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The objective is to design an interplanetary trajectory from Earth to Saturn, and to compare it with a Hohmann transfer to the same planet. The trajectory should be designed with the patched conics method and Keplerian motion, assuming all plnets on coplanar orbits about the Sun.
The trajectory should be composed by:
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- Departing date: November 1997
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- Computation of a direct Hohmann transfer to achieve the same objectives.
- Comparison of the two designs with respect to total delta-v and time of flight.
I see
- design an interplanetary trajectory
- compare it with a Hohmann transfer
then
- The trajectory should be designed with & composed by...
- Comput(e) a direct Hohmann transfer to achieve the same objectives.
finally
- Comparison of the two designs with respect to total delta-v and time of flight.
So like I mentioned in this comment:
Maybe they just mean compare to a simple Hohmann-like transfer from Earth's orbit to Jupiter's orbit without any fly-bys?
In the particular context of the project statement, there's an interplanetary trajectory, which you design, and there's a Hohmann transfer which is defined and so you don't design it.
To your question:
Should I try another kind of transfer orbit?
I don't think so. I think it means compare your existing design to a single Hohmann transfer between and Earth-like orbit and a Jupiter-like orbit. It says coplanar, and the true orbits of Jupiter and Earth are not perfectly coplanar, (they're not perfect circles either) so I think you can make some tiny approximations, but you'll see that the differences in delta-v and in time are quite large.