Havacılık ve Uzay Mühendisliği

AE 424 | Ders Tanıtım Bilgileri

Dersin Adı

Special Topics in Astrophysics and Orbital Mechanics

Kodu	Yarıyıl	Teori (saat/hafta)	Uygulama/Lab (saat/hafta)	Yerel Kredi	AKTS
AE 424	SPRING	3	0	3	5

Ön-Koşul(lar)	Yok
Dersin Dili	English
Dersin Türü	ELECTIVE_COURSE
Dersin Düzeyi	Lisans
Dersin Veriliş Şekli	Face-to-face
Dersin Öğretim Yöntem ve Teknikleri	-
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 aim of this course is to explore a range of subjects of timely importance to astrophysics and orbital mechanics by means of high performance computing (HPC) approaches, especifically leveraging competitive features available in modern Fortran, as well as employing a broad suite of free open source software (FOSS) tools to explore complex astrophysical systems and to simulate and visualize results useful in the digital design and analysis of next generation spacecraft trajectories and operations.

Öğrenme Çıktıları

Bu dersi başarıyla tamamlayabilen öğrenciler;

Ad	Açıklama	PC Alt	* Katkı Düzeyi
Ad	Açıklama	PC Alt	1	2	3	4	5
LO1	Describe the astrophysical systems and the orbital mechanics problems under study.				X
LO2	Define the relationship between measured and observed parameters and the final outcome of analysis and simulations.				X
LO3	Import into computing algorithms data available from observations or laboratory experiments published in the refereed literature and catalogs.				X
LO4	Employ HPC programming, particularly modern Fortran, to solve numerically intensive mathematical problems.					X
LO5	Employ FOSS tools to create advanced visualizations, simulations and enhanced multidimensional representations of the results.					X

Ders Tanımı

This course introduces the study of high performance computing for the analysis of complex astrophysical systems and realistic orbital mechanics problems dictated by next generation propulsion and navigation technologies. Simplifications typically introduced in introductory courses are removed and analysis is carried out on multiple length and time scales and involving the simultaneous interaction of various physical principles thus introducing the need for HPC with modern Fortran and representation of complex results with other FOSS tools.

Dersin İlişkili Olduğu Sürdürülebilir Kalkınma Amaçları

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

HAFTALIK KONULAR VE İLGİLİ ÖN HAZIRLIK ÇALIŞMALARI

Hafta	Konular	Ön Hazırlık	Öğrenme Çıktısı
1	Introduction to the gravitational N-body problem, analytical 2-body solution, Kepler equation, applications to spacecraft trajectory, solar system dynamics, binary stars, galaxies	R. Bate et al., Fundamentals of Astrodynamics (Dover Publ., New York, 1971). ISBN: 0486600610. J. Binney and S. Tremaine, Galactic Dynamics (Princeton Univ. Press, Princeton, 1987). ISBN: 0-691-08444-0. H. Goldstein, C. Poole, and J. Safko, Classical Mechanics (Addison-Wesley, San Francisco, 2002).	cdcb580a
2	Perturbed 2-body problem and solvable cases of the full 3-body problem. Numerical approaches: symplectic and adaptive algorithms.	R. Bate et al., Fundamentals of Astrodynamics (Dover Publ., New York, 1971). ISBN: 0486600610. P.J. Teuben, The Stellar Dynamics Toolbox NEMO, Astronomical Data Analysis Software and Systems IV, PASP Conf Series 77, 398, (1995).	52473b35
3	Introduction to Modern Fortran. FOSS tools review: CygWin, Jupyter, gnuplot, Sage, gfortran. LaTeX. Applications to the N-body problem (N>>1). History, strategies, and parallelization.	Janet A. Nicholson, Introduction to Programming using Fortran 95 (2011). (electronic document). W. H. Press et al., Numerical Recipes in Fortran, FORTRAN 77 and Fortran 90, (Cambridge University Press, Cambridge). ISBN: 0-521-43064-X.	b95109fd
4	Project 1: student presentations		dc4f1a0a
5	Analytical solutions of the polytropic models. Emden-Lane equation. King’s models and globular clusters. Gravitational and atomic charge potential models.	J. Binney and S. Tremaine, Galactic Dynamics (Princeton Univ. Press, Princeton, 1987). ISBN: 0-691-08444-0. S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover Publ., New York, 1967). Library of Congress Catalog: 58-162. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Butterworth-Heinemann, Oxford, 2002). ISBN: 0-08-029140-6.	b95109fd
6	Star formation and structure. Numerical solutions of equilibrium stellar structure. Equations of state. Relativistic astrophysics. White dwarfs, neutron stars.	E. Brown, Stellar Astrophysics (Open Astrophysics Bookshelf, 2021). (git version6f0150ea). S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover Publ., New York, 1967). Library of Congress Catalog: 58-162. S. Weinberg, Gravitation and Cosmology (John Wiley & Sons, Inc., New York, 1972). ISBN: 0471925675.	52473b35
7	Numerical solutions of dynamical stellar structure. Variable stars, structural instabilities, novae and supernovae.	S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover Publ., New York, 1967). Library of Congress Catalog: 58-162.	cdcb580a
8	Midterm		52473b35
9	Spacecraft trajectory optimization: low thrust missions.	J. Aziz et al., Low-Thrust Many-Revolution Trajectory Optimization via Differential Dynamic Programming and a Sundman Transformation, J. of Astronaut. Sci., 65, 205-228 (2018). O. Golan et al., Minimum Fuel Lunar Trajectories for a Low-Thrust Power-Limited Spacecraft, Dynamics and Control, 4, 383-394 (1994).	b95109fd
10	Autonomous spacecraft navigation and Kalman filters	M. Rhudy, A Kalman filtering tutorial for undegraduate students, International Journal of Computer Science & Engineering Technology (IJCSET), 8, 1-18 (2018). R. Faragher, Understanding the Basis of the Kalman Filter Via a Simple and Intuitive Derivation, IEEE Signal Processing Magazine, 29, 128-132 (2012).	8aeee991
11	Autonomous landing	Z. Bojun, High-Precision Adaptive Predictive Entry Guidance for Vertical Rocket Landing, Journal of Spacecraft and Rockets, 56, 1735-1741 (2019). L. Ocampo, Solving the optimization control problem for lunar soft landing using minimization technique, University of Texas, 2013.	8aeee991
12	Project 2: student presentations		8aeee991
13	General relativistic spacecraft trajectories, trajectories in the Schwarzschild and Kerr metrics, Post-Newtonian approximations.	S. Weinberg, Gravitation and Cosmology (John Wiley & Sons, Inc., New York, 1972). ISBN: 0471925675.	52473b35
14	Interstellar travel: relativistic navigation technologies, artificial intelligence, and simulations.	C. Bayler-Jones, Lost in space? Relativistic interstellar navigation using an astrometric star catalogue, ArXiv:2103.10389v1 (2021). I. Crawford, “Direct Exoplanet Investigation using Interstellar Space Probes,” The Handbook of Exoplanets (Springer International Publishing, 2018). ISBN: 978-3-319-55333-7.	52473b35
15	Review of the Semester		cdcb580a
16	Final Exam		52473b35

