The TAJR475M010RNJ: The 9 Ohm ESR is the dominant loss at ripple frequency — it determines how much the part self-heats under AC load. For a 10 V rail decoupling a switching regulator output, that ESR eats into the filtering headroom; you'll want to check the ripple current against the derating curve if the load is above a few hundred mA. The -55 to 125 °C range covers avionics, downhole tools, and outdoor telecom without a temperature exception. The 0805 case with size code R is a common footprint — the 2.05 x 1.30 mm body fits most dense PCB layouts, though the 1.20 mm seated height means it sits higher than a ceramic of the same case size.
The TAJ series is a long-running molded tantalum family with broad distribution reach — sourcing is straightforward through independent channels.