MANE 6961
Advanced Spaceflight Mechanics
Instructor: Dr. Sandeep Singh
Graduate
Semesters: Fall '24 · Fall '25
Topics covered: Two-Body Problem (Conic Sections, Coordinate Systems, Fundamental Integrals, State Descriptions — Classical Orbital Elements, Modified Equinoctial Elements); Gravitational Field Models (Introduction, Spherical Harmonics, Multi-body Gravitational Acceleration, Sphere of Influence, Patched Conics, Planetary Flybys); Perturbation Methods (Introduction, Encke's Method, Variation of Parameters, State Transition Matrix, Sensitivity Matrix, Lagrange's Planetary Equations, Gauss' Variational Equations); Three-Body Problem (Circular Restricted Three Body Problem, Periodic Orbit Families, Poincaré Map, Monodromy Matrix, Manifold Subspaces, Computation of Invariant Manifolds).
MANE 4100
Spaceflight Mechanics
Instructor: Dr. Sandeep Singh
Senior / Graduate
Spring '23 (81) · Spring '24 (72) · Spring '25 (114) · Spring '26 (106)
Topics covered: Introduction to spatial (3D) dynamics; Particle kinetics; Orbital kinematics; Reference frames for Astrodynamics; Frame transformation; 2-Body Problem; Kepler's Laws and Kepler Equation; Circular Restricted 3 Body Problem, Lagrange Points, Stability; Satellite orbits (orbit determination — Lambert's Problem, Gibbs' Method, Orbital Maneuvers, Rendezvous Transfers); Rocket Thrust, Rocket Design, Staging; Attitude Parametrization; Introduction to Analytical Mechanics.
ENGR 2090
Engineering Dynamics
Instructor: Dr. Sandeep Singh
Junior / Senior
Fall '22 (26) · Fall '23 (28)
Topics covered: Kinematics of Particles and Rigid Bodies; Kinetics of Particles and Rigid-Bodies using Newton's Second Law; Work-energy for Particles and Rigid Bodies; Impulse-momentum for Particles and Rigid Bodies; Introduction to Three-Dimensional Kinetics of Rigid Bodies.
For Prospective Researchers
Students in MANE 4100 and MANE 6961 with strong performance and interest in research are encouraged to reach out about undergraduate research positions (URP) or graduate positions at ASCLab. Include your transcript and a brief description of your research interests.
Contact Prof. Singh →