ISSN 0016-7126 (Print)

ISSN 2587-8492 (Online)

The article describes the methodology of a solution to the multiple azimuthal cut by new formulae, in which there are only coordinates of base stations and position angles of a cut direction. There are results of the sign simulation, confirming the application rightfulness of mentioned formulae. The method of using geometrical interpretation of position mistake of a determining point for accuracy rating and azimuthal cut optimization by a circle of standards with an inner excentricity is described in details. The method of using a circle of standards to find a position mistake of determining point in any two orthogonally related directions simultaneously is shown. There is the methodology of azimuthal cut E-optimization. There are shown two ways of solving this task, based on the choice of appropriate location of base stations or on the detection of geometrical parameters of accessory angular measurements. There is shown the method of using azimuthal cut to determine the heeling of tower- rounded structures.

References:

1. Padve V. A. Variant resheniya pryamoy uglovoy zasechki [Variant decision direct angular cut]. Issledovaniya po sovershenstvovaniyu inzhenerno-geodezicheskikh rabot: Mezhvuzovskiy sbornik, Novosibirsk, 1985, pp. 78-80. |

2. Padve V.A. (1999) Variations on the subject of straight cut. Geodesy and cartography, 710(9), pp. 47-48. |

3. Rukovodstvo po opredeleniyu krenov inzhenernykh sooruzheniy bashennogo tipa geodezicheskimi metodami [Guide to determining the heeling of tower-rounded structures by geodetic methods]. Tsentr. nauch.-issled. proyekt.-eksperim. in-t organizatsii, mekhanizatsii i tekhn. pomoshchi stroitel’stvu Gosstroya SSSR, M.: Stroyizdat, 1981, 56 p. |

4. Shekhovtsov G.A. (1985) Estimation of accuracy of cuts by means of a circle of standards. Geodesy and cartography, 541(8), pp. 45-47. |

5. Shekhovtsov G.A. (1987) On semantic saturation of the circle of standards. Geodesy and cartography, 559(2), pp. 18-20. |

6. Shekhovtsov G. A. Radial’naya oshibka s uchotom korrelyatsii [Radial error with correlation]. Izv. vuzov. Geodeziya i aerofotos’yomka, 1988, no. 5, pp. 45-49. |

7. Shekhovtsov G. A. Otsenka tochnosti polozheniya geodezicheskikh punktov: Monografiya [Estimation of the accuracy of the position of geodetic points: Мonograph]. M.: Nedra, 1992, 255 p. |

(2017) The use of azimuthal cut to determine the heeling of tower-rounded structures. Geodesy and cartography = Geodezia i Kartografia, 927(9), pp. 8-13. (In Russian). DOI: 10.22389/0016-7126-2017-927-9-8-13 |