Presentation on theme: "COMPUTATIONS ON THE SPHEROID. Learning Objectives Calculate and of a point given and s from a point with known and. Calculate and s between points."— Presentation transcript:
Learning Objectives Calculate and of a point given and s from a point with known and. Calculate and s between points with known and.
Lecture Outline n Direct Problem –Manual –Spreadsheets n Reverse Problem –Manual –Spreadsheets n Conclusion
Direct Problem n Know 1, 1, 1 2 and s 1 2 n Need to calculate 2 and 2 n Many formula available –Different accuracy and applications –Manual calculations –Spreadsheets
Tangent - Direct and known known s known and unknown
Process – Tangent Direct n Step 1 –Draw a diagram –Compute for known point –Compute approximate using –Compute m and known mm
Process – Tangent Direct n Step 2 –Compute m using m –Compute approximate and known m mm
Process – Tangent Direct n Step 3 –Compute approximate ½ using formula and known mm ½
Process – Tangent Direct n Step 4 –Compute approximate + ½ –Check diagram for correct sense –Compute m mm ½ mm + ½ 1-2 known
Process – Tangent Direct n Step 5 –Compute ½ –Compute m ½ mm
Process – Tangent Direct n Step 6 –Compute m and m using this new m –Compute ½ mm m mm ½½
Process – Tangent Direct n Step 7 –Compute ½ ½½ mm ½ ½ m mm
Process – Tangent Direct n Step 8 –Compare earlier results and decide on further iterations (from step 4) –Calculate final 1-2 + ½ –Calculate final 2-1 = 1-2 + ± 180° and known ½½ ½ Calculate and ½ + ½ 2-1
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