<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">gyroscopy</journal-id><journal-title-group><journal-title xml:lang="ru">Гироскопия и навигация</journal-title><trans-title-group xml:lang="en"><trans-title>Giroskopiya i Navigatsiya</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7035</issn><issn pub-type="epub">2075-0927</issn><publisher><publisher-name>AO «Концерн «ЦНИИ «Электроприбор»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17285/0869-7035.0003</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-257</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Расширение алгоритмов БИНС для решения задач полярной навигации</article-title><trans-title-group xml:lang="en"><trans-title>Extension of the Basic Strapdown INS Algorithms to Solve Polar Navigation Problems</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бабич</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Babich</surname><given-names>O. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бабич Олег Александрович. Доктор технических наук, профессор, главный научный сотрудник. Действительный член общественного объединения «Академия навигации и управления движением».</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский институт электромеханики и автоматики</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Institute of Electromechanics and Automatics, Russia</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>17</day><month>11</month><year>2025</year></pub-date><volume>27</volume><issue>3</issue><fpage>103</fpage><lpage>118</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Бабич О.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Бабич О.А.</copyright-holder><copyright-holder xml:lang="en">Babich O.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.gyroscopy.ru/jour/article/view/257">https://www.gyroscopy.ru/jour/article/view/257</self-uri><abstract><p>Прямоугольная геоцентрическая система координат (Earth-Centered, Earth-Fixed – ECEF) не имеет особых точек в околоземном пространстве, поэтому ее можно использовать в качестве основной для навигации в полярных зонах Земли. В статье предлагается алгоритм для вычисления прямоугольных координат в виде дополнительной части к базовому алгоритму бесплатформенной инерциальной навигационной системы (БИНС), который рутинно работает от взлета и до посадки. На основании вычисления текущих прямоугольных координат самолета в полярных областях строится закон управления, обеспечивающий навигацию самолета по принципу «из точки в точку».</p></abstract><trans-abstract xml:lang="en"><p>The Earth-centered, Earth-fixed (ECEF) frame does not have any specific points in the near-Earth space; therefore, it can be used as the basic one for navigation in the polar regions. The paper considers a new algorithm for calculation of ECEF coordinates. The proposed algorithm is complementary to the basic strapdown INS algorithm, which</p><p>functions in its normal mode from aircraft takeoff to landing. In the polar regions, the aircraft control law that supports flights on the point-topoint principle is based on calculation of ECEF coordinates.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Полярная навигация</kwd><kwd>бесплатформенная инерциальная навигационная система</kwd><kwd>акселерометр</kwd><kwd>гироскоп</kwd><kwd>стереографическая проекция.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Рolar navigation</kwd><kwd>strapdown inertial navigation system (SINS)</kwd><kwd>accelerometer</kwd><kwd>gyro</kwd><kwd>wander azimuth</kwd><kwd>stereographic projection.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Savage, P.G., Strapdown Analytics – Second Edition, Strapdown Associates, Inc., Maple Plane, Minnesota, 2007, pp. 5–19, 5–22.</mixed-citation><mixed-citation xml:lang="en">Savage, P.G., Strapdown Analytics – Second Edition, Strapdown Associates, Inc., Maple Plane, Minnesota, 2007, pp. 5–19, 5–22.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Savage, P.G., Computational Elements for Strapdown Systems, Low Cost Navigation Sensors and Integration Technology, NATO RTO-EN-SET-116, October 2008, pp. 3–3, 3–4.</mixed-citation><mixed-citation xml:lang="en">Savage, P.G., Computational Elements for Strapdown Systems, Low Cost Navigation Sensors and Integration Technology, NATO RTO-EN-SET-116, October 2008, pp. 3–3, 3–4.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Бабич О.А. Обработка информации в навигационных комплексах. М.: Машиностроение, 1991. С. 105, 264.</mixed-citation><mixed-citation xml:lang="en">Babich, O.A., Obrabotka informatsii v navigatsionnykh kompleksakh (Information Processing in Navigation Systems), Мoscow: Mashinostroenie, 1991.