In these web pages, I will show an example of celestial navigation, step-by step. I have chosen as my example the sample leg 57 from the sample problem series Silicon Sea
In this sample problem, we start with a boat whose last known position was 51°30.0'S, 80°59.5'W. We have the boat's heading and speed, and the current. After nearly a day of sailing, we take sextant sights on the moon and four stars. The goal of the exercise is to determine the boat's current position.
If you don't have the 1999 Almanac handy, you can visit Omar Reis's awesome web-based almanac or the U.S. Navy's online almanac.
For more resources, see http://www.celestialnavigation.net/
See the excellent page at celestialnavigation.net for more resources.
Bowditch -The American Practical Navigator is the textbook on navigation. It can be found online at irbs.com. Google also has scans of older editions of Bowditch on line: 1821, 1826, 1906
Other sources:
Nga.mil: 2002 edition, Wikisource: HTML formated version.
Government charts for air navigation can be found at nga.mil. These charts are in a different format from marine charts and are optimized for rapid computations.
Papers on celestial navigation algorithms. (Note: plagiarizes one of the diagrams from this web site.
The Vietnam Maritime Social Network has a large number of excellent articles on celestial navigation.
Java Script Programs for Navigators by Jacky Wong
Omar Reis's Online Nautical Almanac
Omar Reis's Navigator Light Computer Program
W. Fendt's Apparent Position of a Star Astronomy Java Page
W. Fendt's Coordinate Graphic (Celestial Poles) Java Page
Almanac and Sight reduction Information from the Navy
Pocket Stars — Integrated Star Chart, Ephemeris, and Celestial Navigation Software for the Pocket PC.
ASNAv — "designed by a seaman for seamen."
Sailing Alone Around the World, by Captain Joshua Slocum.