| Application | Key Mathematics Areas |
| Reentry simulations for the Space Shuttle | numerical integration tools to solve stiff systems of ordinary differential equations |
| Trajectory prescribed path control and optimal control problems | numerical integration tools to solve differential-algebraic equations |
| Determining launch schedules to establish and maintain prescribed satellite constellations | statistics and Monte Carlo methods |
| Motion of a space vehicle | systems of ordinary differential equations, initial value problems, boundary value problems; parameter optimization problems |
| Modeling gravitational forces | orthogonal polynomials (Lagrange polynomials) |
| Curve fitting of tabular data | least squares processes, splines |
Go to Profile and Forum for Kathryn Brenan
Return to Mathematical Applications Index