Smoothing and Differentiation of Tracking Data Taken Across Separation Impulse.
NAVAL WEAPONS LAB DAHLGREN VA
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Data observed before and after separation, a sudden change in the force system, are used to estimate motion before, during and after separation. Polynomial methods are used and since a single polynomial of low degree cannot reflect the physical phenomena of motion through separation three polynomials are used and chosen in such a way as to make position, velocity and acceleration continuous. This is done by assuming a constant acceleration before separation, an acceleration which is quadratic in time during separation, and another value of constant acceleration after separation. Author
- Statistics and Probability