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ESA Document - Emits - ESA

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s<br />

HMM<br />

Assessment Study<br />

Report: CDF-20(A)<br />

February 2004<br />

page 364 of 422<br />

Figure 4-101 shows the drag coefficient data. The drag coefficient was defined by linear<br />

interpolation from a table of drag coefficients as function of Mach number. To make the model<br />

simple, CL was supposed to 0 for any Mach number.<br />

Drag coefficient<br />

1.8<br />

1.75<br />

1.7<br />

1.65<br />

1.6<br />

1.55<br />

1.5<br />

1.45<br />

1.4<br />

1.35<br />

Drag coefficients vs Velocity<br />

Shape : Cone-angle 70d<br />

Assumption--> Speed_sound=175 m/s<br />

0.00 5.00 10.00 15.00 20.00<br />

Mach<br />

25.00 30.00 35.00 40.00<br />

Figure 4-101: Cd Data<br />

The reference area used for computing the aerodynamic force is 15.9 m^2, equivalent to a circle<br />

of 4.5 m of diameter.<br />

Heat Flux Coefficients<br />

The formula and coefficients used for the heat flux computation are the following:<br />

Heat flux = C x (density) N x (Velocity) M W/m 2<br />

Components Value Unit<br />

C 1.5588 e-4 W/m2 /((kg/m3) N /(m/s) M )<br />

N 0.5 ND<br />

M 3.04 ND<br />

Table 4-49: Reference data to calculate heat flux<br />

Atmosphere Model<br />

The atmosphere data used in this study is the Mars-GRAM 2001. Winds profiles were not taken<br />

into account. The density, temperature and sonic velocity profiles correspond to latitude of 15<br />

degrees. This is conservative, since the Mars-GRAM 2001 provides higher density profiles for<br />

higher latitudes.<br />

Planetary Model of Mars<br />

The Table 4-50 shows the planetary model of the Mars. The gravitational acceleration was<br />

derived from the gravitational potential expressed in spherical harmonics. The main term and the<br />

C2,0 (J2) terms were taken into account, as well as the rotation of Mars.

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