## Understanding Mathematics for Aircraft Navigation*Explains the mathematics essential to flight, teaching basic principles and reasoning *Provides an understanding that allows pilots to utilize new technologies *Examines techniques of GPS (Global Positioning System), and other navigation forms, including calculations of distance and bearings *Covers chart construction, magnetic compasses, mental calculations, long-range flight planning |

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### Contents

1 | |

2 Vectors and spheres | 75 |

3 Navigating by the stars | 109 |

GPS | 151 |

5 Navigation in airplanes | 167 |

6 Navigation planning | 223 |

7 A guide to further reading | 239 |

The navigational stars | 249 |

References | 253 |

Index | 257 |

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### Common terms and phrases

aircraft airplane airport Almanac altitude angle approximately axis azimuth bearing Bowditch calculation called celestial navigation Chapter chronometer circle compass coordinates course cross product crosswind curve cylindrical projection datum determine direction dot product Earth Earth’s surface electronic engine equation Eratosthenes error estimate example Figure ﬁrst ﬂight ﬂy fuel Goose Bay great-circle route Greenwich groundspeed heading instrument intersection knots latitude and longitude law of cosines law of sines length line of position longitude magnetic mathematics measure Mercator chart meridian method minutes move nautical miles normal observations perpendicular pilot plot polar problem prudent navigator pseudorange radian radius satellite sextant signal sine speed sphere spherical spheroid star station Sun’s Syene tangent plane techniques there’s tion triangle trigonometry true airspeed tude unit vector waypoints wind triangle winds aloft zenith distance zero