The Holditch-Type Theorem for the Polar Moment of Inertia of the Orbit Curve in the Generalized Complex Plane

ERİŞİR T., GÜNGÖR M. A., Tosun M., TOSUN M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.26, sa.4, ss.1179-1193, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00006-016-0642-5
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1179-1193
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this study, we first calculate the polar moment of inertia of orbit curves under one-parameter planar motion in the generalized complex plane and then give the Holditch-type theorem for : When the fixed points and on the moving plane trace the same curve with the polar moment of inertia , the different point on this line segment traces another curve with the polar moment of inertia during the one-parameter planar motion in the fixed plane . Thus, we obtain that the difference between the polar moments of inertia of these curves depends on the only the -distances of this points and -rotation angle of the motion,. T-X - T-Z = delta(p)ab.