eccentricity


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eccentricity,

in astronomy: see orbitorbit,
in astronomy, path in space described by a body revolving about a second body where the motion of the orbiting bodies is dominated by their mutual gravitational attraction.
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Eccentricityclick for a larger image
Eccentricity

eccentricity

Symbol: e . A measure of the extent to which an elliptical orbit departs from circularity. It is given by the ratio c /2a where c is the distance between the focal points of the ellipse and 2a is the length of the major axis. For a circular orbit e = 0. The planets and most of their satellites have an eccentricity range of 0–0.25 (see table). Many comets and some of the asteroids and planetary satellites have very eccentric orbits. The eccentricity of an orbit varies over a long period due to changing gravitational effects: that of the Earth's orbit varies between about 0.005 to 0.06 in a period of about 100 000 years. See also conic sections.

Eccentricity

 

in a conic section, a number equal to the ratio of a point’s distance from the focus to its distance from a directrix. The eccentricity characterizes the shape of a conic section. For example, two conic sections that have the same eccentricity are similar. The eccentricity of an ellipse is less than unity, that of a hyperbola is greater than unity, and that of a parabola is equal to unity. For the ellipse and hyperbola, the eccentricity may be defined as the ratio of the distances between the foci to the longer or real axis.

eccentricity

[‚ek·sən′tris·əd·ē]
(mathematics)
The ratio of the distance of a point on a conic from the focus to the distance from the directrix.
(mechanics)
The distance of the geometric center of a revolving body from the axis of rotation.

Eccentricity

Addams Family
weird family, presented in grotesque domesticity. [TV: Terrace, I, 29]
Boynton, Nanny
travels with set of Encyclopaedia Britannica to settle disputes. [Am. Lit.: “Percy” in Stories, 634–644]
Dick, Mr.
odd but harmless old gentleman. [Br. Lit.: David Copperfield]
Doolittle, Doctor
veterinarian who talks to animals. [Children’s Lit.: Dr. Doolittle]
Flite, Miss
“ancient” ward in Chancery. [Br. Lit.: Bleak House]
Great-Aunt Dymphna
outlandish dresser who pointedly doesn’t eat meat. [Children’s Lit.: The Growing Summer, Fisher 124–127]
Havisham, Miss
jilted bride turns into witchlike old woman. [Br. Lit.: Great Expectations]
Longstocking, Pippi
outrageous, rebellious, imaginative child. [Children’s Lit.: Pippi Longstocking]
Madeline
individualist; only girl “out of line.” [Children’s Lit.: Madeline, Fisher, 196]
Madwoman of Chaillot
delightfully pixilated old woman manages to exploit the Parisian exploiters. [Fr. Lit.: The Madwoman of Chaillot, Benét, 618]
Pickwick, Mr. (Samuel)
jolly “conformist” who understands anything but the obvious. [Br. Lit.: Pickwick Papers]
Poppins, Mary
English nanny who practises levitation, flies up chimneys, etc. [Children’s Lit.: Mary Poppins, Fisher, 218]
Salus, St. Simeon
behaved queerly to share outcasts’ contempt. [Christian Hagiog.: Attwater, 311]

eccentricity

1. deviation from a circular path or orbit
2. a measure of the noncircularity of an elliptical orbit, the distance between the foci divided by the length of the major axis
3. Geometry a number that expresses the shape of a conic section: the ratio of the distance of a point on the curve from a fixed point (the focus) to the distance of the point from a fixed line (the directrix)
4. the degree of displacement of the geometric centre of a rotating part from the true centre, esp of the axis of rotation of a wheel or shaft
References in periodicals archive ?
* eccentricity did not influence the real diameter of reamed hole.
where [[sigma].sub.BA], [[sigma].sub.PA], [[sigma].sub.AEij], [[sigma].sub.TDij], [[sigma].sub.SDDij] are RMS of vehicle body vertical acceleration (BVA), pitch angle (PA), airgap eccentricity (AE), tyre deformation (TD), and suspension dynamic deflections (SDD).
13, the fundamental frequency of pre-stressed concrete beam showed no obvious changes with the increase of pre-stress value under the same eccentricity. When the pre-stress value increased from 0 kN to 200 kN, the fundamental frequency of concrete beams only rose by about 5%.
Figure 5 shows that flow coefficient also decreases with increase in relief track depth ratio and for a given relief track depth ratio flow coefficient increases with increase in eccentricity ratio.
Figure 6 represents the effect of fluid inertia on the SFD fluid film reaction forces at small eccentricity ratios.
In the case of dynamic eccentricity, the length of the airgap can be expressed as follows [27]:
Moreover, the inertia force of leakage flow at 90[degrees] is smaller than that at 270[degrees], which implies that the leakage flow is nonuniform in the circumferential direction because of eccentricity and the circumferential force is nonuniform too.
Figures 15 to 18 show the thermal patterns for Ta=33[degrees]C, E=0.48 x [10.sup.-3] gm/[cm.sup.2]min, case I and stage V for different eccentricity [d.sub.1]=0, 0.25, 0.5 and 0.75 respectively.
The presence of the eccentricity and ellipticity in the construction of cable has different effects on the distribution of the electric field strength at the conductor and the insulation.
Fig3 shows the heat converted from the inner film frictional power consumption [W.sub.i], the heat carried away by the inner film end leakage flow rate [Q.sub.i] and the heat through the floating ring with the outer film eccentricity ratio [[epsilon].sub.o].
From the table 1 it is seen that eccentricity increases with increase in the magnitude of asymmetry.
Also if x and y are vertices of a connected graph G and Aut(G), then d(x,y)=d( (x), (y)) [1,5].Thus to determine the eccentricity of the vertices of P(n,m), it is enough to determine the eccentricity of exactly one vertex on the inner and outer cycle.