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DOPPLER SPIRAL

Curve named by Alexander Heinz. |

Cartesian equation: |

The Doppler spiral is the trace on a fixed plane of a uniform spiral-like movement in a plane in uniform translation. The name "Doppler spiral" comes from the analogy with the Doppler effect concerning a wave whose emitter is moving.

If the moving plane is fixed (*k* = 0), the spiral is none other than an Archimedean spiral.

Case 0 < k < 1 |
Case k = 1 |
Case k > 2 |

The Doppler spirals are the planar projections of the conical Pappus spirals. |

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© Robert FERRÉOL
2017