Although the,, and points are nominally unstable, it turns out that it is possible to find stable periodic orbits around these points, at least in the restricted three-body problem.

The orbits within the Kuiper belt are relatively stable, and so very few comets are believed to originate there.

* The orbits of Pluto and the plutinos are stable, despite crossing that of the much larger Neptune, because they are in a 2: 3 resonance with it.

One approximate result is that bodies will usually have reasonably stable orbits around a heavier planet or moon, in spite of these perturbations, provided they are orbiting well within the heavier body's hill sphere.

Numerical simulations suggest that the orbits of plutinos with an eccentricity 10 %– 30 % smaller or larger than that of Pluto are not stable over Ga timescales.

Binary and multi-star systems consist of two or more stars that are gravitationally bound, and generally move around each other in stable orbits.

However, these linear orbits are not as stable as, for example, the equilateral Lagrange orbits and.

However, calculations performed after the recent detection of a possible ring system around Saturn's moon Rhea indicate that satellites orbiting Rhea would have stable orbits.

Fortunately, our solar system is much less populated with large objects today and the probability of such an event happening is essentially zero, as the larger asteroids in the asteroid belt and the giant comets in the Kuiper belt that are in this size range are in stable orbits that will not enter the inner solar system, let alone intersect the orbit of Earth, with no observed exceptions.

The bifurcation diagram nicely shows the forking of the possible periods of stable orbits from 1 to 2 to 4 to 8 etc.

Remarkably, one could use these simple rules to produce stable orbits around planets-or to ' slingshot ' around them to change direction and speed without consuming any fuel.

Micrometeoroids have less stable orbits than meteoroids, due to their greater surface area to mass ratio.

The orbits for two of the points, and, are stable, but the orbits for through are stable only on the order of months.

In these systems there is little interaction between the orbits and, as in binary stars, the orbits are stable.

These stars have no standard hierarchical arrangements, but compete for stable orbits, where the center of gravity is not fixed at some point but moves as the stars change their mutual positions.

Rocky planets, which have managed to coalesce, settle eventually into more or less stable orbits, explaining why planetary systems are generally packed to the limit ; or, in other words, why they always appear to be at the brink of instability.

In this case, the stars ' motion will continue to approximate stable Keplerian orbits around the system's center of mass, unlike the more complex dynamics of the large number of stars in star clusters and galaxies.

In order to maintain stable orbits, the effect of gravity must either propagate much faster than the speed of light or must not be a purely central force.

There is no international agreement on the vertical extent of sovereign airspace ( the boundary between outer space — which is not subject to national jurisdiction — and national airspace ), with suggestions ranging from about ( the extent of the highest aircraft and balloons ) to about ( the lowest extent of short-term stable orbits ).

Some monetary reformers believe that in a genuine free market, where government did not impose a monopoly currency on the populace, a gold standard or silver standard monetary system would arise spontaneously out of the free market because of their unique properties: their extraordinary malleability, their strong resistance to forgery, their character as stable and impervious to decay, and their inherently limited supply.

Due to this flatness, riverbeds are not stable, and small lagoons that are slowly reabsorbed arise.

These slopes arise from the linearizations of the stable manifold and unstable manifold of the fixed point.

Kondoh and Ackland and Gallagher have independently shown that large, stable Lotka-Volterra systems arise if the elements of α < sub > ij </ sub > ( i. e. the features of the species ) can evolve in accordance with natural selection.

Those favoring a quantity theory of money have tended to believe that, in the absence of inflationary or deflationary expectations, velocity will be technologically determined and stable, and that such expectations will not generally arise without a signal that overall prices have changed or will change.

As the 20th century dawned, geneticists learned that discontinuous variations could arise by mutation and be transmitted to offspring via stable non-mixing factors: the rules of transmission of these factors constitute Mendel ’ s laws.

Multiple stable states is a specific theoretical concept, where all species have equal access to a community ( i. e., equal dispersal potential ) and differences between communities arise simply because of the timing of each species ' colonization.

It is commonly assumed that this most-populated state is also the most thermodynamically stable conformation attainable for a given primary structure ; this is a reasonable first approximation but the claim assumes that the reaction is not under kinetic control-that is, that the time required for the protein to attain its native conformation before being translated is small.

A. M. Lyapunov proved that if the system of the first approximation is regular ( e. g., all systems with constant and periodic coefficients are regular ) and its largest Lyapunov exponent is negative, then the solution of the original system is asymptotically Lyapunov stable.

Calculations that can be proven not to magnify approximation errors are called numerically stable.

In the limit of large field the state becomes a good approximation of a noiseless stable classical wave.

The forward finite difference approximation is unconditionally stable, but leads to an implicit set of equations ( that must be solved using matrix methods, e. g. LU or Cholesky decomposition ).

Comparative statics results are usually derived by using the implicit function theorem to calculate a linear approximation to the system of equations that defines the equilibrium, under the assumption that the equilibrium is stable.

