# Projects in 1980–1981

## Claremont University Consortium, Physical Plant: Accounting and Scheduling

- Advisor
- Borrelli, Robert

The purpose of this clinic was to develop software to automate payroll, billing and scheduling of work done by the Physical Plant of the Claremont Colleges.

## Claremont University Consortium/Claremont Graduate School: Facilities Management Model

- Advisor
- Lucke, James
- College
- CMC/CGU

The purpose of this project was to develop a mathematical model for the operation and management of the physical facilities at Claremont Graduate School.

## Department of Energy: Nuclear Safety Code Study

- Advisor
- Cooke, Ken
- College
- POM/CGU

A continuation and extension of the cooperative research program begun in 1979-80 between the Mathematics Clinic and Rockwell Energy Systems Group scientists aimed at evaluating and improving the efficiency of time-integrating algorithms used in following nuclear reactor overpower accidents. This project was also involved with the analysis of the stiff systems of differential equations arising during overpower transients and with the study of numerical instabilities often encountered.

## General Dynamics: Homing Guidance Parameter Optimization with Nonlinearities

- Advisor
- Huff, Barthel
- College
- CGU

The overall goal of this project was to advance General Dynamics' capability to design and analyze effective guidance systems. Building on work performed for the past two years, this year's team concentrated on further developments of the Kalman filtering scheme and the inclusion of important nonlinearities.

## Interstate Electronics: Automatic Word Recognition

- Advisor
- Maki, Daniel
- College
- CGU

This team continued work performed during the past two years aimed at studying Interstate's automatic word recognition system. A detailed investigation of the structure and empirical characteristics of feature sets required for speaker independence and speaker normalization was made.

## Lockheed: Computational Aerodynamics

- Advisor
- Henriksen, Melvin
- College
- CGU

This project concentrated its efforts on studying efficient numerical methods for the solution of large systems of linear or quasi-linear equations. Such systems arise in modeling aerodynamic flow and diffusion processes, and their solution accounts for the expenditure of much computer time at Lockheed.

## Megatek Corporation: Color Presentation Transparencies

- Advisors
- Busenberg, Stavros
- Yin, Yung Koh

This project was concerned with the design of an interactive application software program of color presentation transparencies using color raster graphics products. Such systems now exist but tend to be very expensive turn-key packages. Using Megatek's proprietary general purpose graphics package, TEMPLATE, the applications package developed was designed for convenience and good human factors, as well as to provide the basic ability to layout text strings for alphanumeric information and the ability to include pictorial information already defined in the form of TEMPLATE graphical data structures.

## Rand Corporation: Stability Analysis of a Passive Communication Satellite

- Advisor
- Busenberg, Stavros

This project was concerned with a stability analysis of a passive communication satellite concept known as PACSAT. This device consists of 1.5m sections of steel wire of diameter about 1mm which are hinged together with friction joints to form a one-dimensional diffraction grating of total length 1.5km. A typical orbital altitude is about one earth radius, and when irradiated from the earth, PACSAT acts essentially as a one-dimensional diffraction grating producing a high gain cone whose cone angle is frequency-dependent. The concern of this project was focused on the adequacy of gravity gradient forces to keep the orbiting PACSAT in a stable configuration of a nearly straight line directed toward the earth's center in spite of expected perturbing forces (e.g., solar heating, eclipsing, non-sphericity of the earth, etc.). Small deviations from this nominal configuration above narrow tolerances would severely diminish PACSAT's usefulness as a communications satellite.