eccentric anomaly

简明释义

偏心象差

英英释义

例句

1.In orbital mechanics, the position of a body in an elliptical orbit can be described using the eccentric anomaly.

在轨道力学中，椭圆轨道上物体的位置可以用离心异常来描述。

2.Astronomers often convert the eccentric anomaly into mean anomaly for easier calculations.

天文学家常常将离心异常转换为平均异常，以便进行更简单的计算。

3.The eccentric anomaly is particularly useful when analyzing the motion of planets around the sun.

在分析行星围绕太阳的运动时，离心异常特别有用。

4.To calculate the true anomaly from the eccentric anomaly, one must apply Kepler's equations.

要从离心异常计算真实异常，必须应用开普勒方程。

5.Understanding the relationship between the eccentric anomaly and the time of flight is crucial for satellite missions.

理解离心异常与飞行时间之间的关系对于卫星任务至关重要。

作文

In the field of celestial mechanics, understanding the motion of celestial bodies is crucial for both astronomers and space engineers. One of the fundamental concepts that arises in this context is the notion of the eccentric anomaly. The eccentric anomaly is a parameter used to describe the position of an object in its elliptical orbit. It is particularly significant when calculating the true anomaly, which represents the actual angle of the object as observed from the focus of the ellipse. To grasp the importance of the eccentric anomaly, it is essential to delve into the geometry of elliptical orbits.Ellipses are defined by two focal points, and in the case of planetary orbits, one of these foci is occupied by the central body, such as a star or planet. The eccentric anomaly helps us understand how far along the orbit an object is at any given time. By relating the circular motion to elliptical motion, the eccentric anomaly provides a way to simplify calculations that would otherwise be complex due to the non-uniform speed of objects in elliptical orbits.To visualize this, imagine a circle inscribed within an ellipse. The eccentric anomaly can be thought of as an angle that corresponds to a point on this circle. As the object moves along its elliptical path, the eccentric anomaly changes, allowing astronomers to calculate the position of the object based on time elapsed since its last periapsis passage.The mathematical relationship involving the eccentric anomaly is elegantly expressed through Kepler's equations. These equations allow us to convert between the eccentric anomaly and the true anomaly, thereby facilitating predictions about the future positions of celestial bodies. For example, if we know the period of a planet's orbit and the time since it last passed periapsis, we can compute the eccentric anomaly and subsequently determine where the planet will be at any point in time.Moreover, the eccentric anomaly is vital for mission planning in space exploration. When sending spacecraft to distant planets or moons, engineers must calculate trajectories that account for the gravitational influences of various celestial bodies. By using the eccentric anomaly, they can ensure the spacecraft follows the correct path, optimizing fuel consumption and travel time.In summary, the eccentric anomaly plays a pivotal role in the study of orbital mechanics. It serves as a bridge between the complex reality of elliptical orbits and the more straightforward calculations associated with circular motion. By mastering the concept of the eccentric anomaly, students and professionals alike can enhance their understanding of celestial dynamics, paving the way for advancements in astronomy and space exploration. As we continue to explore the cosmos, the significance of the eccentric anomaly will undoubtedly remain a cornerstone of our understanding of orbital mechanics and the motion of celestial bodies.

在天体力学领域，理解天体的运动对天文学家和航天工程师至关重要。在这个背景下，一个基本概念就是离心异常的概念。离心异常是一个参数，用于描述物体在其椭圆轨道中的位置。它在计算真实异常时尤其重要，真实异常表示从椭圆的焦点观察到的物体的实际角度。要理解离心异常的重要性，有必要深入探讨椭圆轨道的几何特征。椭圆由两个焦点定义，在行星轨道的情况下，其中一个焦点被中心天体占据，如恒星或行星。离心异常帮助我们理解物体在任何给定时间沿轨道移动的距离。通过将圆形运动与椭圆形运动联系起来，离心异常提供了一种简化计算的方法，否则由于椭圆轨道中物体的不均匀速度，这些计算将变得复杂。为了可视化这一点，可以想象一个内切于椭圆的圆。离心异常可以被视为与这个圆上的某一点对应的角度。随着物体沿其椭圆路径的移动，离心异常发生变化，使天文学家能够根据自上次近地点经过以来经过的时间来计算物体的位置。涉及离心异常的数学关系通过开普勒方程优雅地表达。这些方程允许我们在离心异常和真实异常之间转换，从而促进对天体未来位置的预测。例如，如果我们知道一个行星轨道的周期和自上次经过近地点以来的时间，我们可以计算出离心异常，并随后确定行星在任何时刻的位置。此外，离心异常对于太空探索中的任务规划至关重要。当向遥远的行星或月球发送航天器时，工程师必须计算考虑各种天体引力影响的轨迹。通过使用离心异常，他们可以确保航天器沿着正确的路径飞行，优化燃料消耗和旅行时间。总之，离心异常在轨道力学研究中发挥着关键作用。它在椭圆轨道的复杂现实与与圆形运动相关的更简单计算之间架起了桥梁。通过掌握离心异常的概念，学生和专业人士都可以增强对天体动力学的理解，为天文学和太空探索的进步铺平道路。随着我们继续探索宇宙，离心异常的重要性无疑将继续成为我们理解轨道力学和天体运动的基石。