450
450

Sep 7, 2018
09/18

by
Mukut Mani Tripathi

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COORDINATE GEOMETRY (Polar Coordinates Approach) Mukut Mani TripathiÂ BHU

Topic: COORDINATE GEOMETRY (Polar Coordinates Approach)

H.M. Kenwood & C. Plumpton Curve Sketching Macmillan Education 1983 Acrobat 7 Pdf 3.66 Mb. Scanned by artmisa using Canon DR2580C + flatbed option

Topics: Mathematics, Transendental Curves, Polar Coordinates

247
247

Sep 18, 2014
09/14

by
Patrick Bruskiewich

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In some questions about orbital mechanics a useful two-dimensional coordinate system is the Tangential Polar Coordinate System. In this system a trajectory is defined by the distance from a point of origin O to a point P, as well as the perpendicular distance from the O to the tangent of the trajectory at point P. This short paper will derive an expression for the radius of curvature at P in terms of the offset distance p which is the perpendicular to the tangent line from P and goes through O....

Topics: Radius of curvature, tangential polar-coordinates

Folkscanomy Electronics Articles: Complex Numbers Explained

Topics: engineering, complex number, polar coordinates, cartesian coordinates, argand diagram

901
901

Sep 25, 2017
09/17

by
Gilbert Strang, Edwin Herman

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This is a textbook for mainstream calculus typically taught over three semesters. The production qualities are high and the books look like commercially published books. There are overlapping chapters in each volume to provide some flexibility in scheduling and to minimize the chance that more than one volume will be required for each semester.

Topics: integration, applications, differential equations, sequence, series, power series, parametric...

492
492

Feb 4, 2017
02/17

by
David Guichard

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Contents: ReviewÂ FunctionsÂ Limits Derivatives Applications of Derivatives Integration Techniques of Integration Applications of Integration Differential Equations Polar Coordinates, Parametric Equations Available from the Open Textbook Library:Â https://open.umn.edu/opentextbooks/BookDetail.aspx?bookId=212

Topics: Calculus, Functions, Limits, Derivatives, Integration, Differential equations, Polar coordinates,...

M.B. Glauert Principles of Dynamics Routledge & Kegan Paul Ltd. 1960 Acrobat 7 Pdf 11.5 Mb. Scanned by artmisa using Canon DR2580C + flatbed option

Topics: Mathematics, Vector Algebra, Newton's Laws, Polar Coordinates, Impulse, Momentum, Angular Momentum,...

443
443

Jul 11, 2010
07/10

by
NON

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The engineering analyses and evaluation studies conducted for the Software Requirements Analysis are discussed. Included are the development of the study data base, synthesis of implementation approaches for software required by both mandatory onboard computer services and command/control functions, and identification and implementation of software for ground processing activities.

Topics: COMETS, SOLAR CYCLES, LATITUDE, SOLAR WIND VELOCITY, STATISTICAL ANALYSIS, VARIATIONS, POLAR...

176
176

Jul 26, 2010
07/10

by
Chiu, Hong-Yee; Chiu, Celia C

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No Abstract Available

Topics: LORENTZ CONTRACTION, RELATIVISTIC THEORY, MATHEMATICAL MODELS, RADAR MEASUREMENT, RELATIVISTIC...

The technique of range differencing with Lageos ranges to obtain more accurate estimates of baseline lengths and polar motion variation was studied. Differencing quasi simultaneous range observations eliminate a great deal of orbital biases. Progress is reported on the definition and maintenance of a conventional terrestrial reference system.

Topics: NASA Technical Reports Server (NTRS), EARTH MOVEMENTS, GEODYNAMICS, GEOPHYSICAL OBSERVATORIES,...

219
219

Jun 21, 2010
06/10

by
Cambi, E

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Direct and planetary equations for transfer orbit corrections by means of small thrust

Topics: GAS VISCOSITY, THERMAL CONDUCTIVITY, HYPERSONIC FLOW, NAVIER-STOKES EQUATION, STAGNATION POINT,...

