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Definition of librate : 1. To poise; to balance.
2. To vibrate as a balance does before resting in equilibrium; hence, to be poised.

Synonyms:

count, press, weigh, matter, consider

radiate, alternate, seesaw, tremble, totter, tick, fluctuate, throb, undulate, bob, beat, rock, vibrate, pulse, wag, sway, vacillate, wobble, oscillate, pulsate, stagger, teeter-totter

Usage examples:

• In a general way a cable keeps a ship anchored in the same place, although wind and waves may cause it to " librate" about the anchor. - "A Text-Book of Astronomy", George C. Comstock.
• He proceeded to see if by making the planet librate, or the plane of its orbit tilt up and down, anything could be done. - "Pioneers of Science", Oliver Lodge.