( These notes have been authored with collaboration with Suyog Soman (AFM MTech 2023 batch). )
Syllabus
Dynamics of Particles: reference frames and rotations – energy, angular momentum.
Two Body Motion: equations of motion – Kepler laws – solution to two-body problem – conics and relations – vis-viva equation – Kepler equation – orbital elements – orbit determination – Lambert problem – satellite tracking – different methods of solution to Lambert problem.
Non-Keplerian Motion: perturbing acceleration – earth aspherical potential – oblateness – third body effects – atmospheric drag effects – application of perturbations.
Orbit Maneuvers: Hohmann transfer – inclination change maneuvers, combined maneuvers, bielliptic maneuvers.
Lunar/ Interplanetary Trajectories: sphere of influence – methods of trajectory design – restricted three body problem – Lagrangian points.
References
Curtis, H. D. (2013). Orbital Mechanics for Engineering Students. Oxford: Butterworth-Heinemann.
Vallado, D. A. (2007). Fundamentals of Astrodynamics and Applications. New York: Springer.
Wiesel, W. E. (1997). Spaceflight Dynamics. New York: McGraw-Hill.
Bate, R. R., Mueller, D. D., & White, J. E. (1971). Fundamentals of Astrodynamics. New York: Dover Publications.
Prussing, J. E., & Conway, B. A. (1993). Orbital Mechanics. New York: Oxford University Press.
Battin, R. H. (1999). An Introduction to the Mathematics and Methods of Astrodynamics. Reston: American Institute of Aeronautics and Astronautics.
Chobotov, V. A. (2002). Orbital Mechanics. Reston: American Institute of Aeronautics and Astronautics.
Lecture Notes
Two Body Motion (in Earth Centered Inertial Frame)
Three Body Motion (in Earth Centered Inertial Frame)
Lagrangian Points
Lambert Problem
Orbit Determination
Satellite Tracking
Orbit Maneuvers
Hohmann Transfer
Lunar Trajectories
Interplanetary Trajectories
Solved Problems
- Reference Frames and Rotations