171
171

May 27, 2011
05/11

by
DITRYAKIN, I. F.; YAGODKIN, V. I

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THE INFLUENCE OF THE OSCILLATIONS OF THE VELOCITY IN A LIQUID JET AND THE DENSITY OF THE MEDIUM SURROUNDING A CYLINDRICAL JET, ON THE DISINTEGRATION OF THE JET, IS CONSIDERED THEORETICALLY. THE METHOD OF SMALL PERTURBATIONS BEGINNING WITH THE VELOCITY POTENTIAL EQUATION IS USED. THE FOLLOWING CONCLUSIONS WERE DERIVED: (A) DURING THE OSCILLATIONS OF THE VELOCITY OF A LIQUID JET THE CHARACTER AND THE LENGTH OF THE WAVES OF THE UNSTABLE PERTURBATIONS ARE SUBJECT TO CHANGE AND THERE APPEARS A GREAT...

Topics: AERODYNAMIC DRAG, INDEPENDENT VARIABLES, SPHERICAL COORDINATES, GRAVITATIONAL FIELDS, EQUATORIAL...

generalmanual 000010660

Topics: deg, clears, display, rectangular, polar, pending, data, dms, digits, functions, trigonometric...

407
407

Jul 12, 2010
07/10

by
Mclallin, K. L

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The SSME fuel turbopump hot gas manifold was identified as a source of loss and flow distortion which significantly affects the performance and durability of both the drive turbine and the LOX injector area of the main combustion chamber. Two current SSME geometries were studied, the full power level (FPL) and the first manned orbital flight (FMOF) configuration. The effects of turnaround duct geometry on flow losses and distortions, by varying wall curvature and flow area variation in the 180...

Topics: BEARINGS, SPACE SHUTTLE MAIN ENGINE, TURBINE PUMPS, VECTORS (MATHEMATICS), CLEARANCES, DYNAMIC...

A statistical analysis is presented of the orientations of ionic comet tails in the solar wind. The analysis indicates that the radial solar wind speed is not necessarily higher near the solar poles than near the equator. The results refer to a long-term, global flow pattern and do not refer to short-term variations of solar wind speed.

Topics: NASA Technical Reports Server (NTRS), COMETS, LATITUDE, SOLAR WIND VELOCITY, STATISTICAL ANALYSIS,...

The services providing polar motion and universal time data are described. The precision and accuracy of these data are estimated.

Topics: NASA Technical Reports Server (NTRS), EARTH ROTATION, GEODESY, POLAR COORDINATES, ASTROMETRY,...

The global plate motion indicates that changes in the products of inertia of the earth due to tectonic plate movement may provide a secular shift of the mean pole. A mathematical procedure for calculating this shift based on the plate theory is presented. Explicit expressions were obtained for the dependence of the secular polar shift on the dimensions and locations of the plate boundaries. Numerical results show that the secular motion of the mean pole is 0.0002 sec/year in the direction of 67...

Topics: NASA Technical Reports Server (NTRS), EARTH MOVEMENTS, LONG TERM EFFECTS, POLAR COORDINATES,...

Utilizing marine magnetic anomalies and paleomagnetic pole positions, paleogeographic maps were constructed for three time intervals back to the Early Cretaceous. From the maps lithospheric plate motions were calculated and these global displacement fields were analyzed to determine best-fitting rigid rotations, which then could be ascribed to true polar wander. The values so obtained are no larger than a few degrees and are within the magnitude of the uncertainties involved.

Topics: NASA Technical Reports Server (NTRS), EARTH ROTATION, GEODESY, PALEOMAGNETISM, POLAR COORDINATES,...

Angus E. Taylor Calculus with Analytic Geometry Prentice-Hall International Inc. 1959 Acrobat 7 Pdf 30.3 Mb Scanned by artmisa using Canon DR2580C + flatbed option

Topics: Mathematics, Partial Differentiation, Differential Equations, Multiple Integrals, Limits, Infinite...

The two-grid simulation method combining advantages of both polar and Cartesian mesh-codes is described. In addition to the stellar component reacting solely to gravitational forces, the gas component is included with dissipatively colliding particles. This allows fairly realistic simulation of planar encounters where both systems contain star plus gas disks.

