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, ap- plication of perturbations – Orbit Maneuvers: Hohmann transfer, inclination change maneuvers, combined maneuver

Overview of aerodynamics – propulsion – atmosphere and aircraft instrumentation – Aircraft Perfor- mance: range, endurance, gliding, climbing flight, pull-up, pulldown, take-off, landing, accelerating climb, turning flight, V-n diagrams – optimal cruise trajectories – Static Stability & Control: frames of reference (body axis, wind axis) static longitudinal, directional, lateral stability and control, stick fixed and stick free stability, hinge moments, trim-tabs, aerodynamic balancing.

Introduction to tensors – Kinematics – Governing equations – Kelvin’s theorem – Potential flow – Uniqueness and Kutta condition – Foundations of panel methods – Airfoils – Thin Airfoil Theory: Forces and moments on airfoil, flaps – Finite Wings: Prandtl lifting line theory, Induced drag, El- liptic lift distribution – 3D panel methods – Viscous Incompressible Flows: Prandtl boundary layer equation, Similarity solutions, Flow separation and stall – Introduction to turbulence – Turbulent boundary layer – Viscous-inviscid coupling – High lift devices – Swept wing – Delta wing.