John Company

AAWSAP DIRD, Detection and High-Resolution Tracking of Vehicles at Hypersonic Velocities, November 2010

DOW-UAP-D148 · page 43 of 46

Page 43 of 46 of DOW-UAP-D148

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$$
\text{temperature}_{\text{fit}} \equiv \text{cspline}(\text{height}, \text{temperature})
$$

$$
\text{density}_{\text{fit}} \equiv \text{cspline}(\text{height}, \text{density})
$$

3. These functions provide atmospheric pressure, temperature, and density for the U.S. Standard Atmosphere from 0 to 100 km in height.

$p_{\text{atm}}(h) \equiv \text{interp}(\text{pressure}_{\text{fit}}, \text{height}, \text{pressure}, h)$ Pressure (Pa).

$T_{\text{atm}}(h) \equiv \text{interp}(\text{temperature}_{\text{fit}}, \text{height}, \text{temperature}, h)$ Temperature (K).

$\rho_{\text{atm}}(h) \equiv \text{interp}(\text{density}_{\text{fit}}, \text{height}, \text{density}, h)$ Density (kg/m$^3$).

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