Topics: NASA Technical Reports Server (NTRS), CARTESIAN COORDINATES, COMPUTATIONAL GRIDS, COMPUTERIZED...

The daily latitude measurements of the International polar motion service are analyzed. The results indicate that the annual polar oscillation is probably due to local phenomena with amplitudes varying from 0.05 to 0.15 min. Within the resolution of the residuals (150 cm), there is no indication of the sharp changes which might be associated with earthquake effects. Then, applying Schuster's test to a periodogram of the residuals indicates that there are probably several processes occurring at...

Topics: NASA Technical Reports Server (NTRS), DATA REDUCTION, EARTH ROTATION, LATITUDE MEASUREMENT,...

The potential drop in the polar cap region of a rotating, magnetized neutron star is found assuming that the magnetic field is dipolar, with the field aligned (or anti-aligned) with the rotation axis. The curvature of the field lines is of critical importance. Charge flow is assumed to be along magnetic field lines. The electric field has a maximum at radius 1.5 R and the magnitude and functional form of the current is determined.

Topics: NASA Technical Reports Server (NTRS), AXISYMMETRIC BODIES, MAGNETIC STARS, NEUTRON STARS, PARTICLE...

The geophysical causes and consequences of the Earth's rotation are reviewed. Specific topics covered include: (1) the motion of the rotation axis in space, precession and nutation; (2) the motion of the rotation axis relative to the Earth, polar motion; and (3) the rate of rotation about this axis, or changes in the length of day. Secular decrease in obliquity and evolution of the Earth-Moon system are also discussed.

Topics: NASA Technical Reports Server (NTRS), EARTH ROTATION, GEODESY, GEODYNAMICS, GEOPHYSICS, ANNUAL...

By probing the field on a small subreflector at a minimal number of points, the main reflector surface errors can be obtained and subsequently used to design a phase-correction subreflector that can compensate for main reflector errors. The compensating phase-error profile across the subreflector can be achieved either by a surface deformation or by the use of an array of elements such as patch antennas that can cause a phase shift between the incoming and outgoing fields. The second option is...

Topics: NASA Technical Reports Server (NTRS), REFLECTOR ANTENNAS, PARABOLIC REFLECTORS, PHASE SHIFT, PHASE...

A method of generating solid models of terrain involves the conversion of topographical data into a form useable by a rapid-prototyping (RP) machine. The method was developed to enable the use of the RP machine to make solid models of Martian terrain from Mars Orbiter laser-altimeter topographical data. The method is equally applicable to the generation of models of the terrains of other astronomical bodies, including other planets, asteroids, and Earth. Topographical data describe a terrain in...

Topics: NASA Technical Reports Server (NTRS), TERRAIN, PLANETARY GEOLOGY, CARTESIAN COORDINATES, PLANETARY...

Earth tides affect astronomical observations of the Earth's rotation in the following two ways: (1) verticals are deflected; and (2) the polar moment of inertia of the Earth is changed causing periodic variations in the rotation rate. The diurnal and semidiurnal tides and nutation were examined in periodic variations. Results indicate little change occured in the polar motions. Nutation observations were disturbed rather seriously by the diurnal tides.

Topics: NASA Technical Reports Server (NTRS), ASTRONOMICAL COORDINATES, EARTH ROTATION, EARTH TIDES,...

Based on the analysis of the polar motion behavior, the possibility of predicting polar motion up to one year in advance was found. Comparing these predicted polar coordinates with the observed ones (smoothed), the root mean square (rms) of the differences is about 0.02 seconds. The differences of the relative polar motion are much smaller. For any time interval of 20 to 30 days throughout the whole year, the rms of the relative polar motion differences is about 0.01 second. Compared with the...

Topics: NASA Technical Reports Server (NTRS), EARTH ROTATION, POLAR WANDERING (GEOLOGY), ROOT-MEAN-SQUARE...

The plane elasticity problem for a cylindrically anisotropic solid is formulated. The form of the solution for an infinite wedge shaped domain with various homogeneous boundary conditions is derived and the nature of the stress singularity at the vertex of the wedge is studied. The characteristic equations giving the stress singularity and the angular distribution of the stresses around the vertex of the wedge are obtained for three standard homogeneous boundary conditions. The numerical...

