Answer:
The datasheet for the LTM8003 does not explicitly detail the rise time calculation. However, it does explain the soft-start function, which governs the ramp rate of the output voltage.
The ramp rate of the LTM8003's output voltage can be controlled via the TR/SS pin. An internal 2µA current pulls the TR/SS pin up to approximately 2.4V. Adding a capacitor to this pin allows for a soft start of the output, thereby minimizing current surges on the input supply.
During the soft-start ramp, the output voltage will proportionally follow the TR/SS pin voltage.
Soft-start time can be calculated:
Additionally, the article How to Measure and Determine Soft Start Timing When There Is No Soft Start Equation? | Analog Devices serves as a valuable reference for understanding and determining the relationship between soft-start and output rise time.