Havacılık ve Uzay Mühendisliği

AE 441 | Ders Tanıtım Bilgileri

Dersin Adı

Applications of Special Relativity to Space Engineering

Kodu	Yarıyıl	Teori (saat/hafta)	Uygulama/Lab (saat/hafta)	Yerel Kredi	AKTS
AE 441	SPRING	2	2	3	5

Ön-Koşul(lar)	None
Dersin Dili	English
Dersin Türü	ELECTIVE_COURSE
Dersin Düzeyi	Lisans
Dersin Veriliş Şekli	Face-to-face
Dersin Öğretim Yöntem ve Teknikleri	Discussion Problem Solving Lecturing / Presentation
Ulusal Meslek Sınıflandırma Kodu	-
Dersin Koordinatörü	Dr. Öğr. Üyesi Fabrizio Pinto
Öğretim Eleman(lar)ı	Dr. Öğr. Üyesi Fabrizio Pinto
Yardımcı(ları)	-

Dersin Amacı

The objective of this course is to introduce students to the physical and mathematical structure of the theory of special relativity, which is considered as one of the most fundamental and central theories in physics.

Öğrenme Çıktıları

Bu dersi başarıyla tamamlayabilen öğrenciler;

Ad	Açıklama	PC Alt	* Katkı Düzeyi
Ad	Açıklama	PC Alt	1	2	3	4	5
LO1	Will be able to describe the fundamental principles of Einstein's theory of special relativity.	3.2				X
LO2	Solve relativistic physics problems using the laws of relativistic kinematics.	3.2				X
LO3	Analyze relativistic physics problems using the four-vector representation.	3.2				X
LO4	Set up the laws of relativistic dynamics.	3.2				X
LO5	Discuss the Maxwell’s equations and their solutions within the framework of relativistic physics.	3.2				X

Ders Tanımı

The discussions in this course will involve the topics of Michelson-Morley experiment, Einstein’s fundamental axioms, speed of light, Lorentz transformations, absolute time, time dilation, length contraction, relativistic optics, drag and Doppler effects, four-vector notation, four-velocity, four acceleration, four-momentum and mass-energy equivalence, de Broglie waves and photons, relativistic dynamics, Maxwell’s equations in four-vector notation, and field transformations.

Dersin İlişkili Olduğu Sürdürülebilir Kalkınma Amaçları

Dersin Kategorisi	Temel Ders	X
	Uzmanlık/Alan Dersleri
	Destek Dersleri
	İletişim ve Yönetim Becerileri Dersleri
	Aktarılabilir Beceri Dersleri

HAFTALIK KONULAR VE İLGİLİ ÖN HAZIRLIK ÇALIŞMALARI

Hafta	Konular	Ön Hazırlık	Öğrenme Çıktısı
1	Fundamentals of Special Relativity. The Michelson-Morley experiment	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 1-3	LO1
2	Inertial frames and Einstein’s two axioms	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 1-3	LO1
3	Speed of light and Lorentz transformations	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 1-3	LO3
4	Absolute time, time dilation, length contraction	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 1-3	LO2
5	Relativistic optics, drag and Doppler effects	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 7	LO5
6	Project 1		-
7	Spacetime and Four-Vectors	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 2-4	LO3
8	Four-Vectors: Four-Velocity and Four-Acceleration	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 2-4	LO4
9	Four-Momentum and Mass-Energy Equivalence	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 2-4	LO5
10	Maxwell’s Equations in Four-Vector Notation; Transformations of Electric and Magnetic Fields	L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975). ISBN: 978-0750627689 Ch. 3-4	LO5
11	Project 2		-
12	Nuclear energy in space engineering	M. J. L. Turner, Rocket and spacecraft propulsion (Springer-Praxis, Berlin, 2009). ISBN: 978-3-540-69202-7. Ch. 7	LO2
13	Solar and light sails; interstellar travel	Colin R. McInnes, Solar Sailing (Springer-Verlag, Berlin, 1999). ISBN: 978-1-85233-102-3. Ch. 2-4	LO4
14	Autonomous navigation at relativistic speeds, Project 3	C. A. L. Bailer-Jones, Lost in space? Relativistic interstellar navigation using an astrometric star catalogue, Publ. Astron. Soc. Pac., 133, 074502 (2021). DOI 10.1088/1538-3873/ac0774 Ch. 1-3	LO4
15	Semester Review		-
16	Final Exam		-