Ders Kitabı

J. Aziz et al. Low-Thrust Many-Revolution Trajectory Optimization via Differential Dynamic Programming and a Sundman Transformation J. of Astronaut. Sci. 65 205-228 (2018)
R. Bate et al. Fundamentals of Astrodynamics (Dover Publ. New York 1971). ISBN: 0486600610
C. Bayler-Jones Lost in space? Relativistic interstellar navigation using an astrometric star catalogue ArXiv:2103.10389v1 (2021)
J. Binney and S. Tremaine Galactic Dynamics (Princeton Univ. Press Princeton 1987). ISBN: 0-691-08444-0
E. Brown Stellar Astrophysics (Open Astrophysics Bookshelf 2021). (git version6f0150ea)
Z. Bojun High-Precision Adaptive Predictive Entry Guidance for Vertical Rocket Landing Journal of Spacecraft and Rockets 56 1735-1741 (2019)
S. Chandrasekhar An Introduction to the Study of Stellar Structure (Dover Publ. New York 1967). Library of Congress Catalog: 58-162 I. Crawford “Direct Exoplanet Investigation using Interstellar Space Probes ” The Handbook of Exoplanets (Springer International Publishing 2018). ISBN: 978-3-319-55333-7
R. Faragher Understanding the Basis of the Kalman Filter Via a Simple and Intuitive Derivation IEEE Signal Processing Magazine 29 128-132 (2012)
O. Golan et al. Minimum Fuel Lunar Trajectories for a Low-Thrust Power-Limited Spacecraft Dynamics and Control 4 383-394 (1994)
H. Goldstein C. Poole and J. Safko Classical Mechanics (Addison-Wesley San Francisco 2002)
L. D. Landau and E. M. Lifshitz Quantum Mechanics (Butterworth-Heinemann Oxford 2002). ISBN: 0-08-029140-6
Janet A. Nicholson Introduction to Programming using Fortran 95 (2011). (electronic document)
L. Ocampo Solving the optimization control problem for lunar soft landing using minimization technique University of Texas 2013
W. H. Press et al. Numerical Recipes in Fortran FORTRAN 77 and Fortran 90 (Cambridge University Press Cambridge). ISBN: 0-521-43064-X
P.J. Teuben The Stellar Dynamics Toolbox NEMO Astronomical Data Analysis Software and Systems IV PASP Conf Series 77 398 (1995)
M. Rhudy A Kalman filtering tutorial for undegraduate students International Journal of Computer Science & Engineering Technology (IJCSET) 8 1-18 (2018)
S. Weinberg Gravitation and Cosmology (John Wiley & Sons Inc. New York 1972). ISBN: 0471925675.

Önerilen Okumalar/Materyaller

DEĞERLENDİRME ÖLÇÜTLERİ

Yarıyıl Aktiviteleri	Sayı	Katkı Payı %	LO1	LO2	LO3	LO4	LO5
Proje	2	40			X	X	X
Ara Sınav	1	20	X	X	X
Final Sınavı	1	40	X	X		X	X
Toplam	4	100

AKTS / İŞ YÜKÜ TABLOSU

Yarıyıl Aktiviteleri	Sayı	Süre (Saat)	İş Yükü
Katılım	-	-	-
Teorik Ders Saati	16	3	48
Laboratuvar / Uygulama Ders Saati	-	-	-
Sınıf Dışı Ders Çalışması	14	3	42
Arazi Çalışması	-	-	-
Küçük Sınav / Stüdyo Kritiği	-	-	-
Portfolyo	-	-	-
Ödev	-	-	-
Sunum / Jüri Önünde Sunum	-	-	-
Proje	2	14	28
Seminer/Çalıştay	-	-	-
Sözlü Sınav	-	-	-
Ara Sınavlar	1	14	14
Final Sınavı	1	18	18
		Toplam	150