Biot's variational principle for a Stefan problem.

Abstract

L~~-——I 10 20 30 TIME, sec 40 Using basic statistical techniques, the cumulative probability distribution function F(p;t) of the roll rate p at time t is obtained. This function gives, at each time t, the probability that the roll rate is less than or equal to any value p. Closed- form solutions for F(p; t) are obtained for three and four-finned, single-stage vehicles. The detailed derivations of F(p; t) are given in Ref. 1. The results for a four-finned, single-stage vehicle are given below. We have = P = :12 + :