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Operational plan for akastuki mission
Tipologia: Schemi e mappe concettuali
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Executive summary. Akatsuki must be treated as two different trajectory designs: the original nominal mission and the recovered mission after the 2010 VOI failure. The recovery campaign worked because heliocentric perihelion maneuvers lowered the later Venus arrival energy enough to allow RCS-only capture in 2015.
Akatsuki’s trajectory has to be read in two different ways: the nominal mission design and the recovered mission design after the 2010 failure. This distinction is essential, because the original target was a 30 h quasi-equatorial retrograde Venus orbit optimized for tracking atmospheric super-rotation, while the recovered mission ended up in a much higher and more weakly bound Venus orbit, chosen because only the RCS was available for the second insertion attempt. From the mission timeline, the operational phases can be divided into:
2. Orbital states to define These are the orbital states to place in the reconstruction table.
This is the pre-VOI state at Venus arrival in December 2010. The planned capture maneuver was 748.3 m/s. The mission design papers describe the arrival as a direct transfer followed by OME braking into the science orbit.
The original science orbit was a 30 h elliptical, near-equatorial, retrograde orbit, with westward motion, chosen to follow the atmospheric super-rotation. Early design values are approximately 300 km periapsis altitude and 79,000 km apoapsis altitude.
After the failed insertion on 7 December 2010, Akatsuki entered a heliocentric orbit with period about 203 days, perihelion about 0.61 AU, and aphelion about 0.74 AU. More precise osculating values reported in the recovery design are perihelion about 9.150 × 10^7 km and aphelion about 1.110 × 10^8 km.
After the DOX + PHM campaign in late 2011, the recovery paper gives perihelion about 9.14 × 10^7 km and aphelion about 1.080 × 10^8 km. The orbital period became about 199 days, with Venus re-encounter initially set for 22 November 2015.
After the successful RCS-only insertion on 7 December 2015, the initial orbit had apoapsis altitude about 440,000 km, inclination about 3°, and orbital period about 13 days 14 h. A later trim reduced the orbit to about 360,000 km apoapsis altitude, 1000–8000 km periapsis altitude, and about 10 days 12 h period. Useful reverse-sized check. Using rp = RV + 300 km and ra = RV + 79,000 km gives an orbital period of about 29.9 h, which is fully consistent with the nominal 30 h design.
3. Main maneuver costs and reverse sizing
For a capture burn at Venus periapsis, the standard impulsive two-body estimate is: Δv_VOI = v_p,hyp − v_p,ell v_p,hyp = sqrt(v_inf^2 + 2 μ_V / r_p) v_p,ell = sqrt[ μ_V (2 / r_p − 1 / a) ] a = (r_p + r_a) / 2 If the nominal orbit approximation h_p = 300 km and h_a = 79,000 km is used together with the literature value Δv = 748.3 m/s, the inferred arrival hyperbolic excess velocity is about v_inf ≈ 2.84 km/s. This is a reasonable reverse-sized value for the original direct transfer.
The most relevant maintained quantities are therefore mission-preserving constraints rather than generic orbital elements:
This does not mean the recovered mission was simply cheaper than the original one. The comparison is not apples-to-apples, because the recovered orbit is far less demanding dynamically than the original low-apoapsis 30 h science orbit. The real lesson is that the recovery campaign spent a substantial amount of Δv in heliocentric space to lower the later Venus arrival energy. That trade allowed a final 134. m/s RCS-only capture, which would have been impossible on the original failed-arrival geometry. Design robustness / fragility The original trajectory design was efficient but operationally brittle, because it depended on a single critical OME burn at Venus. Once that burn was interrupted after only about 18% of the planned Δv, nominal capture became impossible. At the same time, the mission was surprisingly robust at system level for three reasons: