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

Fatma Almaz

Article Details

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

Authors:

Fatma Almaz

Publisher:

Van Yuzuncu Yıl University

Main Topics:

Cebirsel ve Diferansiyel Geometri

Journal:

Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.30 Issue 2, pp.572-583

Document Type:

Article

Publication Date:

8/2025

Document Language:

English

Document ID (Org No.):

2001357516

pISSN:

1300-5413

Keywords:

Abstract:

 In this paper, some features on the tube surface generated by rectifying curves are expressed in Galilean 3-space, and Clairauts 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 Clairauts theorem.

 In this paper, some features on the tube surface generated by rectifying curves are expressed in Galilean 3-space, and Clairauts 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 Clairauts theorem.

 In this paper, some features on the tube surface generated by rectifying curves are expressed in Galilean 3-space, and Clairauts 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 Clairauts theorem.

 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.

Article Details

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

Authors:

Fatma Almaz

Publisher:

Van Yuzuncu Yıl University

Main Topics:

Cebirsel ve Diferansiyel Geometri

Journal:

Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.30 Issue 2, pp.572-583

Document Type:

Article

Publication Date:

8/2025

Document Language:

English

Document ID (Org No.):

2001357516

pISSN:

1300-5413

Clairaut’s theorem

Galilean space

Rectifying curves

Specific angular momentum

Specific kinetic energy

Tubular surfacesClairaut’s teoremi

Galilean uzayı

Rektifiye eğriler

Spesifik açısal momentum

Spesifik kinetik enerji

Tubular yüzeyler

Issues

Article Details

Authors: Fatma Almaz

Publisher: Van Yuzuncu Yıl University

Main Topics: Cebirsel ve Diferansiyel Geometri

Journal: Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.30 Issue 2, pp.572-583

Document Type: Article

Publication Date: 8/2025

Document Language: English

Document ID (Org No.): 2001357516

pISSN: 1300-5413

Issues

Authors:

Fatma Almaz

Publisher:

Van Yuzuncu Yıl University

Main Topics:

Cebirsel ve Diferansiyel Geometri

Journal:

Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.30 Issue 2, pp.572-583

Document Type:

Article

Publication Date:

8/2025

Document Language:

English

Document ID (Org No.):

2001357516

pISSN:

1300-5413