By W. D. Heintz (auth.), Dipl.-Kfm. Günter Dietmar Roth (eds.)
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Additional resources for Compendium of Practical Astronomy: Volume 1: Instrumentation and Reduction Techniques
4858273. x "5ho = 19h937179. Converting a into time units, the final result is a = 19h56~3, 8 = -17°25~8. 2 The Galactic Coordinate System. For investigations of stars and galactic structure it is convenient to use the galactic plane, or Milky Way, as the fundamental plane. 4]): Galactic latitude b runs from 0 0 to 90 0 , and is positive to the north and negative to the south of the galactic plane. Galactic longitude 1 is measured from 0 0 in the direction of the galactic center and runs eastward along the galactic plane to 3600 • 4 See Sect.
45) 34 F. 2. 42). 43). 45). 39), or Napier's equations, or Gauss-Delambre equations. 38a); c and C from Napier's equations. A,B,a b,c,C b from law of sines; c and C from Napier's equations. a 90'-b 90'-c Fig. 6. Scheme for formulae in right-angled spherical triangles. Procedures to calculate spherical triangles can be presented in a general scheme. Three of the six parameters must be known. Thus there are six different cases (see Fig. 2. 3 The Right-Angled Spherical Triangle If a is the hypotenuse of the spherical triangle in Fig.
3 Applied Mathematics and Error Theory F. 1 Introduction Practical astronomical work requires, to a large extent, the evaluation of mathematical formulae by numerical calculation. For this reason, astronomy was ranked as a subfield of mathematics until well into the nineteenth century. Today, more than ever, the treatment of many astronomical problems is impossible without the use of mathematical tools. Every observer should possess a certain minimum of mathematical expertise, and it is for this reason that the most important techniques of mathematics will be collected in this chapter.