## Astronomical Algorithms - second edition - Jean Meeus - Chapter 54

## Eclipses

## Solar eclipses

Designation | Result | Units |

Day number (Page 65) | day number | integer between 1 and total days in year |

Days in the given year (Page 62) | days in the given year | 365 (no leap year) or 366 (leap year) |

Day number / days in the given year | percentage | decimal value smaller than or equal to 1 |

k (49.2) | k | value of k with decimals |

Modified k (Page 379) | modified k | rounded k |

JDE (49.1) | JDE | JDE |

M (49.4) | M | degrees |

MA (49.5) | MA | degrees |

F (49.6) | F | degrees |

How close is F to 0, 180 or 360? | F rest | degrees |

omega (49.7) | omega | degrees |

F1 (Page 380) | F1 | degrees |

P (Page 381) | P | dimensionless |

Q (Page 381) | Q | dimensionless |

Gamma = least distance from the axis of the moon's shadow to the center of the earth (Page 381) | gamma | Earth's equatorial radius |

u = radius of the moon's umbral cone in the fundamental plane (the plane through the center of the earth and perpendicular to the axis of the moon's shadow)(Page 381) | u | Earth's equatorial radius |

Radius of the penumbral cone in the fundamental plane (Page 381) | radius penumbral cone | Earth's equatorial radius |

Is there a solar eclipse? (Page 380) | solar eclipse | text |

Location? (Page 380) | location | text |

Visibility | visibility | text |

Solar type (is gamma between -0.9972 and 0.9972?) | solar type | text |

Solar type (is abs(gamma) > 1.5433 + u?) | solar type | text |

Solar type (is abs(gamma) between 0.9972 and 1.5433+u?) | solar type | text |

Solar type (is abs(gamma) between 0.9972 and 1.0260?) | solar type | text |

Solar type (is abs(gamma) between 0.9972 and 0.9972 + abs(u)?) | solar type | text |

Central type (total, annular or annular-total) | central type | text |

Magnitude eclipse (in case of partial eclipse) (54.2) | magnitude eclipse | unitless |

Correction to be added to the JDE (54.1) | correction | JDE fraction |

DeltaT for the given year | deltaT | dayfraction |

Final JDE | final JDE | JDE |

Gregorian date/time for the maximum of the eclipse | final gregorian date/time | weekday/date/time (UT) |