By Dr. rer. nat. Oliver Montenbruck, Dipl.-Ing. Thomas Pfleger (auth.)
Astronomy at the laptop offers the reader with an intensive creation to the computation of celestial mechanics, that is of specific importance to astronomical remark. protecting every thing from astronomical and computational thought to the development of fast and actual purposes courses, this e-book provides the mandatory wisdom and software program recommendations for deciding upon and predicting the positions of the solar, Moon, planets, minor planets and comets, sun eclipses, stellar occultations through the Moon, stages of the Moon and masses extra. This thoroughly revised version uses the generally carried out programming language C++, and person purposes might be successfully discovered by using a strong module library. the cloth formerly to be had on an accompanying CD-ROM, now at extras.springer.com, comprises, as well as the whole, absolutely documented and commented resource codes, the executable courses to be used with the home windows 98/2000/XP and LINUX working systems.
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017998T 3 ϑ = (2004 . 3109 − 0 . 85330T0 − 0 . 000217T02 )T +(−0 . 42665 − 0 . 000217T0)T 2 − 0 . 041833T 3 z = ζ + (0 . 79280 + 0 . 000411T0)T 2 + 0 . 000205T 3 . 16) p13 = − cos z sin ϑ p23 = − sin z sin ϑ p33 = + cos ϑ . The most onerous part of calculating precession is determining the values for the various angles and for pij . However, the transformation matrices depend only on the two epochs T0 and T0 + T , and may be reused if a whole series of different positions are to be converted from one ﬁxed epoch to another.
End); cout << endl; } The following example should illustrate the use and possibilities offered by Coco. The coordinates to be converted may be entered in either the equatorial or the ecliptic form. One can also choose between Cartesian coordinates or polar coordinates. This choice is offered by Coco at the beginning. All entries are indicated in italic. 0. The distance is arbitrarily chosen as 1 AU. It must always be positive. h) ... ... ... =Help) ... 00000000 32 2. =Help) ... Subsequently, the program expects the input of a command for converting the coordinates.
3 Ecliptic and Equatorial Coordinates Ecliptic and equatorial coordinates differ in the reference plane from which they are measured. , parallel to the plane of the Earth’s equator (Fig. 2). The x-x -axis is common to both systems, and is deﬁned as being the direction of the vernal equinox or First Point of Aries, designated by (ϒ). This direction is perpendicular to the north pole of the ecliptic (the z-axis) and to the North Celestial Pole (the z -axis). The angle ε between the ecliptic and the equator amounts to approximately 23 ◦.