Sentence examples for librate from inspiring English sources

The resonances are said to overlap in this case, and the attempt by the system to librate simultaneously about both resonances for some initial conditions leads to chaotic orbital behaviour.

For example, the Trojan asteroids librate (oscillate) around the 1 1 orbital resonance (i.e., the orbital period of Jupiter is in a 1 1 ratio with the orbital period of the Trojan asteroids); the asteroid Thule librates around the 4 3 orbital resonance; and several asteroids in the Hilda group librate around the 3 2 orbital resonance.

Although the asteroid Griqua librates around the 2 1 resonance with Jupiter, and Alinda librates around the 3 1 resonance, the orbital commensurabilities 2 1, 7 3, 5 2, and 3 1 are characterized by an absence of asteroids in an otherwise rather highly populated, uniform distribution spanning all of the commensurabilities.

Within resonance, the angle θ librates, or oscillates, around a constant value as would a pendulum around its equilibrium position at the bottom of its swing.

The first Earth Trojan asteroid, 2010 TK7, which librates around L4, was discovered in 2010.

However, in 1990 an asteroid later named (5261) Eureka was discovered librating (oscillating) about the trailing Lagrangian point of Mars, and since then three others have been found, two at the trailing point and one at the leading point.

The first Uranus Trojan, 2011 QF99, which librates around L4, was discovered in 2011.

Although Trojans of Saturn have yet to be found, objects librating about Lagrangian points of the systems formed by Saturn and its moon Tethys and Saturn and its moon Dione are known.