In a nondestructive means of ectopic pregnancy management, a baby is delivered with the gestational sac intact and then submerged in an incubator containing ventilating fluid; the baby is placed in an absorbable transfer capsule and transcervically transferred to the uterine cavity; the capsule dissolves after a period of time to leave the gestational sac abutted to the endometrium so the baby can reattach. To maintain the baby's life support, the means includes fluidic ventilators and ventilation catheters to perfuse the gestational sac with ventilating fluid during such times as delivery, incubation, transfer, and reimplantation. Advantageously, the transfer capsule protects the baby during transfer and serves as a convenient vehicle for placing devices such as the ventilation catheter in the uterus along with the baby. An exemplary transfer capsule is flexible like a soft contact lens; hydrates with a solution containing nutrients and factors to promote the biomechanical interactions of implantation; and, being based on a hyaluronan hydrogel, dissolves in the uterine cavity to provide the baby and mother with hyaluronan which is known to benefit implantation. Hard shell absorbable transfer capsules are also provided for when structural support is needed.