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  • 1
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    Population estimation by the removal method assuming proportional trapping (1979)
    Oxford University Press
    Details
    Publication Date: 1979-01-01
    Print ISSN: 0006-3444
    Electronic ISSN: 1464-3510
    Topics: Biology , Mathematics , Medicine
    Published by Oxford University Press
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    PAPER CURRENT
  • 2
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    An APL program for the distribution of energy deposition by charged particles passing through thin absorbers (1985)
    In:  Other Sources
    Details
    Publication Date: 2011-08-19
    Description: An APL program which numerically evaluates the probability density function (PDF) for the energy deposited in a thin absorber by a charged particle is proposed, with application to the construction, pointing, and control of spacecraft. With this program, the PDF of the restricted energy loss distribution of Watts (1973) is derived, and Vavilov's (1957) distribution is obtained by proper parameter selection. The method is demonstrated with the example of the effect of charged particle induced radiation on the Hubble Space Telescope (HST) pointing accuracy. A Monte Carlo study simulates the photon noise caused by charged particles passing through the photomultiplier tube window, and the stochastic variation of energy loss is introduced into the simulation by generating random energy losses from a power law distribution. The program eliminates annoying loop procedures, and model parameter sensitivity can be studied using the graphical output.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: Journal of Statistical Computation and Simulation (ISSN 0094-9655); 22; 265-284
    Format: text
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    NASA TECHNICAL REPORTS
  • 3
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    Stochastic model for photon noise induced by charged particles in multiplier phototubes of the Hubble Space Telescope fine guidance sensors (1986)
    In:  Other Sources
    Details
    Publication Date: 2011-08-19
    Description: The Space Telescope (ST) is subjected to charged particle strikes in its space environment. ST's onboard fine guidance sensors utilize multiplier phototubes (PMT) for attitude determination. These tubes, when subjected to charged particle strikes, generate spurious photons in the form of Cerenkov radiation and fluorescence which give rise to unwanted disturbances in the pointing of the telescope. A stochastic model for the number of these spurious photons which strike the photocathodes of the multiplier phototube which in turn produce the unwanted photon noise are presented. The model is applicable to both galactic cosmic rays and charged particles trapped in the earth's radiation belts. The model which was programmed allows for easy adaption to a wide range of particles and different parameters for the phototube of the multiplier. The probability density functions for photons noise caused by protons, alpha particles, and carbon nuclei were using thousands of simulated strikes. These distributions are used as part of an overall ST dynamics simulation. The sensitivity of the density function to changes in the window parameters was also investigated.
    Keywords: NUCLEAR AND HIGH-ENERGY PHYSICS
    Type: Optical Engineering (ISSN 0091-3286); 25; 545-555
    Format: text
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    NASA TECHNICAL REPORTS
  • 4
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    Probability and Statistics in Aerospace Engineering (1998)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: This monograph was prepared to give the practicing engineer a clear understanding of probability and statistics with special consideration to problems frequently encountered in aerospace engineering. It is conceived to be both a desktop reference and a refresher for aerospace engineers in government and industry. It could also be used as a supplement to standard texts for in-house training courses on the subject.
    Keywords: Statistics and Probability
    Type: NASA/TP-1998-207194 , NAS 1.60:207194 , M-856
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 5
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    A stochastic model for particle impingements on orbiting spacecraft (1986)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: A general methodology for simulating particle impingements on orbiting spacecraft is developed. Major steps in the modeling process are presented as (1) modeling objective, (2) construction of the spacecraft geometrical model, (3) simulation of the particles in the space environment, (4) particle impact and subsequent events of interest, and (5) results of the simulation. A simulation of the expected meteoroid impingements on the Hubble Space Telescope and the resulting angular momentum transfers which can cause telescope pointing disturbances is given to illustrate these methods.
    Keywords: STATISTICS AND PROBABILITY
    Type: NASA-TP-2550 , NAS 1.60:2550
    Format: application/pdf
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  • 6
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    Graphical techniques to assist in pointing and control studies of orbiting spacecraft (1986)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Computer generated graphics are developed to assist in the modeling and assessment of pointing and control systems of orbiting spacecraft. Three-dimensional diagrams are constructed of the Earth and of geometrical models which resemble the spacecraft of interest. Orbital positioning of the spacecraft model relative to the Earth and the orbital ground track are then displayed. A star data base is also available which may be used for telescope pointing and star tracker field-of-views to visually assist in spacecraft pointing and control studies. A geometrical model of the Hubble Space Telescope (HST) is constructed and placed in Earth orbit to demonstrate the use of these programs. Simulated star patterns are then displayed corresponding to the primary mirror's FOV and the telescope's star trackers for various telescope orientations with respect to the celestial sphere.
    Keywords: ASTRONAUTICS (GENERAL)
    Type: NASA-TP-2575 , NAS 1.60:2575
    Format: application/pdf
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  • 7
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    An integral representation of the generalized Euler-Mascheroni constants (1985)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: The limit series for the Euler-Mascheroni constants is represented as an integral. Using this new representation, the first 200 values are computed along with assorted others up to 2000. The first 13 roots of gamma sub n, where n is a positive continuous variable, are also given.
    Keywords: MATHEMATICAL AND COMPUTER SCIENCES (GENERAL)
    Type: NASA-TP-2456 , NAS 1.60:2456
    Format: application/pdf
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  • 8
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    The generalized Euler-Mascheroni constants (1984)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Methods for evaluating the Euler-Mascheroni constants which appear in the Laurent expansion of the Reimann zeta function about Z = 1 are presented. The first 32 of these numbers are listed.
    Keywords: THEORETICAL MATHEMATICS
    Type: NASA-TP-2264 , NAS 1.60:2264
    Format: application/pdf
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  • 9
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    A stochastic model for photon noise induced by charged particles in multiplier phototubes of the space telescope fine guidance sensors (1984)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: The Space Telescope (ST) is subjected to charged particle strikes in its space environment. ST's onboard fine guidance sensors utilize multiplier phototubes (PMT) for attitude determination. These tubes, when subjected to charged particle strikes, generate spurious photons in the form of Cerenkov radiation and fluorescence which give rise to unwanted disturbances in the pointing of the telescope. A stochastic model for the number of these spurious photons which strike the photocathode of the multiplier phototube which in turn produce the unwanted photon noise are presented. The model is applicable to both galactic cosmic rays and charged particles trapped in the Earth's radiation belts. The model which was programmed allows for easy adaption to a wide range of particles and different parameters for the phototube of the multiplier. The probability density functions for photons noise caused by protons, alpha particles, and carbon nuclei were using thousands of simulated strikes. These distributions are used as part of an overall ST dynamics simulation. The sensitivity of the density function to changes in the window parameters was also investigated.
    Keywords: NUCLEAR AND HIGH-ENERGY PHYSICS
    Type: NASA-TP-2337 , NAS 1.60:2337
    Format: application/pdf
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  • 10
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    Manipulation of Numbers With Many Digits (1986)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: PRECISION designed for manipulation of numbers with accurate retention of up to thousands of digits per number. Use of PRECISION prevents underflow and overflow in programs that generate extreme numbers such as probability theory, statistics, and scientific applications.
    Keywords: MATHEMATICS AND INFORMATION SCIENCES
    Type: MFS-28048 , NASA Tech Briefs (ISSN 0145-319X); 9; 4; P. 177
    Format: text
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    NASA TECHNICAL REPORTS
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