... The operators will be explained as they are used. The general notion to keep in mind is that any combination of these operators results in a 2- D affine coordinate transformation in the TF plane, which may be represented using the homogeneous coordinates often used in computer graphicsfoley. ... S _t_c,f_c = g_t_c,f_c,(_t) | ... We denote a time shift to the position , with an operator that has a multiplicative law of composition : (Table 1). ... Note that these two operators do not commute. ...

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• CONCLUSION

WorldOrImageCoords - class representing either world or image coordinates . include WorldOrImageCoords .h class WorldOrImageCoords { ... public: WorldOrImageCoords (); WorldOrImageCoords (WorldCoords wc); WorldOrImageCoords (ImageCoords ic); isNull() const ; void setNull(); friend ostream operator (ostream os, const WorldOrImageCoords pos ); void print(char* x_buf, char* y_buf, double equinox = 2000., int hmsFlag=1); void print(ostream os, double ...

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• ImageCoords(3)
• Basic Canvas Architecture
• WorldCoords(3)

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... We describe a new library (AST) which provides a flexible high-level programming interface for handling world coordinate systems in astronomy and for producing graphical output. ... Relationships between coordinate systems are represented within AST by objects called Mappings. ... While Mappings represent the relationships between coordinate systems, the coordinate systems themselves are represented by objects called Frames. ... Like all objects, a Frame also provides methods. ...

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• Interpolation of Irregularly Sampled Data Series---A Survey

... casa::LinearXform . ... LinearXform (const Vector < Double > &crpix, const Vector < Double > &cdelt) . Construct the linear transformation from the supplied reference pixel and increment. LinearXform (const Vector < Double > &crpix, const Vector < Double > &cdelt, const Matrix < Double > &pc) . ... forward ( Vector < Double > &pixel, const Vector < Double > &world, String &errorMsg) const . ... crpix (const Vector < Double > &newvals) . ... Vector < Double > casa::LinearXform::crpix . ...

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• casacore: coordinates/Coordinates/LinearXform.h Source File
• Tools - Conversion of coordinates
• WCSLIB: sph.h File Reference

Geometric Algebra 2 Quantum Theory Chris Doran Astrophysics Group Cavendish Laboratory Cambridge, UK Spin · Stern-Gerlach tells us that electron wavefunction contains two terms · Describe state in terms of a spinor S N · A 2-state system or qubit MIT2 2003 2 Pauli Matrices · Operators acting on a spinor must obey angular momentum relations · Get spin operators · These form a Clifford algebra · A matrix representation of the geometric algebra of 3D space ...

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• Summary of continuous linear systems

... Representing Coordinate Systems (Frames) While Mappings represent the relationships between coordinate systems, the coordinate systems themselves are represented by objects called Frames. ... A Plot's base Frame corresponds with the native coordinates of the underlying graphics system. Plotting operations are specified, using AST Plot methods, in physical coordinates which correspond with the Plot's current Frame (typically this might be a celestial coordinate system). ...

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• Space Telescope-European Coordinating Facility

XMM-Newton Science Analysis System . ... include changes in version 3.6.5 etc . Module name: coordinate . ... This module contains subroutines to perform a variety of coordinate transformations. Where possible the cal coordinate-transformation routines are used. The present subroutines have been designed to act as wrappers-of-convenience for one or more of the cal routines rather than to supplant them. ... XMM-Newton SOC/SSC -- 2007-07-08 ...

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• Algorithm
• Time coordinate system (TIMCOORD)
• Attitude variation

Hide Zen home . ... Module knngist provides: . ... Find 10 most closest points to the Eiffel tower in Paris, which has 'mars' in their address. ... Champs de Mars, Paris 75007, France | ... 16, ave Rapp, Champ de Mars, Tour Eiffel, Paris, France | ... Champ de Mars Paris, France | ... 39 Rue Champ De Mars Paris, France | ... 12 rue du Champ de Mars Paris, France | ... Find 10 most closest points to the Eiffel tower from the 1st arrondissement of Paris (Paris 1), which addresses contains 'place'. ...

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• FTS Overview
• Zen: 2009-08-12
• Full-text indexes

... Abstract Return a 3x3 matrix that transforms positions in inertial coordinates to positions in body-equator-and-prime-meridian coordinates. ... J2000 B1950 Earth mean equator, dynamical equinox of B1950 FK4 Fundamental Catalog (4) DE-118 JPL Developmental Ephemeris (118) DE-96 JPL Developmental Ephemeris ( 96) DE-102 JPL Developmental Ephemeris (102) DE-108 JPL Developmental Ephemeris (108) DE-111 JPL Developmental Ephemeris (111) DE-114 ...

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• CSPICE Routines: LATREC_C
• CSPICE Routines: ROTVEC_C
• CSPICE Routines: CYLREC_C

Stellar Clusters are very useful laboratories for empirically studying stellar evolution. ... All cluster stars are at the same distance . All cluster stars have the same physical age . ... CM diagram Young Cluster In this case we see the Main Sequence fully represented. The blue dots represent massive stars with short main sequence lifetimes. ... Thus, identifying the most massive star which is still on the main sequence is an effective means of determining the age of a stellar cluster. ...

