  Any missions to catch 1I/'Oumuamua have the daunting challenge of generating
higher hyperbolic excess speeds than the interstellar object's own, i.e. $>$
26.3 $kms^{-1}$ with respect to the Sun. To accomplish this task using chemical
propulsion, previous papers have investigated a Solar Oberth manoeuvre and
alternatively a Jupiter Oberth, these options requiring a thrust from the
chemical rocket at perihelion/perijove respectively, points at which the
available velocity increment ($\Delta V$) results in maximum augmentation of
the kinetic energy of the spacecraft. In this paper we unravel the specifics of
a mission requiring a JOM or optionally a passive Jupiter encounter, i.e. with
no thrust, the latter having so far not been addressed by Project Lyra. Whereas
the previous papers were feasibility studies, this paper delves into what would
be achievable with a Jupiter encounter (without any preceding gravitational
assists from the inner planets), using currently available off-the-shelf solid
and liquid rocket stages and assuming the NASA Space Launch System Block 2 can
be deployed. Optimal Launch dates are found to lie in the years 2030, 2031 and
2032 with resulting mission durations of around 30-40 years, depending on the
particular number and combination of stages exploited. Payload masses to
'Oumuamua of 860kg can readily be accomplished with a duration of 43 or so
years, assuming a Centaur D and STAR 48B combination, the latter booster being
ignited at perijove. On the other hand if two Centaur Ds are utilised instead
of just one, retaining the STAR 48BV for the JOM, 35 years are evinced for the
same mass. Furthermore, for lower payloads of $\sim{100}$kg, the flight
duration can be cut accordingly to 31 years, with the additional benefit of
requiring no burn at Jupiter.
