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'''Author - C. Maccone '''Co-Author(s)''' - '''JBIS Volume ''' - Contents of the Journal of the British Interplanetary Society for Volume 59 59 '''Page ''' - 283-289 '''Year''' - 2006 '''Keywords''' - SETI, astronomy, history, mathematical models, evolution '''JBIS Reference Code ''' - 2006.59.283 '''Number of Pages''' - 7 Abstract Assume that the history of Astronomy and SETI ...

... \hat \omega \ = \overset\sim \omega - \hat \beta and the estimation error of the angular velocity becomes \delta \omega \ = - (\delta\beta + \eta_\upsilon), where \delta\beta \ = \beta - \hat \beta is the bias estimation error. Since \delta \overset\cdot q is taken ...

... \times 10^ -4 \textbf I _3) , where diag (\cdot) denotes a diagonal matrix of appropriate dimension. This is proportional to the magnitude of the initial errors, being high enough so as ... the quaternion error covariance in \textbf P ^ 2STEP (t_0) was the maximum possible value without leading to numerical instability. The large initial angular error causes GEOB to reach an angular error of ...

... fact. His group was responsible fro the navigation computations and for the perfection of the math models used in simulating the Earth-Moon system. They were especially key in the definition ... , with the schedule pressure that you had, it was very important to catch an error, any fundamental error, very early, so that you didn’t waste a lot of effort going down ... vulnerable we really were, and how we could make mistakes. The spacecraft was filled with errors and design flaws. The tragedy was a red flag emphasizing the importance of proper procedures ...

... I don't know if I ever convinced him. "It was an error." No, it was not an error, because if we hadn't had the program in there to fix it ... time I tell people that the Apollo computer never made a mistake, never made an error, they always bring this up, "Yes, it did." '''Wright:''' George Mueller said so. Laughter '''Battin ... 've got to be in our department." I said, "Okay. I'll be in the math department." So I started teaching two sections of freshman calculus in 1946. And except for ...

... an interest in astronomy, so the astronomy classes at the university were taught in the math department. It also housed statistics and computer science, so it was broader than what you ... Moon, so what I was to do was to find out how large the positional errors of the spacecraft would be at each point after they’d used the engines for ... and actually wrote out the equations for the physics of calculating these errors. We applied a random number to the errors, because what we were after in the end was a three ...

... when I said, “What does an engineer do?” And I said, “Does it have any math in it?” “Yeah, we think so.” So anyway, I flunked Introduction to Engineering. But after ... . And on Apollo 11, we wound up five miles off target because of the navigation errors coming around the Moon, and we didn’t mathematically model the Moon all that well ... ones that called that—I don’t know if you recall. They had an error display, an error out of the guidance system during the landing. They had actually simulated that in ...

... e '''(IV.4b)''' Here, \delta q = q \otimes q_c^ -1 is the error quaternion, \textbf q _c is the commanded quaternion, \ \omega_c is the corresponding commanded angular velocity, \overline s = sat(s,\varepsilon), sat (.) is the saturation function, \textbf ...

... of backed into the aerospace business. My degree at Purdue University was in physics and math, and my interest was in particle physics, you know, atomic physics. I went to Purdue ... different symbols for different things. There was no standardization. So we found a lot of errors that people could make just interpreting the drawings. So we inserted a lot of things ... that to receive it at the new one, then you tell it's got an error. Your nose is pointing the wrong direction so it fires thrusters to move it, and ...

... ’s inertial platform drifting or not doing exactly the right thing, so that there were errors in the burn when the vehicle cut off and the trajectory still would not allow ... :''' Where are you teaching and what are you teaching? '''Hyle:''' I became a high school math teacher after I left NASA. I left NASA in early 1987 and started teaching in ... were encountering. However my experience was for the most part the girls were better at math than the boys that I had, and they’re better students as well. But, I ...

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