Sentence examples for behaviour of the orbit from inspiring English sources

More precisely, the appearance of two saddle equilibria on the critical manifold suppresses the fold-initiated transition between saddle-unstable sheets and changes the behaviour of the orbit segment.

To understand this behaviour, we study the associated slow flow on the critical manifold and identify the effect of folds and folded singularities on the behaviour of the orbit segment.

Let us emphasise here that the behaviour of the orbit segments near F 3 does not involve interactions with the slow flow on S 3 r ; the small spike and subsequent drop down to S 1 a do not intersect the surfaces S 3 r and S 2 r.

The behaviour of the orbit segment of system (1) in relation to the critical manifold S of the fast subsystem that corresponds to the first downward peak in Figure 3a is representative for what happens along the other downward peaks in Figure 3a.

The behaviour of the orbit segment near the top fold F 3 corresponds to the onset of such a new spike, but the process of reaching F 3, as illustrated in Figure 5a,b, as well as the further development of the spike, as illustrated in Figure 5d,e,f, involves the creation of a double-step ADP; this behaviour is organised by a (fast) jump from S 1 r to another saddle-unstable sheet S 2 r.

This change corresponds to the behaviour of the classical orbits.

A discrete analog of a construction of the Hille Yosida space is used to obtain results on the asymptotic behaviour of individual orbits of generally unbounded operators.

The new planet was quickly named Vulcan but was never seen again, and the anomalous behaviour of Mercury's orbit was explained by Einstein's General theory of relativity in 1915.

The position of the Moon in its orbit determines the behaviour of the atmosphere.

The orbit stability depends on the orbit parameters of the heliocentric displaced orbit, the ratio of the orbit radius to displaced distance and orbit angular velocity.

Inferior edge of the orbit.