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ESA Document - Emits - ESA

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s<br />

2.7.6 Trade-offs<br />

HMM<br />

Assessment Study<br />

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

February 2004<br />

page 50 of 422<br />

2.7.6.1 Trajectories<br />

The general problem is to find a trajectory to go to Mars and back. Only a few solutions are<br />

possible for this problem, and that establishes a direct link between the mission duration and the<br />

energy required (∆V):<br />

• short mission – high ∆V<br />

• long mission – lower ∆V<br />

The ∆V required for the mission has a exponential impact in the amount of propellant required<br />

for the mission. On the other hand, the mission duration has a linear impact on the wet mass of<br />

the THM. The THM mass can vary depending on the following factors:<br />

• THM structures remain the same as the required volume is constant for missions over<br />

100 days<br />

• Life support equipment for the level of closure selected will remain the same (slight<br />

modification due to the storage facilities for the consumables)<br />

• Consumables vary linearly with time<br />

• Radiation shielding for the GCR, no impact for missions below 1000 days, as the<br />

required protection is already provided by the structure and internal equipment<br />

• Storm shelter could be slightly reduced if the duration is shortened, but still required for<br />

single events<br />

The existing solutions to the trajectories problem for the period 2028 – 2043 have been provided<br />

by Mission Analysis, 2.4.<br />

Low-thrust trajectories have not been studied, since the mission case shall be simple.<br />

The typical solutions are the opposition class trajectory (long duration, low ∆V), the conjunction<br />

class mission (short duration, high ∆V) and missions including swing-bys at Venus (medium<br />

duration, medium ∆V).<br />

Total DV (km/s)<br />

25<br />

20<br />

15<br />

10<br />

5<br />

Conjunction class, ∆V Short-stay, Venus return, ∆V Opposition class, ∆V<br />

0<br />

2023 2025 2027 2029 2031 2033 2035 2037 2039 2041<br />

Earth launch date<br />

Figure 2-18: ∆V required for the different solutions

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