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فیزیک زمین و فضا، جلد ۴۴، شماره ۴، صفحات ۱۹-۲۸
عنوان فارسی Transforming Geocentric Cartesian Coordinates to Geodetic Coordinates by a New Initial Value Calculation Paradigm
چکیده فارسی مقاله Transforming geocentric Cartesian coordinates (X, Y, Z) to geodetic curvilinear coordinates (φ, λ, h) on a biaxial ellipsoid is one of the problems used in satellite positioning, coordinates conversion between reference systems, astronomy and geodetic calculations. For this purpose, various methods including Closed-form, Vector method and Fixed-point method have been developed. In this paper, a new paradigm for calculation of initial values is presented. According to the new initial values, two state of the art iterative methods are modified to calculate the geodetic height and the geodetic latitude accurately and without iteration. The results show that for those points with height values between -10 to 1,000,000 km (30-fold more than the altitude of GPS satellites), the maximum error of the calculated height and geodetic latitude is less than 1.5×10-8 m and 1×10-14 rad (error lower than 0.001 mm in horizontal), respectively.
کلیدواژه‌های فارسی مقاله Geodetic coordinate transformation، Cartesian geocentric coordinate، Curvilinear geodetic coordinate،
عنوان انگلیسی Transforming Geocentric Cartesian Coordinates to Geodetic Coordinates by a New Initial Value Calculation Paradigm
چکیده انگلیسی مقاله Transforming geocentric Cartesian coordinates (X, Y, Z) to geodetic curvilinear coordinates (φ, λ, h) on a biaxial ellipsoid is one of the problems used in satellite positioning, coordinates conversion between reference systems, astronomy and geodetic calculations. For this purpose, various methods including Closed-form, Vector method and Fixed-point method have been developed. In this paper, a new paradigm for calculation of initial values is presented. According to the new initial values, two state of the art iterative methods are modified to calculate the geodetic height and the geodetic latitude accurately and without iteration. The results show that for those points with height values between -10 to 1,000,000 km (30-fold more than the altitude of GPS satellites), the maximum error of the calculated height and geodetic latitude is less than 1.5×10-8 m and 1×10-14 rad (error lower than 0.001 mm in horizontal), respectively.
کلیدواژه‌های انگلیسی مقاله Geodetic coordinate transformation, Cartesian geocentric coordinate, Curvilinear geodetic coordinate
نویسندگان مقاله Norollah Tatar |
Ph.D. Student, Department of Surveying and Geomatics Engineering, Faculty of Engineering, University of Tehran, Iran

Saeed Farzaneh |
Assistant Professor, Department of Surveying and Geomatics Engineering, Faculty of Engineering, University of Tehran, Iran

نشانی اینترنتی https://jesphys.ut.ac.ir/article_65883_777e6f29c32d6b5da94c599565a81494.pdf
فایل مقاله اشکال در دسترسی به فایل - ./files/site1/rds_journals/1035/article-1035-1174389.pdf
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