라그랑주 점

수학노트
둘러보기로 가기 검색하러 가기

노트

말뭉치

  1. Lagrange Points of the Earth-Moon System A mechanical system with three objects, say the Earth, Moon and Sun, constitutes a three-body problem.[1]
  2. These five points were named Lagrange points and numbered from L1 to L5.[1]
  3. The Lagrange points L4 and L5 constitute stable equilibrium points, so that an object placed there would be in a stable orbit with respect to the Earth and Moon.[1]
  4. The Lagrange points L1, L2 and L3 would not appear to be so useful because they are unstable equilibrium points.[1]
  5. The third Lagrange point, L3, lies behind the sun, opposite Earth's orbit.[2]
  6. “NASA is unlikely to find any use for the L3 point since it remains hidden behind the sun at all times,” NASA wrote on a web page about Lagrange points.[2]
  7. Far from the interfering heat and light of the sun, an asteroid-hunting spacecraft at a Lagrange point would be more sensitive to the tiny infrared signals from asteroids.[2]
  8. Scientists also perform periodic studies of small bodies naturally occurring at Lagrange points.[2]
  9. L2 is one of the so-called Lagrangian points, discovered by mathematician Joseph Louis Lagrange.[3]
  10. Lagrangian points are locations in space where gravitational forces and the orbital motion of a body balance each other.[3]
  11. These have become known as Lagrangian points and are labelled L1 to L5.[3]
  12. And it’s at these gravitational sweet spots, called Lagrange points, where a smaller object can stay in equilibrium.[4]
  13. Lagrange points were first theorised in 1772, by French mathematician and astronomer Joseph-Louis Lagrange.[4]
  14. The five Lagrange points exist in the same relative positions around all major bodies in our Solar System, where one body orbits a more massive body.[4]
  15. So, there are Lagrange points in the Earth-Sun system, the Mars-Sun system, the Jupiter-Sun system, and so on.[4]
  16. Counterintuitively, the L 4 and L 5 points are the A contour plot of the effective potential due to gravity and the centrifugal force of a two-body system in a rotating frame of reference.[5]
  17. The arrows indicate the gradients of the potential around the five Lagrange points—downhill toward them () or away from them ().[5]
  18. , 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.[5]
  19. Small objects placed in orbit at Lagrange points are in equilibrium in at least two directions relative to the center of mass of the large bodies.[5]
  20. Lagrange Points Lagrange points are positions in space where objects sent there tend to stay put.[6]
  21. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them.[6]
  22. Lagrange Points are positions in space where the gravitational forces of a two body system like the Sun and the Earth produce enhanced regions of attraction and repulsion.[6]
  23. The Lagrange Points are positions where the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them.[6]
  24. Constructed at a Lagrange point were three huge space colonies: the Isis Cluster; two artificial biospheres, named Land-1 and Land-2, and a satellite.[7]
  25. Lagrangian point, in astronomy, a point in space at which a small body, under the gravitational influence of two large ones, will remain approximately at rest relative to them.[8]
  26. In the Earth-Sun system the first (L1) and second (L2) Lagrangian points, which occur some 1,500,000 km (900,000 miles) from Earth toward and away from the Sun, respectively, are home to satellites.[8]
  27. The James Webb Space Telescope, right, will focus on the heavens from an even better vantage: a distant Lagrange point in space.[9]
  28. In fact, Queqiao orbits the Earth-Moon L2 Lagrange point, a different point in space.[9]
  29. The Earth-sun orbital relationship produces five Lagrange points, which scientists number L1 through L5.[9]
  30. Webb experiences the pull of gravity from both our own planet and the sun at Lagrange point 2 (L2), one of five such points in the sun-Earth system.[10]
  31. Space explorers love Lagrange points because when viewed from Earth, the points appear to stay in fixed locations, making them convenient for communicating with spacecraft.[10]
  32. Cornish compares Lagrange points to a marble on a hilly surface.[10]
  33. You can plow through many math operations to find Lagrange points, but that requires solving a messy 12th- or 15th-order polynomial equation.[10]
  34. NASA’s DSCOVR deep space climate observatory mission is one of a number of spacecraft to have utilized Sun-Earth Lagrange point 1.[11]
  35. These triangular libration points located 60 degrees ahead and behind Earth in its orbit are more stable than the other three points and could harbor near-Earth objects.[11]
  36. NASA’s Lucy mission will visit Jupiter’s Lagrange points where the Trojan asteroids have been gravitationally trapped for billions of years, holding clues to the formation of our solar system.[12]
  37. Lagrange points are named after the Italian astronomer and mathematician who first proposed them.[12]
  38. NASA’s taking advantage of those Lagrange Points to send two new extraordinary missions.[12]
  39. The Queqiao satellite orbits around the L 2 Lagrange point located behind Earth and the Moon to relay communications from China’s lunar landers back to Earth.[13]
  40. The five Lagrange Points between the Earth are labelled (somewhat unimaginatively) L1 to L5.[14]
  41. Lagrange points are locations in space where gravitational forces and the orbital motion of a body balance each other.[15]
  42. Lagrange points nat­u­ral­ly appear as spe­cial solu­tions of the so-called ‘restrict­ed’ three-body prob­lem, in which one of the bod­ies is very small com­pared to the oth­er two.[16]
  43. The orbit of the Earth (green) and the Lagrange points (black) around the Sun (orange) at the cen­tre, in the co-rotat­ing ref­er­ence frame.[16]
  44. The Lagrange point L2 lies on the oth­er side of the Earth from L1, and L3 on the oth­er side of the Sun.[16]
  45. Artificial satellites On the prac­ti­cal side of things, it is main­ly the L1 and L2 Lagrange points that have inter­est­ed space agen­cies.[16]
  46. Then there are five Lagrange points where we can put a satellite.[17]
  47. The stable Lagrange points are the most interesting for astronomy, because stuff tends to accumulate there.[17]
  48. It later was shown that if objects are not in precisely the right positions then an object at the first three Lagrange points will wander off.[18]
  49. Asteroids that orbit a planet’s L4 or L5 Lagrange points are known as Trojan Asteroids.[18]
  50. The first (and currently most) known Trojan Asteroids are located around the Lagrange points of Jupiter.[18]
  51. L 4 {\displaystyle L_{4}} and L 5 {\displaystyle L_{5}} are points leading and trailing the orbiting body at an angle of approximately 60° from the Earth-Sun line.[19]
  52. Communications satellites inserted in stable orbits around the Lagrangian points - long-term nodes of communication between Earth and Mars.[19]
  53. The previous post looked at two of the five Lagrange points of the Sun-Earth system.[20]
  54. The remaining Lagrange points, L4 and L5, are stable.[20]
  55. The Sun is over 1000 times more massive than Jupiter, so Jupiter’s L4 and L5 Lagrange points with respect to the Sun are stable.[20]
  56. The Wilkinson Microwave Anisotropy Probe (WMAP), which measures radiation from the big bang, lives at a Lagrange point called L2 more than 1 million kilometres away.[21]
  57. That’s because massive bodies like the sun and planets have gravitational fields that resemble mountains and hills, but Lagrange points are all at gravitational lowlands.[21]
  58. Stepping out into interplanetary space, Lagrange points present the nearest milestone to Earth that’s still beyond the moon,” Friedman told New Scientist.[21]
  59. “I see what we could do at Lagrange points in the same way.[21]
  60. There are five Lagrange Points in the Earth-Moon system; they are not absolutely fixed in relation to the Earth and Moon but, because of the Sun's influence, slowly circle "Lagrange Regions".[22]
  61. A lagrangian point refers to a point in space where overlapping gravity fields between two celestial bodies provide a place of neutral gravity.[23]
  62. Each body usually has five lagrangian points.[23]
  63. DSCOVR recently reached its station about a million miles away between the Earth and the sun at a Lagrange point , where gravitational fields of Earth and Sun cancel out.[24]