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• Potential and Kinetic Energy
• Cosmological Issues for Theorists
• All about Jupiter

... The colors indicate the relative motions of galaxies with accurately measured distances, with shades of green and blue indicating motions toward us and shades of yellow to red indicating motions away from us. Our nearest neighbors have only small relative motions (represented by yellows and greens), as seen best in the exploded view of the right panel. We, along with all these nearest neighbors, are moving together toward the lower right corner of the figures. ...

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• What exactly is a degree in terms of the distance between stars? | Astronomy...
• What are typical star-to-star distances in globular clusters compared to
• We are made up of elements forged in stars. But with the vast distances between

... connection points . ... The point P3 is the connection between the horizontal and vertical actuators and is the axis of rotation for the tail gunner motion. processing: survey/020204/reduc We can compute P3,P5 (the moveable points) in dome centerline coordinates if we have the actuator distances and we know the positions of the above connection points in dome centerline coordinates for a given position of the tertiary (say the nominal focus position).(see actuator distances to dome centerline ). ...

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• composition

lsst.coordConv љ unknown . ... coordConv::Coord Class Reference . ... Coord (double equatAng, double polarAng, double parallax=0) . ... Definition at line 27 of file coord.h . ... Definition at line 227 of file coord.cc . ... Definition at line 150 of file coord.cc . ... Definition at line 134 of file coord.cc . ... Definition at line 142 of file coord.h . ... Definition at line 135 of file coord.h . ... Definition at line 141 of file coord.cc . ... Definition at line 172 of file coord.cc . ...

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• lsst.coordConv: coordConv: Astronomical Coordinate Conversions
• lsst.coordConv: coordConv::PVTCoord Class Reference
• lsst.coordConv: coordConv::AppGeoCoordSys Class Reference

... Archives . ... Therefore, under different names, I believe that the Mahalanobis distance is frequently applied in exploring and analyzing astronomical data. ... Including the usage given in these papers, the Mahalanobis distance is popularly used in exploratory data analysis (EDA): 1. measuring distance, 2. outlier removal, 3. checking normality of multivariate data. ... Tags: LDA , MADS , Mahalanobis , Mahalanobis distance , multivariate , outliers , PCA . ... Chandra Blog . ... SAMSI AstroStat...

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• The AstroStat Slog Mahalanobis distance
• The AstroStat Slog Morphological operator
• The AstroStat Slog distance ladder

Russian SHAREABLE DATA CENTER Institute of Solar-Terrestial Physics SB RAS . ... The algorithm and appropriate program for decametric radiosignal propagation conditions prediction for paths from 500 to 9000 km have been developed at ISTP SB on the basis of normal wave method (AltyntsevaB.I,Iliyin N.V., Kurkin V.I. and others //Decameters channel simulation on the base of normal wave method . ... Solar activity indices are chosen automatically from the prediction date from the database . ...

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• East Siberian Center for the Earth's Ionosphere Research. Databases.

... Orbit trace geographical coordinates on the last day of flight . Predicted "landing point" coordinates . Orbit in the topocentrical c/s of the "landing point" . The local topocentrical C/S connected with arbitrary point Lp on the Earth surface: . Origin on the point Lp . ... Elevation : The SC angular distance from the local horizontal plane. ... The last day of flight is shown in the predicted "landing point" (Lp) local topocentrical coordinate system . ... INTERBALL mission  ...

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• Trigonometry beyond 90 degrees
• Distance to the Horizon
• Estimating the Moon's Distance

... Classes . ... gTime Class Reference . This class implements time calculations. ... gTime (double ai_jDays=0) . ... gTime (const gTime &timeSrc) . ... Set the time value of the time object to the julian day of year, day. ... operator= (const gTime &timeSrc) . ... Returns the time GMT value in Julian days. ... Returns the time_t value of the gTime Object. ... Returns a gTime object setted with the actual machine time. ... gTime Object assigned with real machine time. double gTime::getGmtTm . ...

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• Stellarium: Pulsar Class Reference
• Stellarium: Supernova Class Reference
• Stellarium: Quasar Class Reference

... In polar coordinates, the point P is defined by its distance r from the origin O (see drawing) and by its polar angle ("azimuth" on a map) between the x-axis and the "radius" r = OA, measured counter-clockwise. ... When one or both are negative , the angle f is larger than 90 degrees, and such angles never appears in any right-angled triangle. ... There is a simple solution , though: use the above equations to re-define sin f and cos f for such larger angles! ... But it also works for larger angles....

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• The Lagrangian Point L1
• Kepler's First Law of Planetary Motion
• Corrected Geomagnetic Coordinates

UNIVERSAL COORDINATES TRANSFORMER . EPOCH1: . EQUATORIAL COORDINATES FOR EPOCH1 . ... rad . ... EPOCH2: . EQUATORIAL COORDINATES FOR EPOCH2: . ... ECLIPTIC COORDINATES FOR EPOCH1 . ... ECLIPTIC COORDINATES FOR EPOCH2 . ... GALACTIC COORDINATES . ... Type initial epoch (epoch1), final epoch (epoch2) and needed coodinates (equatorial a 1 , d 1 for epoch1, ecliptic l 1 , b 1 for epoch1 or galactic l,b) and press corresponding "SUBMIT" (if EPOCH2=EPOCH1, EPOCH2=EPOCH1+10). ...

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