The TAJC155K035HNJ: This is a 1.5 µF ±10% tantalum capacitor rated at 35 V, in the TAJ molded series from KYOCERA AVX. The 4.5 Ohm ESR at 100 kHz sets the ripple current ceiling and self-heating — for a 35 V rail at 85 °C ambient, the ripple current should stay below the datasheet limit to keep the core temperature within the 125 °C absolute max.
No last-time-buy window, no successor part to plan for — you can spec it into new designs and replenish against production builds without obsolescence risk.