Topics: NASA Technical Reports Server (NTRS), ANISOTROPIC MEDIA, APEXES, CYLINDRICAL BODIES, ELASTIC...

Topics include: (1) polar coordinate transformations (M83); (2) multispectral ratios (M82); (3) maximum entropy restoration (M87); (4) automated computation of stellar magnitudes in nebulosity; (5) color and polarization; (6) aliasing.

Topics: NASA Technical Reports Server (NTRS), ASTRONOMY, IMAGE PROCESSING, MAXIMUM ENTROPY METHOD, POLAR...

The expected motion characteristics of the real earth are systematically analysed based on available dynamical theories for the rigid model, the elastic earth model and the earth model with liquid core. The various axes which are implicit in the dynamical theories are investigated regarding observability on the basis of astronomical observations and suitability for defining reference directions. The observational insignificance of the ''diurnal polar motion'' is demonstrated. A special effort...

Topics: NASA Technical Reports Server (NTRS), ASTRONOMY, CELESTIAL MECHANICS, NUTATION, PERTURBATION...

Earth-based laser ranging to artificial satellites and to the moon is considered as a technique for monitoring the Earth's polar motion and diurnal rotation. The kinematics of Earth rotation as related to laser ranging is outlined. The current status of laser ranging as regards its measuring capabilities is reviewed. The relative merits of artificial satellite and lunar laser ranging are pointed out. It appears that multistation combined artificial satellite and lunar laser ranging is likely to...

Topics: NASA Technical Reports Server (NTRS), ARTIFICIAL SATELLITES, EARTH ROTATION, LASER RANGE FINDERS,...

The measurement of longitude of the Viking 1 landing site and the accuracy of the coordinates of features in the area around the landing site are discussed. The longitude must be measured photogrammatically from the small crater, Airy 0, which defines the 0 deg meridian on Mars. The computer program, GIANT, which was used to perform the analytical triangulations, and the photogrammetric computation of the longitude of the Viking 1 lander site are described. Improved coordinates of features in...

Topics: NASA Technical Reports Server (NTRS), COMPUTER PROGRAMS, MARS SURFACE, PHOTOGRAMMETRY, PLANETARY...

The basic principles of very-long-baseline interferometry as related to its use in the determination of vector baselines, polar motion, and earth rotation are presented. Aspects relevant to geodetic applications that involve observations of extragalactic radio sources are covered. The instrumentation used in these observations and the basic observables and their simplest interpretation are described. Complications of the interpretation due to the various geophysical 'signals' and nongeophysical...

Topics: NASA Technical Reports Server (NTRS), EARTH ROTATION, GEODESY, POLAR COORDINATES, TECHNOLOGY...

No abstract available

Topics: NASA Technical Reports Server (NTRS), METEOROLOGICAL PARAMETERS, CONVECTION, HIGH RESOLUTION, WIND...

3,251
3.3K

Oct 19, 2008
10/08

by
Frederick Shenstone Woods, Frederick Harold Bailey

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Book digitized by Google and uploaded to the Internet Archive by user tpb.

Topics: equation, sin, curve, find, axis, plane, center, values, straight, equations, area bounded,...

Source: http://books.google.com/books?id=CI9-sXVkMmcC&oe=UTF-8

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524

Feb 4, 2008
02/08

by
Preston Albert Lambert

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Topics: equation, equations, ellipse, point, points, sin, coordinates, straight, tangent, circle, analytic...

Source: http://books.google.com/books?id=xXkLAAAAYAAJ&oe=UTF-8

651
651

Mar 30, 2008
03/08

by
Norman Colman Riggs

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Topics: equation, curve, equations, locus, values, sin, coordinates, points, tangent, analytic, analytic...

Source: http://books.google.com/books?id=7ocLAAAAYAAJ&oe=UTF-8

An overview of NASA's involvement in developing systems for precise determination of polar motion, earth rotation, and position on the earth's surface is given. The observational methods discussed are laser ranging to the moon and to artificial satellites, and very long baseline microwave interferometry. A plan for a geodynamics program to apply space technology to research in earth dynamics is outlined.

