The LAD regression algorithm used for developing the LAD-based severity score formula was implemented by the authors and a public version of it is currently being prepared.
The W K formulas are implemented in SEATS using an algorithm of Tunnicliffe Wilson, presented in Burman (1980), which yields finite-sample MMSE estimates.
High-order moment-conserving formulas are implemented to maintain the adaptive character of the method while they remain local to minimize the computational cost.
Furthermore, Jossi Stief Thodos empirical formulae was implemented to compute the value of viscosity under the reservoir conditions, while Yoon Thodos–Herning empirical correlation was utilized for lower pressures (Graboski and Daubert 1978).
The formulas are implemented following an extensive estimation of parameter values compiled from debris generation models, engineering analyses of mitigation/adaptation technologies, productivity losses from collision risk, and spacecraft fleet projections.
We reiterate here that the last lines of each of (2),(6) and (10) include the collection of terms, significantly cutting down on computing time when these formulae are implemented, especially in the case of (10).
The formula 3(a) is implemented within the system (for successive iterations) based on a conditional probability.
To obtain the time-series trajectories of the species concentrations in the model, the ODEs are integrated using a modified Rosenbrock formula of order 2 that is implemented in the MATLAB (The MathWorks, Natick, MA) platform (version 6.5, Release 13).
A simulation is implemented to verify these formulas.
Here this step is implemented semi-empirically and a set of shock noise prediction formulas are developed.
