ase330m_hw01

# ase330m_hw01 - ASE 330M Homework#1(Review of Vectors...

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ASE 330M Homework #1 (Review of Vectors & Dynamics) Due: Friday, September 14 th . Reading Assignment: Read Chapters 1-3 of Torby (available as PDF from blackboard) Problem #1: During the encounter with the asteroid Gaspra, the Galileo spacecraft’s posi tion and inertial velocity vectors, with respect to the origin of the solar system, were given by: where O stands for the origin and S for the spacecraft. These vectors are measured in a Sun centered inertial frame defined by unit vectors (i-j-k) The position and inertial velocity vector of the center of Gaspra at that time were, (a) Calculate the position of the spacecraft with respect to Gaspra, . (b) What is the magnitude of (c) Calculate the inertial velocity of the spacecraft with respect to Gaspra, (d) What is the magnitude of (e) Define unit vectors along , , and . Assign names to each of these unit vectors. Do these unit vectors form an orthogonal set? How do you know? Derive a relation between the inertial vectors (i-j-k) and your rotating set of unit vectors. (f)

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ase330m_hw01 - ASE 330M Homework#1(Review of Vectors...

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