Spesifik Enerji ve Spesifik Açısal Momentum: G3 de Özel Tüp Yüzeyler

Yıl 2025, Cilt: 30 Sayı: 2, 572 - 583, 31.08.2025

Fatma Almaz

https://doi.org/10.53433/yyufbed.1627975

Öz

Bu çalışmada, rektifiye eğriler ile oluşturulan tüp yüzeyindeki bazı özellikler Galilean 3-uzayında ifade edilmiş ve Galilean uzayında Clairaut teoremi bu yüzey üzerinde genelleştirilmiştir. Ayrıca Clairaut teoremi yardımıyla elde edilen jeodezik rektifiye eğriler ile oluşturulan tüp yüzeyinde spesifik kinetik enerji ve spesifik açısal momentum ifade edilmiştir.

Anahtar Kelimeler

Clairaut’s teoremi , Galilean uzayı , Rektifiye eğriler , Spesifik açısal momentum , Spesifik kinetik enerji , Tubular yüzeyler

The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3

Öz

In this paper, some features on the tube surface generated by rectifying curves are expressed in Galilean 3-space, and Clairaut’s theorem is generalized on this surface in Galilean space. Furthermore, the specific kinetic energy and the specific angular momentum are expressed on tube surface formed by rectifying curves that are geodesics obtained with the help of Clairaut’s theorem.

Anahtar Kelimeler

Clairaut’s theorem , Galilean space , Rectifying curves , Specific angular momentum , Specific kinetic energy , Tubular surfaces

Kaynakça

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