Glossary entry (derived from question below)
English term or phrase:
libration
Turkish translation:
salınım
Jan 23, 2009 10:54
15 yrs ago
English term
libration
GBK
English to Turkish
Science
Astronomy & Space
Definition from
astronomy.com:
The small oscillations in the moon’s motion that allow Earth-based observers to see slightly more than half the moon’s surface
Example sentences:
Libration is the apparent side to side rocking and up and down nodding of the Moon. There are two components: the more obvious "optical" and the very subtle "physical" libration. (www3.telus.net)
Although the Moon always presents us with the same face towards the Earth, due to its rotation and revolution being tidally locked to the same period, the combined effect of all these different librations allows us over time to see some 59% of the Moon's surface. (Wertern Washington University)
Libration in longitude is a consequence of the Moon's orbit around Earth being somewhat eccentric, so that the Moon's rotation sometimes leads and sometimes lags its orbital position. (NationMaster.com)
Proposed translations
(Turkish)
| 5 +2 | salınım |
Nurettin Ceylan
|
Change log
Jan 23, 2009 10:48: changed "Kudoz queue" from "In queue" to "Public"
Jan 23, 2009 10:54: changed "Stage" from "Preparation" to "Submission"
Jan 26, 2009 11:54: changed "Stage" from "Submission" to "Selection"
Feb 8, 2010 08:54: changed "Stage" from "Selection" to "Completion"
Proposed translations
+2
4 days
Selected
salınım
Definition from
own experience or research:
Astronomi biliminde gözlemcilerin ay'ın yarım yüzeyinden biraz fazlasını yerden görebilmesini sağlayan küçük ay hareketleri.
Example sentences:
Salınım hareketleri: Dünyadan herhangi bir zamanda ve herhangi bir yerden ayın yüzeyinin % 50'den fazlası görülemez. Ancak ayın bazı gerçek görünüşteki hareketleri, bizim bu orandan daha fazla görmemizi sağlar. (Coğrafyacıyız.Net)
Peer comment(s):
| agree |
Ali Tuna
263 days
|
| agree |
Halil Ibrahim Tutuncuoglu "Бёcäטsع Լîfe's cômplicåtعd eñøugh"
376 days
|
4 KudoZ points awarded for this answer.
Discussion
The libration points, also called the equilibrium or Lagrangian points, are solutions to the equations of motion for the spacecraft such that the x, y, and z positions and x, y, and z velocities are all 0. So to compute the location of these points, one must solve the equations of motion under these special conditions. When solving, one finds that there are 5 solutions to these equations:
Two solutions fall out easily; each forms and equilateral triangle with the earth and the sun in the plane of rotation
Each of the 3 remaining solutions also lie in the plane of rotation, on the line between the earth and sun
These solutions are shown and labeled below:
To find the location of the 3 libration points lying on the earth-sun axis (L1, L2, and L3), one must solve for the x coordinate of each. This boils down to solving a quintic polynomial equation. It can be proven that each polynomial has one and only one root for mu in the range of 0 to 1.
The equations for L1, L2, and L3 along with the graphs of the corresponding quintic polynomials are shown below for several values of mu:
http://www.geom.uiuc.edu/~megraw/MATH1/lib.html