbolic position fixing system

简明释义

双曲线定位系统

英英释义

例句

1.The ship's navigation relies on the hyperbolic position fixing system to determine its exact location.

这艘船的导航依赖于双曲线定位系统来确定其确切位置。

2.The hyperbolic position fixing system has improved maritime safety by providing precise coordinates.

通过提供精确坐标，双曲线定位系统提高了海洋安全性。

3.In aviation, the hyperbolic position fixing system is essential for air traffic control.

在航空领域，双曲线定位系统对空中交通管制至关重要。

4.The research team implemented a hyperbolic position fixing system to enhance their geological mapping.

研究团队实施了双曲线定位系统以增强他们的地质测绘。

5.Using a hyperbolic position fixing system, pilots can accurately navigate through challenging weather conditions.

使用双曲线定位系统，飞行员可以在复杂的天气条件下进行准确导航。

作文

In the realm of navigation and geolocation, the term hyperbolic position fixing system refers to a sophisticated method used to determine precise locations based on the principles of hyperbolic geometry. This system has played a pivotal role in various applications, ranging from maritime navigation to aviation and even in modern GPS technology. Understanding how a hyperbolic position fixing system operates requires a grasp of some fundamental concepts in geometry and signal processing.The basic idea behind a hyperbolic position fixing system is to utilize the difference in distances from two or more known points to a receiver to establish its location. By measuring the time it takes for a signal to travel from a transmitter to a receiver, one can calculate the distance between them. When two or more transmitters are involved, the intersection of these distance measurements creates hyperbolas on a map, hence the name of the system. The point where these hyperbolas intersect is the exact position of the receiver.Historically, this method was essential for navigation before the advent of satellite systems. For instance, during the early 20th century, radio signals were used to implement hyperbolic position fixing systems in maritime navigation. Ships equipped with radio receivers could determine their position by triangulating signals from coastal radio stations. This greatly improved the safety and accuracy of maritime travel, allowing vessels to navigate through treacherous waters with greater confidence.In aviation, the hyperbolic position fixing system has also been instrumental. Early aircraft relied on similar systems to ensure they remained on course and avoided collisions. As technology advanced, these systems evolved into more complex forms, including the development of LORAN (Long Range Navigation), which utilized low-frequency radio signals for position determination. LORAN systems were particularly effective during World War II and continued to be used until they were largely replaced by GPS technology.Today, while we often think of GPS as the ultimate solution for positioning, the principles of a hyperbolic position fixing system still underpin many aspects of modern navigation. GPS satellites transmit signals that allow receivers to calculate their position based on the time delay of the signals received from multiple satellites. This process, while more advanced, still relies on the fundamental concept of measuring distances based on time, akin to the original hyperbolic systems.Moreover, the applications of hyperbolic position fixing systems extend beyond traditional navigation. In fields such as surveying, geology, and even telecommunications, understanding the positioning mechanics can lead to significant advancements in technology and efficiency. For example, in surveying, accurate positioning is crucial for mapping and construction projects, and the principles of hyperbolic positioning can enhance the precision of these tasks.In conclusion, the hyperbolic position fixing system is a remarkable example of how mathematical principles can be applied to solve real-world problems. Its evolution from early navigation methods to modern GPS technology illustrates the importance of understanding geometric concepts in practical applications. As technology continues to advance, the legacy of the hyperbolic position fixing system will undoubtedly remain a foundational element in the field of navigation and beyond.

在导航和地理定位领域，术语超曲面定位系统指的是一种复杂的方法，用于根据超曲面几何的原理确定精确位置。该系统在各种应用中发挥了关键作用，从海洋导航到航空，甚至在现代GPS技术中。理解超曲面定位系统的工作原理需要掌握一些几何和信号处理的基本概念。超曲面定位系统的基本思想是利用接收器与两个或多个已知点之间距离的差异来建立其位置。通过测量信号从发射器传输到接收器所需的时间，可以计算出它们之间的距离。当涉及到两个或多个发射器时，这些距离测量的交集在地图上形成超曲线，因此得名。当这些超曲线相交的点就是接收器的确切位置。历史上，这种方法在卫星系统出现之前对导航至关重要。例如，在20世纪初，使用无线电信号实施超曲面定位系统进行海洋导航。配备无线电接收器的船只可以通过三角测量沿海无线电台的信号来确定其位置。这大大提高了海洋旅行的安全性和准确性，使船只能够更自信地航行通过危险水域。在航空领域，超曲面定位系统也发挥了重要作用。早期飞机依赖类似的系统以确保它们保持航向并避免碰撞。随着技术的进步，这些系统发展成更复杂的形式，包括LORAN（长距离导航）的开发，该系统利用低频无线电信号进行定位。在第二次世界大战期间，LORAN系统特别有效，并持续使用，直到它们在很大程度上被GPS技术取代。如今，虽然我们常常认为GPS是定位的终极解决方案，但超曲面定位系统的原理仍然支撑着现代导航的许多方面。GPS卫星发射信号，使接收器能够根据从多个卫星接收的信号延迟计算其位置。这个过程虽然更先进，但仍然依赖于基于时间测量距离的基本概念，与最初的超曲面系统类似。此外，超曲面定位系统的应用超出了传统导航。在测绘、地质学甚至电信等领域，理解定位机制可以带来技术和效率上的重大进步。例如，在测绘中，准确的定位对制图和建筑项目至关重要，而超曲面定位的原理可以增强这些任务的精确度。总之，超曲面定位系统是数学原理如何应用于解决现实问题的一个杰出例子。它从早期导航方法演变到现代GPS技术，展示了在实际应用中理解几何概念的重要性。随着技术的不断进步，超曲面定位系统的遗产无疑将继续作为导航及其他领域的基础元素。