ANS is committed to advancing, fostering, and promoting the development and application of nuclear sciences and technologies to benefit society.
Explore the many uses for nuclear science and its impact on energy, the environment, healthcare, food, and more.
Explore membership for yourself or for your organization.
Conference Spotlight
2025 ANS Winter Conference & Expo
November 9–12, 2025
Washington, DC|Washington Hilton
Standards Program
The Standards Committee is responsible for the development and maintenance of voluntary consensus standards that address the design, analysis, and operation of components, systems, and facilities related to the application of nuclear science and technology. Find out What’s New, check out the Standards Store, or Get Involved today!
Latest Magazine Issues
Oct 2025
Jul 2025
Latest Journal Issues
Nuclear Science and Engineering
November 2025
Nuclear Technology
Fusion Science and Technology
October 2025
Latest News
Army’s Janus Program to boost advanced nuclear reactors
The U.S. Army is moving forward with additional advanced reactor programs—building on multiple military efforts already underway as well as a separate pilot program at the Energy Department.
Harold P. Smith, Jr.
Nuclear Science and Engineering | Volume 14 | Number 4 | December 1962 | Pages 371-379
Technical Paper | doi.org/10.13182/NSE62-A26244
Articles are hosted by Taylor and Francis Online.
A previous work on open loop dynamics of nuclear rocket engines (1) is expanded to include integral temperature error feedback control of reactivity and proportional pressure error feedback control of propellant flow with first order lags placed between the desired controller positions and the actual positions. The resulting series of ordinary, nonlinear, differential equations are approximated by a linear model in order to analyze the low-frequency dynamics. It is shown that the low and high frequencies may be decoupled and that the proposed method of control is stable for small variations away from any point of steady-state operation. Algebraic equations, in terms of design parameters, are derived for control settings which yield optimum response characteristics. It is further shown that the asymptotic response is improved by reduction of the mechanical inertia of the turbopump but is independent of the thermal inertia of the core. The analysis is corroborated by analog simulation of the nonlinear model for the case of low-power-high-power transition, using only feedback control for flow and reactivity variation.