Applied Mathematical Analysis

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Charles Rose, President and Principal Analyst of „ISAaC”, has over forty-five years of experience in the field of Applied Mathematical Analysis. He has specialized in the areas of Optimization Theory: i.e.,

• Least Squares Estimators (linear and non-linear)
• Kalman Filters (linear and non-linear)
• Unconstrained Non-Linear Function Minimization

He also has worked extensively in the areas of

• Simulation
• Spectral Analysis
• Orbital Mechanics

He has applied these techniques to a wide variety of problems, some of which are

• Orbit Propagators for Satellites
• Spacecraft Attitude Estimation (real-time and off-line)
• Spacecraft Orbit Determination
• Parameter Estimation
• Optical Performance-Parameter Determination
• Multi-Dimensional Calibration Function Creation
• Generalized Atmospheric Refraction Models
• Determination of Sensor Offset Biases
• Optimal Specification of Spacecraft Maneuver Profiles
• Digital Control of Sounding Rockets
• Extended Fourier Transforms for Electron-Beam Holography Image Analysis
• Optical and Electronic Instrument Calibration
• Vehicle Arrival Time Estimator for the City of Denver bus system

In addition to developing the mathematical algorithms for these applications, he wrote the associated software, usually in C, which implemented the algorithms. He found that the structural capabilities of C++ were not necessary for such mathematical applications.