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s 4.4.1.2 Assumptions and trade-offs HMM Assessment Study Report: CDF-20(A) February 2004 page 332 of 422 Figure 4-67: Assumed Atmospheric Density and Temperature Model The following assumptions are made: • Total mass of MEV at entry, including aeroshell: 46 500 kg • Initial circular orbital altitude: 500 km • Aerodynamic reference area 490.87 m 2 • Lift coefficient: 0.348 • Drag coefficient: 1.142 • Lift over drag: 0.305 • Aerodynamic parameters are assumed as independent of Mach number • Angle of attack with respect to incident flow: fixed • Control parameter: bank angle around direction of incident flow • Atmospheric density model: Simplified approximation of a low density profile of MarsGRAM 2001, as shown above, not regarding positional, diurnal, seasonal and solaractivity-related variations • Atmospheric temperature: Approximation of a temperature profile from MarsGRAM 2001 • Parachute deployment conditions: velocity < Mach 2 at altitude > 10 km 4.4.1.3 Baseline design A wide corridor of possible entry angles was studied for the given configuration as described in the previous section. This corridor ranges from -2º to -15º with respect to the local horizon in a rotating Mars-fixed frame. For all steep entry angles, starting with -3º, the bank angle is assumed to remain fixed at a value of 30º. This will leave ample control margins to cope with uncertainties in the atmospheric or aerodynamic properties. For a very shallow entry, this control strategy is not appropriate. For the -2º case, a much larger initial bank angle is required to prevent a skip-out, for this, 110º is chosen. When the danger of skip-out is over, the body rolls to a bank angle of 0. Even shallower entry angles would require an initial bank angle of up to 180º. The upper limit to the entry corridor is at around -1.9º, where even with a full-downward lift, skip-out cannot be prevented.

s HMM Assessment Study Report: CDF-20(A) February 2004 page 333 of 422 Figure 4-68 shows the altitude profile for seven regarded entry angles in the specified range from 2º-15º below the local horizon. The following sets of diagrams show the comparative evolution of Mach number, dynamic pressure and g-load. Figure 4-68: Altitude over Time for Seven Regarded Cases Figure 4-69: Mach Number over Time (L) and Altitude (R) for Regarded Cases

s<br />

4.4.1.2 Assumptions and trade-offs<br />

HMM<br />

Assessment Study<br />

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

February 2004<br />

page 332 of 422<br />

Figure 4-67: Assumed Atmospheric Density and Temperature Model<br />

The following assumptions are made:<br />

• Total mass of MEV at entry, including aeroshell: 46 500 kg<br />

• Initial circular orbital altitude: 500 km<br />

• Aerodynamic reference area 490.87 m 2<br />

• Lift coefficient: 0.348<br />

• Drag coefficient: 1.142<br />

• Lift over drag: 0.305<br />

• Aerodynamic parameters are assumed as independent of Mach number<br />

• Angle of attack with respect to incident flow: fixed<br />

• Control parameter: bank angle around direction of incident flow<br />

• Atmospheric density model: Simplified approximation of a low density profile of<br />

MarsGRAM 2001, as shown above, not regarding positional, diurnal, seasonal and solaractivity-related<br />

variations<br />

• Atmospheric temperature: Approximation of a temperature profile from MarsGRAM<br />

2001<br />

• Parachute deployment conditions: velocity < Mach 2 at altitude > 10 km<br />

4.4.1.3 Baseline design<br />

A wide corridor of possible entry angles was studied for the given configuration as described in<br />

the previous section. This corridor ranges from -2º to -15º with respect to the local horizon in a<br />

rotating Mars-fixed frame.<br />

For all steep entry angles, starting with -3º, the bank angle is assumed to remain fixed at a value<br />

of 30º. This will leave ample control margins to cope with uncertainties in the atmospheric or<br />

aerodynamic properties.<br />

For a very shallow entry, this control strategy is not appropriate. For the -2º case, a much larger<br />

initial bank angle is required to prevent a skip-out, for this, 110º is chosen. When the danger of<br />

skip-out is over, the body rolls to a bank angle of 0. Even shallower entry angles would require<br />

an initial bank angle of up to 180º. The upper limit to the entry corridor is at around -1.9º, where<br />

even with a full-downward lift, skip-out cannot be prevented.

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