Topics: NASA Technical Reports Server (NTRS), EARTH ROTATION, GEODESY, GEODYNAMICS, NASA PROGRAMS, POLAR...

generalmanual 000010662

Topics: stat, deg, clears, display, displayed, data, enter, digits, rectangular, polar, standard deviation,...

Folkscanomy: A Library of Books

13,085
13K

Dec 16, 2015
12/15

by
Smith, Robert T. (Robert Thomas), 1955-; Minton, Roland B., 1956-

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Calculus, 4th edition

Topics: figure, lim, exercises, sin, function, graph, solution, theorem, example, equation, parametric...

The Jeffcott model of a turbopump which was modified by adding deadband (clearance) effects along with fluid seal forces are currently understood. Equations of motion for the model were written in polar coordinates, and a constant side force was added to the model to account for the likely misalignment between bearings and seals. The force models and system equations of motion are described as well as limit cycle, and stability analyses. Studies of systems with rotor imbalance and with or...

Topics: NASA Technical Reports Server (NTRS), BEARINGS, CLEARANCES, DYNAMIC STABILITY, EQUATIONS OF MOTION,...

356
356

Jan 13, 2008
01/08

by
John Henry Tanner , Joseph Allen

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Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

Topics: equation, locus, point, equations, parallel, coordinates, axes, points, tangent, circle, second...

Source: http://books.google.com/books?id=lN83AAAAMAAJ&oe=UTF-8

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748

Feb 23, 2009
02/09

by
John Henry Tanner , Joseph Allen

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Book digitized by Google and uploaded to the Internet Archive by user tpb.

Topics: equation, locus, equations, point, parallel, coordinates, points, axes, tangent, hyperbola, second...

Source: http://books.google.com/books?id=K7gXAAAAIAAJ&oe=UTF-8

677
677

Mar 30, 2008
03/08

by
Norman Colman Riggs

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Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

Topics: equation, curve, equations, locus, values, sin, coordinates, points, tangent, analytic, analytic...

Source: http://books.google.com/books?id=zhYFAAAAMAAJ&oe=UTF-8

Bell System Technical Journal, 49: 7. September 1970 pp 1483-1490. The Flat Plate Problem for a Semiconductor. (Lewis, J.A.)

Topics: equation, plate, edge, potential, solution, parabolic, erf, erfc, semiconductor, field, electric...

This work treats the problem of weighted least squares fitting of a 3D Euclidean-coordinate transformation matrix to a set of unit vectors measured in the reference and transformed coordinates. A closed-form analytic solution to the problem is re-derived. The fact that the solution is the closest orthogonal matrix to some matrix defined on the measured vectors and their weights is clearly demonstrated. Several known algorithms for computing the analytic closed form solution are considered. An...

Topics: NASA Technical Reports Server (NTRS), ALGORITHMS, ATTITUDE (INCLINATION), ATTITUDE INDICATORS,...

745
745

Feb 6, 2008
02/08

by
John Henry Tanner , Joseph Allen

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Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

Topics: equation, locus, point, equations, parallel, coordinates, axes, points, tangent, ellipse, second...

Source: http://books.google.com/books?id=ahYFAAAAMAAJ&oe=UTF-8

2,442
2.4K

Apr 9, 2008
04/08

by
Frederick Shenstone Woods, Frederick Harold Bailey

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Topics: equation, sin, curve, find, axis, plane, center, equations, values, radius, area bounded, straight...

Source: http://books.google.com/books?id=xIgLAAAAYAAJ&oe=UTF-8

1,191
1.2K

Sep 28, 2008
09/08

by
Norman Colman Riggs

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Topics: equation, curve, equations, locus, values, sin, coordinates, analytic, tangent, points, analytic...

Source: http://books.google.com/books?id=VWsWAAAAYAAJ&oe=UTF-8

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224

Sep 20, 2008
09/08

by
William Woolsey Johnson

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Topics: integral, sin, equation, curve, axis, generated, radius, area, tan, log, elementary methods, area...

Source: http://books.google.com/books?id=AS4AAAAAYAAJ&oe=UTF-8