On polar moments of inertia of Lorentzian circles

YÜCE S., KURUOĞLU N.

Journal of Applied Sciences, cilt.6, sa.2, ss.383-386, 2006 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.3923/jas.2006.383.386
  • Dergi Adı: Journal of Applied Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.383-386
  • Anahtar Kelimeler: Lorentzian circle, Lorentzian motion, Moment of inertia, Trigonometry in Lorentzian geometry
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this study, we first compute the polar moment of inertia of orbit curves under planar Lorentzian motions and then give the following theorems for the Lorentzian circles: When endpoints of a line segment AB with length a +b move on Lorentzian circle (its total rotation angle is δ) with the polar moment of inertia T, a point X which is collinear with the points A and B draws a Lorentzian circle with the polar moment of inertia Tx. The difference between T and Tx is independent of the Lorentzian circles, that is, Tx - T = δab. If the endpoints of AB move on different Lorentzian circles with the polar moments of inertia TA and TB, respectively, then Tx = [aTB + bTA]/(a + b) - δab is obtained. © 2006 Asian Network for Scientific Information.