Differential Equation of the Loxodrome on a Helicoidal Surface
JOURNAL OF NAVIGATION, cilt.68, sa.5, ss.962-970, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 68 Sayı: 5
- Basım Tarihi: 2015
- Doi Numarası: 10.1017/s0373463315000181
- Dergi Adı: JOURNAL OF NAVIGATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.962-970
- Anahtar Kelimeler: Loxodrome, Helicoidal Surface, Euclidean Space, MINKOWSKI 3-SPACE, SPACE
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In nature, science and engineering, we often come across helicoidal surfaces. A curve on a helicoidal surface in Euclidean 3-space is called a loxodrome if the curve intersects all meridians at a constant azimuth angle. Thus loxodromes are important in navigation. In this paper, we find the differential equation of the loxodrome on a helicoidal surface in Euclidean 3-space. Also we give some examples and draw the corresponding pictures via the Mathematica computer program to aid understanding of the mathematics of navigation.