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Topic: Eccentricity vector

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In the News (Tue 23 Apr 19)

  Method of measuring and compensating roll eccentricity of a rolling mill - Patent 5181408
The on-line eccentricity compensation method is utilized for generating eccentricity compensation signals using the eccentricity vector established by the foregoing off-line eccentricity identification method, and for transferring the eccentricity compensation signals to an automatic gauge control (AGC) system for compensating the backup roll eccentricities and thus correcting the thickness variations of a rolling plate.
The present invention relates to a method of measuring and compensating the eccentricities of the backup rolls of a rolling mill for correcting the thickness variations of a rolling plate caused by the eccentricities of the backup rolls.
It is, therefore, an object of the present invention to provide a method of measuring and compensating the eccentricities of the backup rolls of a rolling mill to reduce the thickness variations of a rolling plate caused by the eccentricities of the backup rolls.
www.freepatentsonline.com /5181408.html   (3548 words)

 Optical fiber connector tuning wrench - Patent 6155146
Rotation of the wrench thus causes rotation of the ferrule-barrel assembly to alter the angular orientation of the eccentricity vector of the ferrule.
This offset, which generally varies from connector to connector, is known as "eccentricity", and is defined as the distance between the longitudinal centroidal axis of the ferrule at the end face thereof and the centroidal axis of the optical fiber core held within the ferrule passage and is made up of three vectors.
Preferably the magnitude of the eccentricity relative to the ferrule axis is 1.8 to 3.5 microns.
www.freepatentsonline.com /6155146.html   (5549 words)

 Eccentricity - Wikipedia, the free encyclopedia
Orbital eccentricity, in astrodynamics, calculated from orbital state vectors as an absolute value of eccentricity vector or using other methods based on orbital energy and angular momentum.
Eccentric (mechanism), a wheel that rotates on an axle that is displaced from the focus of the circle described by the wheel
Eccentric position of a surveying tripod to be able to measure hidden points
en.wikipedia.org /wiki/Eccentricity   (196 words)

 Glossary   (Site not responding. Last check: 2007-11-05)
Component of vector--When a vector is resolved into a sum of vectors in specified directions, each of those vector is the component of the given vector in the specified direction.
The eccentricity e of the orbital ellipse is one of the "orbital elements" characterizing it.
Vectors are added like arrows, end to end, and the sum (for two) is the vector from the tail of the first vector to the tip of the second.
www-spof.gsfc.nasa.gov /stargaze/Sgloss.htm   (14613 words)

 eccentricity is ruled out
In the Milankovitch theory, the peak near 0.01 (100 kyr period) is attributed to eccentricity, the peak near 0.024 (41 kyr period) to obliquity, and the peak near 0.043 (23 kyr period) to precession.
The disagreement between the spectra of the climate and the spectrum of the eccentricity is evident.
The inclination i is the angle between this vector and the vector of the reference frame; Omega is the azimuthal angle = the angle of the ascending node (in astronomical jargon)..
muller.lbl.gov /papers/nature.html   (5498 words)

 Celestial Mechanics   (Site not responding. Last check: 2007-11-05)
Vector subtraction is defined by A - B = A + (-B), where the vector -B has the same magnitude as B but the opposition direction.
Forces can be added just like vectors, so that force 1 and force 2 add together to produce the total force, F. Total force F can also be broken into components x and y that correspond to the forces in the x and y directions (for example, along a road and with gravity).
With vector calculus, Newton was able to develop a cosmology which included the underlying cause of planetary motion, gravity, completed the solar system model begun by the Babylonians and early Greeks.
zebu.uoregon.edu /~js/ast221/lectures/lec08.html   (1038 words)

 Coordinate Transformations   (Site not responding. Last check: 2007-11-05)
The position vectors may be in either equatorial or ecliptic coordinates depending upon the reference system of the classical elements.
The coordinate system for the vector data remains the same as the coordinate reference for the classical elements which were transformed.
All that is necessary is to compute the projections of the unit vector in spherical coordinates onto the ecliptic axes.
www.tamuk.edu /math/scott/stars/transformations.htm   (500 words)

 Orbital eccentricity - Wikipedia, the free encyclopedia
The eccentricity of this conic section, the orbit's eccentricity, is an important parameter of the orbit that defines its absolute shape.
Eccentricity may be interpreted as a measure of how much this shape deviates from a circle.
Through time, the eccentricity of the Earth's orbit slowly changes from nearly 0 to almost 0.05 as a result of gravitational attractions between the planets (see graph [1]).
en.wikipedia.org /wiki/Eccentricity_(orbit)   (536 words)

The mapping from a state vector to equivalent elements is undefined for certain state vectors, and the mapping is difficult to implement with finite precision arithmetic for states near the the subsets of R6 where singularities occur.
This can occur when the eccentricity of the orbit is close to but not equal to 1.
One recommended "sanity check" on the outputs is to supply them to the CSPICE routine conics_c and compare the resulting state vector with the one supplied to this routine.
www.gps.caltech.edu /~marsdata/cspice/oscelt_c.html   (824 words)

