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Acceleration on a curve path

Task description What acceleration is experienced by object when it moves along some curve path with changing speed? Let’s suppose that the object moves along Bezier curve with known parameters and we...

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C# implementation of Bezier curvature calculation

In the previous post I wrote a couple of equations displaying how to calculate acceleration on a planar curve (equation #1) and curvature radius for Bezier curve (equation #2). In this post I’ll also...

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Calculating GPS satellite position (ephemerides) in Mathematica

In this post I’ll show implementation of algorithm for calculating position of GPS satellite on its orbit (see download link at the bottom). I followed equations described in ICD-GPS-200C (Interface...

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Distance between two points on the Earth

What is the distance between New York and Moscow? Let’s calculate it. To be specific let’s take the 1st point in Moscow on Red Square. Its coordinates (latutude and longitude respectively) are:...

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