# lecture01 - Syllabus This course is ENAE 404 Space Flight...

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Syllabus This course is ENAE 404, Space Flight Dy- namics . It is an introduction to orbit and at- titude dynamics (astrodynamics) and a little attitude dynamics. Topics we will cover: Physics of orbiting satellites: Kepler’s and Newton’s laws, conservation laws, conic sec- tions. Coordinate systems and transformations; time Orbital elements, Kepler’s equation and two- body propagation Attitude dynamics Orbital maneuvering Perturbations Applications (through semester) More to say about the mechanics of the class later. L. Healy – ENAE404 – Spring 2007 – Lecture 1 (Jan. 25) 1

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Vector and planetary notation A boldface symbol or one with an arrow over it denotes a vector, e.g. x . The corresponding letter with no arrow over usually denotes the magnitude, e.g. x = | x | . Exception: n (mean motion) is not the magnitude of the node vector ˆ n . The letter with a hat denotes the unit vec- tor, i.e., one that points in the same direc- tion and has length one, e.g. ˆ x = x / | x | . Symbols for astronomical bodies: earth, sun, moon, mars. Sometimes notation varies, and I will point that out. Usually I will follow the book’s notation. L. Healy – ENAE404 – Spring 2007 – Lecture 1 (Jan. 25) 2
History of astrodynamics Celestial Mechanics or Dynamical Astron- omy : the study of the orbital motion of natural bodies. Astrodynamics or Space flight dynamics/mechanic the study of the orbital motion of artificial bodies (satellites). The physics and mathematics are almost ex- actly the same, except some things like n body motion (of more concern to celestial mechan- ics) and orbit transfers (of more concern to astrodynamics). The history of astrodynamics thus dates from the 1500s, as celestial me- chanics. In the spaceflight era, most spacecraft stay in earth orbit. For the most part, the transla- tion from, say, sun-orbiting planets to earth- orbiting artificial satellites is straightforward.

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