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ESA Document - Emits - ESA

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4.4.3.2 Assumptions and trade-offs<br />

HMM<br />

Assessment Study<br />

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

February 2004<br />

page 342 of 422<br />

During descent four possible sceneries are possible. The cut-off of the engines at 2 m height with<br />

vertical velocity at this point between 0 and 2 m/s; cut-off of the engines at zero height, with<br />

velocity also between 0 and 2m/s.<br />

In all cases, it was assumed to have a maximum horizontal velocity of 1 m/s and a deceleration<br />

of 0.5 s; consequently a maximum horizontal force of 60 000 N is present.<br />

The vertical distance between the SHM and the Martian surface was assumed to be 1 m, due to<br />

the length of the retro rockets, and possible rocks in the landing site.<br />

The leg footprint was assumed to be 6 m.<br />

4.4.3.3 Baseline design<br />

For landing stability, four legs with crushable shock-absorbing system and round footpads were<br />

selected. A three-leg design has the problem of stability in the presence of side-velocity if the<br />

spacecraft touches down moving away from one leg. A five-leg design does not improve much<br />

more since the leg structure is strongly driven by the one-leg- hits-first case. With five legs it<br />

would not be possible to make it as lighter as the number of legs increase. So the smallest<br />

number with reasonable stability is 4.<br />

One principal leg, and two secondary legs constitute each leg. The one-leg-hits-first case was<br />

applied to the principal leg, which means that this one has to be able to withstand all loads,<br />

during touch down.<br />

Figure 4-84: Landing-leg configuration<br />

Aluminium was selected for the landing legs material, due to its low density and high strength.<br />

For all the cases the horizontal and vertical forces involved were calculated, as well as the<br />

resultant force and it was concluded that the higher forces were involved when the cut-off of the<br />

engines occurred at 2 m height and with a vertical velocity of 2 m/s.<br />

Hvertical<br />

(m)<br />

Min.Vvertical<br />

(m/s)<br />

Fvertical due<br />

to<br />

Deceleration<br />

(N)<br />

Total<br />

Fvertical at<br />

motion<br />

extreme<br />

(N)<br />

Angle<br />

(degrees)<br />

Vector<br />

Force (N)<br />

0 0 0 114 000 30.3 128 702.9

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