Mathematics – Probability
Scientific paper
Sep 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jspro..31..922b&link_type=abstract
Journal of Spacecraft and Rockets (ISSN 0022-4650), vol. 31, no. 5, p. 922-924
Mathematics
Probability
Hypervelocity Impact, Integral Calculus, Meteorite Collisions, Meteoroid Concentration, Spacecraft Equipment, Spacecraft Shielding, Stationary Orbits, Technology Assessment, Coordinate Transformations, Integral Equations, Mathematical Models, Probability Density Functions
Scientific paper
Several assessment procedures for gravity-gradient-stabilized spacecraft have been published, the most significant among these is the procedure developed by Zook involving three steps. In this paper, an alternative to Zook's procedure is presented. Because the meteoroid environment can be described in terms of continuous probability density functions, it is possible to use a Jacobian to describe the coordinate transformation and the integral calculus to calculate the mean number of impacts. The results generated from the proposed approach are compared with Zook's calculation of the ratio of the fluxes on the force and art facing sides of a flat plane.
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