%PDF-1.4 % 1 0 obj << /Type /Pages /Count 1 /Kids [ 2 0 R ] >> endobj 2 0 obj << /Type /Page /Parent 1 0 R /Resources << /ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ] /Font << /QuickPDFFba494090 69 0 R /QuickPDFF49c0079b 107 0 R >> >> /Contents [ 5 0 R ] /MediaBox [ 0 0 595.2756 841.8898 ] /CropBox [ 0 0 595.2756 841.8898 ] >> endobj 3 0 obj << /Type /Catalog /Pages 1 0 R /Metadata 108 0 R >> endobj 4 0 obj << /Producer (Debenu Quick PDF Library 11.15 \(www.debenu.com\)) /Creator (Debenu Quick PDF Library 11.15 \(www.debenu.com\)) /CreationDate (D:20220919115958+02'00') /ModDate (D:20220919115958+02'00') >> endobj 5 0 obj << /Length 2207 /LC /iSQP >> stream 0 Tr /QuickPDFF49c0079b 14 Tf 0 0 0 rg 100 Tz 0 Tw 0 Tc 0 Ts BT 1 0 0 1 102.8138 770.8329 Tm (Mathematical Model and Results of a New Positioning Algorithm)Tj ET /QuickPDFF49c0079b 11 Tf 0 0 0 rg BT 1 0 0 1 229.8118 731.3912 Tm (Bartlomiej Oszczak \(Poland\))Tj ET /QuickPDFF49c0079b 11 Tf 0 0 0 rg BT 1 0 0 1 56.6929 689.3613 Tm 14.663 TL (Key words: )' ET /QuickPDFFba494090 11 Tf 0 0 0 rg BT 1 0 0 1 141.7323 689.3613 Tm 14.454 TL (Education; GNSS/GPS; Positioning; Keyword 1; Keyword 2; Keyword 3)' ET /QuickPDFF49c0079b 11 Tf 0 0 0 rg BT 1 0 0 1 56.6929 661.0148 Tm 14.663 TL (SUMMARY)' ET /QuickPDFFba494090 11 Tf 0 0 0 rg BT 1 0 0 1 56.6929 632.6683 Tm 14.454 TL (A new mathematical model is briefly described, and a new positioning algorithm is announced. Obtaining)' (the solution from the non-linear system of equations is not trivial as presented by numerous publications.)' (One of the most important problems still to be solved in the 21st century is the problem of non-linearity of)' (equations. Observations are linearized to solve the problem of positioning such as the distances or the)' (pseudoranges. Moreover, most positioning solutions are based on numerical computations. In this article the)' (basic principles of the methods for solving the positioning problem are presented, and the formulas and their)' (derivation are given. The numerical example with simulated data and proof confirm the correct performance)' (of the proposed algorithm. A new algorithm for determining of the point coordinates and a systematic error)' (in two-dimensional space in geodetic network solution is presented. In the proposed solution there is no need)' (to know the initial approximate location of the determined point, nor the coordinates of the transition points. )' ET /QuickPDFFba494090 10 Tf 0 0 0 rg BT 1 0 0 1 56.6929 150.7097 Tm 13.14 TL (__________________________________________________________________________________________)' ()' (Mathematical Model and Results of a New Positioning Algorithm \(11692\))' (Bartlomiej Oszczak \(Poland\))' ()' (FIG Congress 2022)' (Volunteering for the future - Geospatial excellence for a better living)' (Warsaw, Poland, 1115 September 2022)' ET endstream endobj 6 0 obj << /Length 316 /Filter /FlateDecode >> stream xMRKnCAۿSpk`y^Uu[jIɒT%C/:b}Rx\%=
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