ORBITAL MECHANICSMECHANICSORBITAL
K.N.Toosi University of Technology
20112019
Lecturer: M.Mirshams
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K.N.Toosi University of Technology
Orbital mechanics is a branch of astrodynamics dealing with the motion of a spacecraft's center of gravity under the influence of gravitational forces, atmospheric drag and other perturbations. After introductory materials, first the characteristics of the general two-body problem leading to conical sections will be derived. Then emphasis will be shifted to orbital transfers, interplanetary mission analysis. Finally the restricted three body problem and low energy transfer trajectories will be introduced.
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K.N.Toosi University 1- Equations of Motion of Technology • Newton's law of Universal Gravitation Attraction • The N-Body Problem • Derivation of the Two-Body Equations of Motion • Energy and Angular Momentum Integrals of Motion • Characteristics of the Conic Sections • Orbital Position as a function of time • Sphere of influence 2- Orbital Maneuvers • Coplanar transfers • Hohman and Bi-elliptic Hohman Transfers and Rendezvous • Phasing maneuvers • Plane changing maneuvers • Interplanetary transfers and hyperbolic passages
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K.N.Toosi University 3- Coordinate Systems and Transformation of Technology • Heliocentric Equatorial Coordinate System • Earth Centered Inertial(ECI) • Earth Centered Earth Fixed(ECEF) • Other local and body fixed Coordinate Systems • Coordinate transformation and rotation matrices • Celestial Sphere • Three Dimensional orbits and orbital elements. 4- Introduction to Perturbation or Restricted three body problem (optional) • Earth Gravity Field and Oblateness Effects • Restricted three body problem
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K.N.Toosi University of Technology Grading Scheme: Exams: [Final (12) + Midterm or Quizzes (4)] 16 Points. Homework, projects & class activity: 4 Points Text Books and References: • Orbital Mechanics for Engineering Students, Howard D. Curtis, Elsevier Publications, 2005. • Fundamentals of Astrodynamics, Roger R. Bate, Dover Publications, 1971. • Spaceflight Dynamics, Wiesel, McGraw-Hill Book Company,1989
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