Ders Kitabı	L. D. Landau E. M. Lifshitz The Classical Theory of Fields (Pergamon Press Oxford 1975). ISBN: 978-0750627689
Önerilen Okumalar/Materyaller	C. A. L. Bailer-Jones Lost in space? Relativistic interstellar navigation using an astrometric star catalogue Publ. Astron. Soc. Pac. 133 074502 (2021). DOI 10.1088/1538-3873/ac0774 Colin R. McInnes Solar Sailing (Springer-Verlag Berlin 1999). ISBN: 978-1-85233-102-3. M. J. L. Turner Rocket and spacecraft propulsion (Springer-Praxis Berlin 2009). ISBN: 978-3-540-69202-7.

DEĞERLENDİRME ÖLÇÜTLERİ

Yarıyıl Aktiviteleri	Sayı	Katkı Payı %	LO1	LO2	LO3	LO4	LO5
Proje	3	60	X		X	X	X
Final Sınavı	1	40	X	X	X	X	X
Toplam	4	100

AKTS / İŞ YÜKÜ TABLOSU

Yarıyıl Aktiviteleri	Sayı	Süre (Saat)	İş Yükü
Katılım	-	-	-
Teorik Ders Saati	16	2	32
Laboratuvar / Uygulama Ders Saati	16	2	32
Sınıf Dışı Ders Çalışması	14	3	42
Arazi Çalışması	-	-	-
Küçük Sınav / Stüdyo Kritiği	-	-	-
Portfolyo	-	-	-
Ödev	-	-	-
Sunum / Jüri Önünde Sunum	-	-	-
Proje	3	10	30
Seminer/Çalıştay	-	-	-
Sözlü Sınav	-	-	-
Ara Sınavlar	-	-	-
Final Sınavı	1	14	14
		Toplam	150

DERSİN ÖĞRENME ÇIKTILARININ PROGRAM YETERLİLİKLERİ İLE İLİŞKİSİ

#	PC Alt	Program Yeterlilikleri / Çıktıları	* Katkı Düzeyi
#	PC Alt	Program Yeterlilikleri / Çıktıları	1	2	3	4	5
1	Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computation, and related engineering discipline-specific topics; the ability to apply this knowledge to solve complex engineering problems.
	1	Mathematics
	2	Science
	3	Basic Engineering
	4	Computation
	5	Related engineering discipline-specific topics
	6	The ability to apply this knowledge to solve complex engineering problems
2	Problem Analysis: Ability to identify, formulate and analyze complex engineering problems using basic knowledge of science, mathematics and engineering, and considering the UN Sustainable Development Goals relevant to the problem being addressed.
3	Engineering Design: The ability to devise creative solutions to complex engineering problems; the ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions.
	1	Ability to design creative solutions to complex engineering problems
	2	Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions				LO1 LO2 LO3 LO4 LO5
4	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while recognizing their limitations.
5	Research and Investigation: Ability to use research methods to investigate complex engineering problems, including literature research, designing and conducting experiments, collecting data, and analyzing and interpreting results.
	1	Literature research for the study of complex engineering problems
	2	Designing experiments
	3	Ability to use research methods, including conducting experiments, collecting data. analyzing and interpreting results
6	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals; awareness of the legal implications of engineering solutions.
	1	Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals
	2	Awareness of the legal implications of engineering solutions
7	Ethical Behavior: Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility; awareness of being impartial, without discrimination, and being inclusive of diversity.
	1	Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility ethical responsibility
	2	Awareness of being impartial and inclusive of diversity, without discriminating on any subject
8	Individual and Teamwork: Ability to work effectively, individually and as a team member or leader on interdisciplinary and multidisciplinary teams (face-to-face, remote or hybrid).
	1	Ability to work individually and within the discipline
	2	Ability to work effectively as a team member or leader in multidisciplinary teams (face-to-face, remote or hybrid)
9	Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession) on technical issues.
	1	Ability to communicate verbally
	2	Ability to communicate effectively in writing
10	Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation.
	1	Knowledge of business practices such as project management and economic feasibility analysis
	2	Awareness of entrepreneurship and innovation
11	Lifelong Learning: Lifelong learning skills that include being able to learn independently and continuously, adapting to new and developing technologies, and thinking questioningly about technological changes.