Examples of using Rectangular coordinates in English and their translations into Russian
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Converts between polar coordinates and rectangular coordinates.
Calculation of the plane rectangular coordinates, meridian rapprochement and Gauss projection scale in the 6th grid zone using geodetic coordinates. .
A formula for the direct calculation of latitude rectangular coordinates is offered.
These are rectangular coordinates of SO in J2000 coordinate system with a time step of 1 minute, starting from the reference time of the orbit and for the week ahead.
On the establishment of an unified global rectangular coordinates for the whole of Russia.
Precision algorithms for the direct calculation of spatial geodetic coordinates by rectangular coordinates.
On the transition from space rectangular coordinates to geodetic without approximations.
An analysis of known algorithms for computing geodetic latitude of a spatial rectangular coordinates is considered.
For transition from parallaxes of Gause- Kruger's rectangular coordinates of district points used formulae known in spheroidal geodesy.
The analizis known of algorithmes for calculation of geodetic height on spacic rectangular coordinates is considered.
Algorithms with improved convergence for the calculation of rectangular coordinates in the Gauss- Kruger coordinate system according to the parameters of any ellipsoid were designed.
Investigation of recurrence formulas for calculating latitude in the transition from spatial rectangular coordinates to geodetic.
In this paper we consider the simplest case of spatial rectangular coordinates reduction, when the satellite receiver is installed above the mark of the point.
The impact of observation conditions on quality parameters of discrete Kalman filters with observation of rectangular coordinates/ P.A.
Algorithms for calculating the dynamic corrections and calculations of rectangular coordinates with automatic light of these amendments are developed.
Afterwards the correction equation coefficients are calculated by differentiating the formula for calculating the second derivative of the gravitational potential on the rectangular coordinates x, y, z.
Reliable and easy method for converting geodetic rectangular coordinates into curvilinear ones.
The matter of reduction of the spatial rectangular coordinates X, Y, Z, measured by satellite equipment, related to the geometric center of the receiver of satellite measurements(CPSI), to by the coordinates of the mark of geodetic points Xp, Yp, Zp is quite topical.
The second derivative of the gravitational potential in the correction equation on the rectangular coordinates x, y, z is used as a measured variable.
In terms of formulae earlier derived by the authors with improved convergence for the calculation of planar rectangular coordinates by geodesic coordinates, the algorithms for determining the convergence of meridians on the plane and the scale of the image are obtained.
Development of mathematical model Gauss- Kruger coordinate system for calculating planimetric rectangular coordinates using geodesic coordinates. .
The point of origin of the tangent plane coordinate system can be expressed in terms of the inertial frame either in rectangular coordinates(x, y, z) or spherical coordinates(r, θ, φ), where r is the radius of the sphere, θ is the longitude and φ is the latitude.
Starting from Version 1.5 the following opportunities are introduced in AMPLE: calculation of criteria of Tisserand for orbits of any set of minor planets with respect to the orbit of some ordered body(major or minor planet); calculation of photometric diameters of any set of minor planets(section"Elements");calculation of ephemeris in rectangular coordinates for any set of major planets and minor planets with respect to the center of some ordered minor planet section"Ephemerides.
This article contains analysis of mathematical models built depending on longitude difference degree,that are used for calculating planimetric rectangular coordinates in accordance with geodesic coordinates in the longitudinally expanded zones of Gauss Kruger conformal projection.
The problem is solved by introduction of spherical coordinates for the 3D-sphere and their transformation into the rectangular coordinates, using the mathematical cartography methods.
Thus, application of described in the article methods allows, first,solving geodetic structures without considering any certain system of plane rectangular coordinates, second, avoiding complicated formulas and algorithms, which appear when solving geodetic tasks on ellipsoid.
The necessity to solve the fourth degree equation is a peculiarity of the task to recalculate some space rectangular coordinate data into some geodesic ones.
The earliest surviving rectangular coordinate map is dated to the 13th century and is attributed to Hamdallah al-Mustaqfi al-Qazwini, who based it on the work of Suhrāb.
The earliest surviving world maps based on a rectangular coordinate grid are attributed to al-Mustawfi in the 14th or 15th century, and to Hafiz-i Abru died 1430.
The accuracy of defining the rectangular coordinate data when using the Global Navigation Satellite Systems has been constantly increasing, but it is necessary to represent the location of the points on the Earth's surface within the geodesic coordinate data system in numerous appendices.