 Geoid and Ellipsoid :: Understanding Geospatial Geometry (Mapping Toolbox)
The Mapping Toolbox is equipped with ellipsoidal models that represent the figures of the Sun, Moon, and planets, as well as a set of the most common ellipsoid models of the Earth.
The ellipsoid vector's values are the semimajor axis, in kilometers, and eccentricity.
This indicates that the earth's eccentricity cannot be portrayed at scales of less than 1:40,000,000, which is roughly the scale of a world map shown on a page of this document.
www.mathworks.com /access/helpdesk/help/toolbox/map/geogeom3.html   (938 words)

 Section 5.8 Station Keeping Services
The eccentricity target graphic reflects a constant offset from the nominal orbit eccentricity vector.
are the eccentricity vector components for the actual orbit, and H,K are the analogously defined eccentricity vector components for the nominal orbit, the Eccentricity Planner allows the user to edit eccentricity burns using a point and click mouse interface.
The eccentricity vector delta is represented by the red trace.
www.integ.com /OasysManual/sect_5/sect5_8.htm   (1806 words)

 Mapping Fundamentals (Mapping Toolbox)
The geoid vector, along with several other kinds of planetary data for each of the planets and the Earth's moon, can be queried using the
They differ because of the surveying information upon which they are based, or because certain regions of interest of the true geoid are best modeled by a particular ellipsoid that may be less accurate for other parts of the world.
Several other geoid vectors are supported, for models ranging from Everest's 1830 ellipsoid (used for India) to the International Astronomical Union ellipsoid of 1965 (used for Australia).
www.weizmann.ac.il /matlab/toolbox/map/fundm112.html   (684 words)

 3.2 Preferred-frame effects and non-conservation of momentum
is a unit vector in the direction from the pulsar to the Earth.
]), the spin axis of the pulsar may be assumed to be aligned with the orbital angular momentum of the system, hence the net effect of the acceleration will be to induce a polarization of the eccentricity vector within the orbital plane.
is a unit vector from the centre of mass to the periastron of
relativity.livingreviews.org /Articles/lrr-2003-5/node8.html   (1049 words)

 ACT Advanced Concepts Team   (Site not responding. Last check: 2007-11-05)
The optimal direction to align the action transferred to the asteroid, is along the velocity vector.
If a fixed inertial direction has to be chosen to align the action with (having the capability of thrusting for a long time), the one perpendicular to the asteroid eccentricity vector and the orbital plane is optimal.
The orbit of the asteroid is assumed to have a.7 eccentricity and a 3.7 AU semi-major axis.
www.esa.int /gsp/ACT/mission_analysis/asteroid.htm   (716 words)

 3.1 Strong Equivalence Principle: Nordtvedt effect
For low-eccentricity orbits, by far the largest effect will be a long-term forcing of the eccentricity toward alignment with the projection of
First is the actual component of the observed eccentricity vector (or upper limit) along a given direction.
Prospects for improving the limits come from the discovery of new suitable pulsars, and from better limits on eccentricity from long-term timing of the current set of pulsars.
relativity.livingreviews.org /Articles/lrr-2003-5/node7.html   (715 words)

 geoid vector (Mapping Toolbox)   (Site not responding. Last check: 2007-11-05)
The geoid vector is a one- or two-element vector that describes a spheroid approximating the geoid.
Its normal form is a two-element vector of the form:
When only one element is provided, a spherical (0) eccentricity is assumed.
www.tau.ac.il /cc/pages/docs/matlab/help/toolbox/map/geoidvector.html   (116 words)

 Images, Movies, and Presentations   (Site not responding. Last check: 2007-11-05)
The magnitudes of the eccentricities can be read either from the plot at the bottom of the film, or from the "eccentricity vectors" attached to the orbits.
Each eccentricity vector is rooted at the periastron of a planet's orbit, and its length is proportional to the orbital eccentricity.
After crossing numerous resonances, the planets occupy eccentric orbits that are apsidally anti-aligned.
astro.berkeley.edu /~echiang/im/im.html   (452 words)

 Laplace-Runge Lenz vector   (Site not responding. Last check: 2007-11-05)
I understand the components (comparing centrifugal force to gravitational force) and, more importantly, that if you multiply the LRL by the reciprical of the geocentric gravitational constant (or helio..., etc), you get a vector that points towards perigee in a magnitude that tells you your eccentricity.
If it was designed to calculate an orbit's eccentricity, you would think he would have divided out the geo/helio/etc centric constant right off the bat.
It was noted that since it commuted with the hamiltonian (possion brackets there i guess, classically) there was a larger symmetry algebra and another conserved quantity.
www.physicsforums.com /showthread.php?t=35382   (517 words)

