Lorentziyan Düzlem Hareketinde İkinci Eğrilik Merkezi

Bu çalışmanın amacı Lorentziyan düzlem hareketinde bir noktanın takip ettiği yörüngenin için ikinci eğrilikmerkezini bulmak ve yorumlamaktır. Bunun için Lorentziyan düzlem kinematiğinin temel prensipleri ve [9]tarafından tanımlanan Lorentziyan ani invaryantlar göz önüne alınarak bu hareket boyunca keyfi bir noktanın takipettiği yörüngenin birinci ve ikinci eğrilik merkezleri bulundu. Ayrıca birinci ve ikinci eğrilik merkezleri ile ilgiliözel durumlar araştırıldı ve geometrik yorumlar yapıldı. Bu özel durumları karakterize eden teoremler ifade veispat edildi ve ilgili örnekler verildi.

Secondary Center of Curvature in a Lorentzian Planar Motion

The aim of this manuscript is to find and interpret the second center of curvature for the trajectory of a point in the Lorentzian planar motion. For this purpose, the first and second curvature centers of the trajectory of an arbitrary point along the motion have been found under the consideration of the basic principles of Lorentzian planar kinematics and Lorentzian instantaneous invariants defined by [9]. In addition, special cases related to the first and second curvature centers have been investigated and geometric interpretations have been given. The theorems characterizing these special cases have been expressed and proved.

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