소스

  1. ↑ 1.0 1.1 1.2 1.3 Lagrange Points of the Earth-Moon System
  2. ↑ 2.0 2.1 2.2 2.3 Lagrange Points: Parking Places in Space
  3. ↑ 3.0 3.1 3.2 L2, the second Lagrangian Point
  4. ↑ 4.0 4.1 4.2 4.3 What are Lagrange points?
  5. ↑ 5.0 5.1 5.2 5.3 Lagrange point
  6. ↑ 6.0 6.1 6.2 6.3 What is a Lagrange Point?
  7. ↑ Lagrange Point (video game)
  8. ↑ 8.0 8.1 Lagrangian point | Definition & Distance
  9. ↑ 9.0 9.1 9.2 What is a Lagrange point, the final destination for the James Webb Space Telescope?
  10. ↑ 10.0 10.1 10.2 10.3 The Math That Helps the James Webb Space Telescope Sit Steady in Space
  11. ↑ 11.0 11.1 Chang’e-5 orbiter reaches Lagrange point on extended mission
  12. ↑ 12.0 12.1 12.2 We Asked a NASA Scientist: What Are Lagrange Points? Video
  13. ↑ Ask Astro: How and why do satellites orbit Lagrange points?
  14. ↑ lagrange point Archives
  15. ↑ Lagrange point
  16. ↑ 16.0 16.1 16.2 16.3 Satellites: why are ‘Lagrange points’ so important?
  17. ↑ 17.0 17.1 Lagrange
  18. ↑ 18.0 18.1 18.2 The Lagrange Points
  19. ↑ 19.0 19.1 Lagrangian point
  20. ↑ 20.0 20.1 20.2 When are Lagrange points L4 and L5 stable?
  21. ↑ 21.0 21.1 21.2 21.3 Why future astronauts may be sent to 'gravity holes'
  22. ↑ SFE: Lagrange Point
  23. ↑ 23.0 23.1 Lagrangian point
  24. ↑ Lagrange point

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'lagrange'}, {'LEMMA': 'point'}]
  • [{'LOWER': 'lagrangian'}, {'LEMMA': 'point'}]
  • [{'LOWER': 'lagrange'}, {'LOWER': 'points'}]
  • [{'LOWER': 'l'}, {'OP': '*'}, {'LEMMA': 'point'}]
  • [{'LOWER': 'libration'}, {'LEMMA': 'point'}]
원본 주소 "https://wiki.mathnt.net/index.php?title=라그랑주_점&oldid=53060"