 [No title]   (Site not responding. Last check: 2007-11-05)
E0 - Eccentric Anomaly -2Pi to 2Pi rad
The Mean and Eccentric, parabolic, or hyperbolic anomaly is also found.
E0 - Eccentric Anomaly 0.0 to 2Pi rad
www.gb.nrao.edu /mlln/elsets/AST2BODY.C   (1937 words)

 The asymmetric reflectivity effect on the LAGEOS satellites and the germanium retroreflectors
The position of the cubes play a crucial role in defining the characteristics of the effect and its impact in the satellites orbit.
We analyzed the long-term effects of the perturbation in the satellites eccentricity vector excitations and in their perigee rate.
With the new model we have been able to reproduce the time evolution of LAGEOS eccentricity vector excitations and perigee rate as due to the empirical effect.
www.agu.org /pubs/crossref/2003/2003GL017741.shtml   (248 words)

 CDDIS | Bulletin Volume 9, No. 6   (Site not responding. Last check: 2007-11-05)
This oversight caused an orientation error of approximately 2.1 degrees in the computation of the eccentricity vector from the telescope to the main marker.
The new corrected vector is now available in the eccentricity data base from Danny van Loon (and the CDDIS).
Using this correct vector, the site velocity of Karitsa, computed from the laser observations in 1986 and 1989 is approximately zero, compared to the Eurasian plate.
cddis.gsfc.nasa.gov /bulletin_v9n6.html   (2610 words)

 [No title]
The program uses Encke's Method and Runge-Kutta Fourth // Order methods to determine the position and velocity of the spacecraft // while inside the atmosphere.
// // The radius and velocity orbital vectors are output in the x-y plane // in the file rvector.txt.
The file is in the form Rx Ry Vx Vy.
filebox.vt.edu /r/rywood/main_encke_5_2.cpp   (476 words)

 Journal of Research of the National Institute of Standards and Technology
The drag profile, that is, the projection of the entire shell is approximated by the convex envelope of those ellipses.
The area of the drag profile, that is, the drag area, and its center of area moment, that is, the drag center, are then calculated and permit determination of the drag vector and the eccentricity vector from the center of gravity of the shell to the drag center.
The tanks are assumed to be either evacuated or pressurized with a uniform internal gas distribution: dynamic shifting of the tank center of mass due to residual propellant sloshing is not considered.
nvl.nist.gov /pub/nistpubs/jres/111/2/cnt111-2.htm   (1484 words)

 [No title]   (Site not responding. Last check: 2007-11-05)
Eccentricity vector in "NEU" type is undergone to $ a transformation to "XYZ" system.
Eccentricity $ 0.0, 0.0, -0.0437 m (NEU) is set before 1999.05.01 $ according to local survey K. Takashima et al., $ "Status and Results of GSI Domestic VLBI Network", $ Bulletin of the Geographycal survey Institute, Vol.
$ 2003.02.09 L. Petrov Added eccentricity of PENTICTN 7283 for epochs $ 1996.01.01-00:00 2050.01.01-00:00 -- e-mail $ message from Anthony Searle of 2003.02.07-10:58:36 -0500 $ 2003.02.25 D. Gordon, Added eccentricity for SVETLOE.
gemini.gsfc.nasa.gov /solve_save/ECCDAT.ecc   (360 words)

Each one of these terms has a specific meaning and so it is important to consistently use the same sign when referencing it.
e: general unit vector, eccentricity, mechanical efficiency, coefficient of restitution
N: normal force or component of a vector
physics.gallaudet.edu /ritsic/TVSTATI.HTM   (221 words)

 [No title]
The angular momentum points up the axis of the gyroscope; the torque points essentially out of the page (as drawn).
If you glue the torque vector onto the angular momentum vector, the new angular momentum has a component out of the page.
That means the head of the angular momentum vector would be moving out of the page, and thus the angle of nodes would be decreasing, thus there is a regression.
astsun.astro.virginia.edu /~wnc5c/Class/MSIM695/quiz3_sol.doc   (411 words)

 Geostationary Orbit Determination for Time Synchronization using Analytical Dynamic Models
The perturbation force models applied for satellite dynamics include the geopotential perturbation up to fifth degree and order harmonics, luni-solar perturbations, and solar radiation pressure.
All of the perturbation effects were analyzed by secular, short, and long period variations for equinoctial orbit elements such as semimajor axis, eccentricity vector, inclination vector, and mean right ascension of the geostationary satellite.
The reference stations for orbit determination were composed of four calibrated stations.
www.ewh.ieee.org /soc/aes/taes/aes404/4041132.htm   (324 words)

The Orbital Velocity Vector and Kepler's Third Law
The Relationships between True, Eccentric, and Mean Anomaly
Relating Eccentric Anomaly to the Swept Area Integral
web.nps.navy.mil /~ssweb/AA4362/AA4362.html   (284 words)

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