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Maclure, K.C., Polar Navigation, Arctic, 1949, 2(3), 183–194.</mixed-citation><mixed-citation xml:lang="en">Maclure, K.C., Polar navigation, Arctic, 1949, 2(3), pp. 183–194.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Yi-qing Yao, Xiao-su Xu, Yao Li, Yi-ting Liu, Jin Sun and Jin-wu Tong, Transverse Navigation under Ellipsoidal Earth Model and its Performance in both Polar and Nonpolar areas, The Journal of Navigation, 2016, vol. 69, issue 2, pp. 335–352. DOI:10.1017/S0373463315000715.</mixed-citation><mixed-citation xml:lang="en">Yi-qing Yao, Xiao-su Xu, Yao Li, Yi-ting Liu, Jin Sun, and Jin-wu Tong, Transverse navigation under ellipsoidal Earth model and its performance in both Polar and Nonpolar areas, The Journal of Navigation, 2016, vol. 69, issue 2, pp. 335–352. DOI:10.1017/S0373463315000715.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Introduction to Modern Navigation Systems, Published by Esmat Bekir, Word Scientific Publishing Co. Pte.Ltd. 5 Toh Tuck Link, Singapour 596224.</mixed-citation><mixed-citation xml:lang="en">Introduction to Modern Navigation Systems, Published by Esmat Bekir, Word Scientific Publishing Co. Pte.Ltd. 5 Toh Tuck Link, Singapour 596224.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">BoeingAero, Polar Route Operationes, http//www.boeing.com/commertial/aeromagazine/aero--16/polar.html.</mixed-citation><mixed-citation xml:lang="en">BoeingAero, Polar Route Operations, http//www.boeing.com/commertial/aeromagazine/aero--16/polar.html.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Юманов В.С. Алгоритм преобразования квазигеографических координат, предусматривающий возможность работы в различных эллипсоидах // XV конференция молодых ученых «Навигация и управление движением». СПб.: АО «Концерн «ЦНИИ «Электроприбор». СПб., 2013. С. 95–100.</mixed-citation><mixed-citation xml:lang="en">Yumanov, V.S., Algorithm for the transformation of quasigeographical coordinates providing for the possibility of working in various ellipsoids, XV konferentsiya molodykh uchenykh “Navigatsiya i upravlenie dvizheniem” (15th Conference of Young Scientists “Navigation and Motion Control), St. Petersburg: TsNII Elektropribor, 2013, pp. 95–100.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Современные методы и средства измерения параметров гравитационного поля Земли. Под общей ред. акад. РАН В.Г. Пешехонова; науч. редактор д.т.н. О.А. Степанов. СПб.: ГНЦ РФ АО «Концерн «ЦНИИ «Электроприбор», 2017. С. 201.</mixed-citation><mixed-citation xml:lang="en">Sovremennyye metody i sredstva izmereniya parametrov gravitatsionnogo polya Zemli (Modern technologies and methods for measuring the Earth’s Gravity Field Parameters), Peshekhonov, V.G., Gen. ed., Stepanov, O.A., Sci. ed., St.Petersburg: TsNII Elektropribor, 2017.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Qian Li, Yueyang Ben, Fei Yu, and Jiubin Tan, Transversal Strapdown INS Based on Reference Ellipsoid for Vehicle in the Polar Region, IEEE Transactions on Vehicular Technology, 2016, vol. 65, no. 9, pp. 7791–7795. DOI: 10.1109/TVT.2015.2497713.</mixed-citation><mixed-citation xml:lang="en">Qian Li, Yueyang Ben, Fei Yu, and Jiubin Tan, Transversal strapdown INS based on reference ellipsoid for vehicle in the Polar Region, IEEE Transactions on Vehicular Technology, 2016, vol. 65, no. 9, pp. 7791–7795. DOI: 10.1109/TVT.2015.2497713.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Fangjun Qin, Lubin Chang, and An Li, Improved Transversal Polar Navigation Mechanism for Strapdown INS using Ellipsoidal Earth Model, The Journal of Navigation, 2018, 71, 1460–1476. DOI: 10.1017/S0373463318000425.</mixed-citation><mixed-citation xml:lang="en">Fangjun Qin, Lubin Chang, and An Li, Improved transversal polar navigation mechanism for strapdown INS using ellipsoidal Earth model, The Journal of Navigation, 2018, 71, 1460–1476. DOI: 10.1017/S0373463318000425.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Ruonan Wu, Qiuping Wu, Fengtian Han, Rong Zhang, Peida Hu, and Haixia Li, Hybrid Transverse Polar Navigation for High-Precision and Long-Term INSs, Sensors, 2018, 18, 1538. DOI: 10.3390/s18051538.</mixed-citation><mixed-citation xml:lang="en">Ruonan Wu, Qiuping Wu, Fengtian Han, Rong Zhang, Peida Hu, and Haixia Li, Hybrid Transverse Polar Navigation for High-Precision and Long-Term INSs, Sensors, 2018, 18, 1538. DOI: 10.3390/s18051538.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
