Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
What (who) is Lagrangian point - definition
![The Lagrangian L<sub>2</sub> point for the [[Sun]]–[[Earth]] system](https://commons.wikimedia.org/wiki/Special:FilePath/L2 rendering.jpg?width=200 "The Lagrangian L<sub>2</sub> point for the [[Sun]]–[[Earth]] system")
![high points]] of the potential. At the points themselves these forces are balanced.](https://commons.wikimedia.org/wiki/Special:FilePath/Lagrange points2.svg?width=200 "high points]] of the potential. At the points themselves these forces are balanced.")
![Click for animation.]]](https://commons.wikimedia.org/wiki/Special:FilePath/Lagrangian points equipotential.png?width=200 "Click for animation.]]")
Wikipedia
In celestial mechanics, the Lagrange points (; also Lagrangian points or libration points) are points of equilibrium for small-mass objects under the influence of two massive orbiting bodies. Mathematically, this involves the solution of the restricted three-body problem.
Normally, the two massive bodies exert an unbalanced gravitational force at a point, altering the orbit of whatever is at that point. At the Lagrange points, the gravitational forces of the two large bodies and the centrifugal force balance each other. This can make Lagrange points an excellent location for satellites, as few orbit corrections are needed to maintain the desired orbit.
For any combination of two orbital bodies there are five Lagrange points, L1 to L5, all in the orbital plane of the two large bodies. There are five Lagrange points for the Sun–Earth system, and five different Lagrange points for the Earth–Moon system. L1, L2, and L3 are on the line through the centers of the two large bodies, while L4 and L5 each act as the third vertex of an equilateral triangle formed with the centers of the two large bodies.
When the mass ratio of the two bodies is large enough, the L4 and L5 points are stable points meaning that objects can orbit them, and that they have a tendency to pull objects into them. Several planets have trojan asteroids near their L4 and L5 points with respect to the Sun; Jupiter has more than one million of these trojans.
Some Lagrange points are being used for space exploration. Two important Lagrange points in the Sun-Earth system are L1, which is located between the Sun and Earth, and L2, which is beyond the Moon. Currently, an artificial satellite called the Deep Space Climate Observatory (DSCOVR) is located at L1 to study solar wind coming toward Earth from the Sun and monitor Earths climate, by taking images and sending the back. The James Webb Space Telescope, a powerful space observatory, is located at L2. This allows the satellite's large sunshield to protect the telescope from the light and heat of the Sun and Earth (and Moon).
