# Polar distance

## Definitions

• Webster's Revised Unabridged Dictionary
• Polar distance the angular distance of any point on a sphere from one of its poles, particularly of a heavenly body from the north pole of the heavens.
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## Usage

### In literature:

In this triangle we have given the polar distance, P S = 10 deg.
"Scientific American Supplement No. 360, November 25, 1882" by Various
On g g is a movable pivot, to which h, which determines the pole, k0 h being the polar distance.
"Scientific American Supplement, No. 794, March 21, 1891" by Various
This gave Butts time to increase the distance between them, but a man is no match for a polar bear in a race.
"Fast in the Ice" by R.M. Ballantyne
The Polar Distance of any point is its distance in arc from either pole.
"Lectures in Navigation" by Ernest Gallaudet Draper
In the measurement of equatorial co-ordinates, the polar distance is determined in an analogous way.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7" by Various
On March 7 we began a straight run to the Polar sea, a distance of one hundred and seventy miles.
"My Attainment of the Pole" by Frederick A. Cook
The axis of rotation AB bears a rigidly attached rod DBC inclined to it at an angle equal to the sun's polar distance.
"Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 2" by Various
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### In news:

Readers who set out to read "South with the Sun," by the renowned cold-water distance swimmer Lynne Cox, will doubtlessly gear themselves up for an account of one of the greatest polar explorers ever.
Long-distance swimmer and author Lynne Cox traces the path of polar explorer Roald Amundsen – just in time for the centennial of his arrival at the South Pole.
I see my first polar bear from a distance of 300 feet - straight down.
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### In science:

In this case, due to the presence of the non-zero net charges, the colliders can be effectively polarized even being separated by a large distance, r ≫ Rat .
Relativistic effects in polarizational bremsstrahlung
Using a different analysis of polarization observation of radio galaxies, Nodland and Ralston found indication of anisotropy in electromagnetic propagation over cosmological distances with a birefringence scale of order 1025 m (i.e., about 0.1 - 0.2 Hubble distance). This gave ∆φ ~ 5 - 10 over Hubble distance).
Empirical Foundations of Relativistic Gravity
At a critical distance R = Rc the electronic response is no longer conﬁned to a polarization within the surface but results in transfer of electrons into high lying states of the pro jectile.
Collisions of Slow Highly Charged Ions with Surfaces
Further information such as polarization measurements could even provide independent distance measurements between the observer and the explosive event (Sparks et al. 1999). A statistical estimate of the distribution of SN Ia relative to the structures in spiral galaxies will become possible as the sample size grows.
A Light Echo from Type Ia Supernova 1995E?
In addition, the muon track candidate must cross the entrance and the exit of the polarized target at a distance smaller than 5 cm from the beam axis.
The COMPASS Experiment at CERN
DG Tau’s bi-polar jet has meanwhile been identiﬁed in X-rays out to a distance of 5′′ from the star (G ¨udel et al. 2008).
X-rays from young stars - a summary of highlights from the XMM-Newton Extended Survey of the Taurus Molecular Cloud (XEST)
The resulting artefacts affect I data but are more pronounced in Q and U images because the instrumental polarization rises rapidly with distance from the ﬁeld centre (see Section 3.5).
A Survey of the Polarized Emission from the Galactic Plane at 1420 MHz with Arcminute Angular Resolution
If the Polarization Arc is a Perseus Arm feature at a distance of 2.2 kpc its size is ∼550 pc.
A Survey of the Polarized Emission from the Galactic Plane at 1420 MHz with Arcminute Angular Resolution
We suggest that the W4 Polarization Arc may be at the same distance as the H ii complex, and it may be related to the star-formation activity there.
A Survey of the Polarized Emission from the Galactic Plane at 1420 MHz with Arcminute Angular Resolution
Figure 6 shows the radial velocities of the total light and polarized light versus the distance from the nucleus.
Spectropolarimetry of the superwind filaments of the starburst galaxy M82: kinematics of dust outflow
Magnetic ﬁeld lines that originate from small polar angles on the planet surface curve off to large distances.
Magnetically Controlled Outflows from Hot Jupiters
The bottom panel shows spectral energy distributions of the GW signal emitted along the polar axis for their representative 3D model experiencing the low-T /|W | instability (model R4STCA) at a distance of 10 kpc.
Multiple physical elements to determine the gravitational-wave signatures of core-collapse supernovae
From the deﬁnition there follows easily that the multiplicative k>1 kδ(G,k), where δ(G, k) is the number of vertex pairs in G that are at distance k (see Eq. (5a) in (A196061). (c) The Wiener polarity index.
Tree statistics from Matula numbers
Obviously, taking other coeﬃcients in the Wiener polynomial, one obtains generalized Wiener polarity indices (see ). (d) In one introduces a family of statistics on a connected graph G, based on the graph distances.
Tree statistics from Matula numbers
The ob jects position is expressed in polar coordinates where the distance from the center of the FoV is given in arcsec and the rotation angle with respect the horizontal axis is given in degrees.
Design of the wavefront sensor unit of ARGOS, the LBT laser guide star system
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