8.1-5 Basic Aspects of Space Vehicle Trajectories

8.1-5 Basic Aspects of Space Vehicle Trajectories - As a...

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“As a Mississippi State University student I will conduct myself with honor and integrity at all times. I will not lie, cheat, or steal, nor will I accept the actions of those who do.” Name:_Michael Barton___________________________________ Date:___8/25/08____ Review of Chapter 8, Space Flight (Astronautics) Sections 8.1 to 8.5 8.1 What are fundamental questions to be answered by the study of this chapter? How can we calculate the orbits and trajectories of space vehicles in the vacuum? How does reentry work, and how can we measure and calculate entry trajectories and aerodynamic heating? 1. What velocity is required for a satellite to be placed into orbit above our atmosphere? Why? 26,000 ft/s (7.9 km/s) At that velocity, the satellite overcomes the gravitational forces we feel on the surface just enough to get outside the realm of the atmosphere. 2. Lunar or interplanetary vehicles require a higher velocity. How fast, and why? 36,000 ft/s (11 km/s) Interplanetary vehicles need the higher velocity to fully escape the gravitational field produced by the earth 3. Space Shuttles differ from all other orbital or extraplanetary vehicles in that they have what capability the others did not? Would that capability be a liability or a handicap on an extraterrestrial mission? Why? The Shuttle utilizes a lifting reentry that allows a pilot to land it like an airplane. This capability would be a liability on an extraterrestrial mission because the landing maneuver requires airflow, which is not necessarily present on another planet. 4. What are the three primary sequential phases of a space mission? ___ Ascent ____ phase which will be the focus of another chapter. ___ Mission ___ phase which is extensively the study of orbital mechanics in the first half of this chapter. ___ Entry _____ phase which will be studied in the latter portions of this chapter. 8.2 Differential Equations. What is differential expression? A differential expression is one which contains derivatives in some of its terms What is the physical interpretation of dr/dt? The rate of change of r with respect to t I hear…. .and I forget I see…. .and I remember I do…. .and I understand Chinese Saying
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“As a Mississippi State University student I will conduct myself with honor and integrity at all times. I will not lie, cheat, or steal, nor will I accept the actions of those who do.” Write down equation 8.1 + - = d2rdt2 rdrdt 2t3 2 How does the differential equation differ from an algebraic equation such as r + t 2 / r = 0 It contains derivatives in addition to the variables t and r Assume a time varying function of r = f(t) = t 2 What are the first and second derivatives of this function? = = ’( )= r drdt f t
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8.1-5 Basic Aspects of Space Vehicle Trajectories - As a...

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