Pierre Laplace ( in 1773 ) and Joseph Louis Lagrange ( in 1776 ) had already studied the problem, both of them showing that the major axes of the orbits are stable, by using a first degree approximation of the perturbing forces.

The most successful S-matrix approach centered on the narrow-resonance approximation, the idea that there is a consistent expansion starting from stable particles on straight-line Regge trajectories.

This is what is meant by the aphorism " the cohomology of the Steenrod algebra is an approximation to the stable homotopy groups of spheres.

( Here we ignore a stable cycle if a stable cycle of the same order has occurred earlier.

Duncan Smith said: " We do a disservice to society if we ignore the evidence which shows that stable families tend to be associated with better outcomes for children.

" ( New rules ....) Giddens suggests that structures ( traditions, institutions, moral codes, and other sets of expectations-established ways of doing things ) are generally quite stable, but can be changed, especially through the unintended consequences of action, when people start to ignore them, replace them, or reproduce them differently.

Coastal areas are generally milder and dry during summer, under the influence of stable anti-cyclonic high pressure much of the time.

* Homeothermy is thermoregulation that maintains a stable internal body temperature regardless of external influence.

First of all there are ancestral environments that are typically long-term and stable forms of situations that influence mental development of individuals or groups gained either biologically through birth or learned from family or relatives, that cause the emphasis of certain mental behaviours that are developed due to their necessity the ancestral environment.

" Theorists generally assume a ) traits are relatively stable over time, b ) traits differ among individuals ( for instance, some people are outgoing while others are reserved ), and c ) traits influence behavior.

In light of the Russian border forces ' withdrawal from the Tajik-Afghan border, the U. S. Government leads an international donor effort to enhance Tajikistan's territorial integrity, prevent the transit of narcotics and material or technology related to weapons of mass destruction ( WMD ), and support a stable, peaceful Tajikistan in order to prevent the spread of influence and activities of radical groups and terrorists.

Later studies indicate that it diverged from its parent stock in the 10th century and became a Creole and a stable independent language by the 13th century, under the influence of Sinhalese.

The Market structure consists of the relatively stable features of the market environment that influence rivalry among the buyers and sellers operating within this market.

Luther and Rose are agents of a parallel known as " zero-zero ", whose stable position in the multiverse has allowed the development of a world at peace with itself and sufficiently high technology to monitor the parallels for signs of the malign influence of the " Disruptors ".

Homeothermy is thermoregulation that maintains a stable internal body temperature regardless of external influence.

According to Kirkpatrick, totalitarian regimes were more stable and self-perpetuating than authoritarian regimes, and thus had a greater propensity to influence neighboring states.

Shtetls are portrayed as pious communities following Orthodox Judaism, socially stable and unchanging despite outside influence or attacks.

Jumps are normally made to and from points far above a solar system's ecliptic, usually where the gravitational influence in the system is most stable ; however, so-called " pirate points " exist where local gravitational pull is stable enough to used ; though quicker, using such points is also more dangerous due the random appearance of so-called " Lagrange points ".

According to this perspective, traits are relatively stable over time, differ across individuals ( e. g. some people are outgoing whereas others are shy ), and influence behavior.

Lord Elis-Thomas said of the situation, " I think will be a very stable influence around the cabinet table in the difficult situation both parties are in now with the first minister's illness.

This policy had provided Comecon with a stable source of necessary deliveries, in addition to political influence in these strategically important areas.

Shunning the traditional treatment methods available from his stable, he turned instead to a physical therapist called Tashiro Tomita, who had a considerable influence over him.

The rationale was that economically stable nations were less likely to fall prey to Soviet influence, a view which was vindicated in the long run.

Although every other gravitationally stable region in the Solar System has been found to contain objects, non-gravitational forces, such as the Yarkovsky effect, or the influence of a migrating planet in the early stages of the Solar System's development, may have depleted this area of any asteroids that may have been there.

Though it is not an essential part of the lazy shot, it is often used with a full depth shotline, or when the anchor rode is used as a substitute for a shotline, as it provides a more stable vertical reference than the anchor line, which tends to shift considerably as the boat moves under the influence of wind and wave.

* Greater annual hours of sunshine than the typical oceanic domain, especially during the drier summer months, sometimes unbroken sunny stretches for weeks at a time under the domineering influence of stable high pressure.

In the study “ Predicting flow at work: Investigating the activities and job characteristics that predict flow states at work ” Karina Nielsen and Bryan Cleal ( 2010 ) used a 9-item flow scale to examine predictors of flow at two levels: activity level ( such as brainstorming, problem solving, and evaluation ) and at a more stable level ( such as role clarity, influence, and cognitive demands ).

In the face of world wide economic depression, the litas appeared to be quite a strong and stable currency, reflecting the negligible influence of the depression on the Lithuanian economy.

He describes a sequence of necessary steps in order to achieve this: righteous actions, often done under the influence of teachers, allow the development of the right habits, which in turn can allow the development of a good stable character in which the habits are voluntary, and this in turn gives a chance of achieving eudaimonia.