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librate

Definitions

  • WordNet 3.6
    • v librate vibrate before coming to a total rest "the children's swing librated"
    • v librate determine the weight of "The butcher weighed the chicken"
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Webster's Revised Unabridged Dictionary
    • v. t Librate To poise; to balance.
    • v. i Librate lī"brāt To vibrate as a balance does before resting in equilibrium; hence, to be poised. "Their parts all librate on too nice a beam."
    • ***
Century Dictionary and Cyclopedia
    • librate To hold in equipoise; poise; balance.
    • librate To move as a balance; be poised.
    • n librate Land of the annual value of one pound.
    • n librate A piece of land containing 4 oxgangs of 13 acres each.
    • ***
Chambers's Twentieth Century Dictionary
    • v.t Librate lī′brāt to poise: to balance
    • v.i Librate to move slightly: to be poised
    • ***

Etymology

Webster's Revised Unabridged Dictionary
L. libratus, p. p. of librare, to balance, to make even, fr. libra,. Cf. Level Deliberate Equilibrium

Usage

In literature:

The last of Galileo's great astronomical discoveries related to the libration of the moon.
"Great Astronomers" by R. S. Ball
The inclination of her axis to the plane of her orbit, and her consequent libration in latitude.
"Scientific American Supplement, No. 447, July 26, 1884" by Various
At no time did Browning write verse which soars with a more steadfast and impassioned libration of wing.
"Robert Browning" by Edward Dowden
Fate, now come back; thou canst not farther get; The bounds of thy libration here are set.
"The Works Of John Dryden, Volume 4 (of 18)" by John Dryden
Libration of the system between torpor and activity.
"Zoonomia, Vol. I" by Erasmus Darwin
I had undertaken, in conjunction with M. Bouvard, the observations relating to the verification of the laws of the moon's libration.
"Biographies of Distinguished Scientific Men" by Francois Arago
We'd show enough, however, to make it damned impressive, and explain it by libration of the satellite.
"Question of Comfort" by Les Collins
This change or libration is of four different kinds, viz.
"The Martyrs of Science, or, The lives of Galileo, Tycho Brahe, and Kepler" by David Brewster
LIBRATION OF THE MOON.
"The Sailor's Word-Book" by William Henry Smyth
Discovered the moon's libration.
"Pioneers of Science" by Oliver Lodge
The Librate Roll of Henry III.
"Needlework As Art" by Marian Alford
Librations of moon, 98.
"A Text-Book of Astronomy" by George C. Comstock
The next year he made his last discovery, known as the moon's librations.
"Famous Men of Science" by Sarah K. Bolton
However this may be, the existence of the libration, and its period if it does exist, are still unknown.
"Encyclopaedia Britannica, 11th Edition, Volume 15, Slice 5" by Various
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In news:

Pierre Haski, a former deputy editor of the daily Libération, is the co-founder and chief executive of the French independent news Web site Rue89.com.
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In science:

Conversely, the mean librational motion of all the Tro jan test particles near Venus and the Earth’s Lagrange points appeared extremely stable.
Asteroids in the Inner Solar System I - Existence
Tadpole orbits are shown in green and librate about either the leading L4 or trailing L5 Lagrange points.
Asteroids in the Inner Solar System I - Existence
Horseshoe orbits are shown in blue and perform a double libration about both L4 and L5 .
Asteroids in the Inner Solar System I - Existence
Tadpole orbits perform a simple libration about either the Lagrange point L4 or L5, whereas the horseshoes perform a double libration about both L4 and L5 .
Asteroids in the Inner Solar System I - Existence
The libration about the Lagrange points can be viewed as the trapping of the test particle in the well, with the tadpole orbits located in the deeper part of the well and the horseshoe orbits in the shallower part.
Asteroids in the Inner Solar System I - Existence
The secular potential (4) can also be used to work out the approximate period P of small angle librations about the Lagrange points.
Asteroids in the Inner Solar System I - Existence
The period of libration increases with increasing inclination.
Asteroids in the Inner Solar System I - Existence
The final panel shows the amplitude of libration D about the Lagrange point.
Asteroids in the Inner Solar System I - Existence
The lowest panel shows the evolution of the amplitude of libration D (in degrees) about the Lagrange point for the two test particles.
Asteroids in the Inner Solar System I - Existence
This is obvious on examining the lowest panel, which shows that its angular amplitude of libration about the Lagrange point is ∼ 320◦ .
Asteroids in the Inner Solar System I - Existence
These take place on a timescale much longer than the libration of the Tro jan, and so the Hamiltonian is effectively constant.
Asteroids in the Inner Solar System I - Existence
Hamiltonian, one can determine librational and rotational energy levels.
Energy Level Quasi-Crossings: Accidental Degeneracies or Signature of Quantum Chaos?
The predicted round-trip travel times between retroreflector and telescope also take into account the librations of the Moon, the orientation of the Earth, the location of the observatory, and atmospheric effects on the signal propagation.
The Confrontation between General Relativity and Experiment
Each pendulum can have two types of motion; rotation at a higher energy and libration at a lower energy.
Self-Organized Bottleneck in Energy Relaxation
When total energy E is very small, M ≃ 1, where all pendula librate.
Self-Organized Bottleneck in Energy Relaxation
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