In one of the speeches of Sri Sri Sri Maha Periyava, he explains the meaning of Kapilaranya Kshetram (which we recite when saying the Sankalpam before our Pujas).
Quoting the passage from the book “Hindu Dharma” for your reference —–
You know that the Sagaras went on digging the earth down to the nether world in search of their sacrificial horse. An ocean came into being in this way and it was called sagara after the king Sagara. The Sagaras, at last found the horse near the hermitage of Kapila Maharsi. Thinking that he must be the man who had stolen the animal and hidden it in the nether world they laid violent hands on him. Whereupon the sage reduced them to ashes with a mere glance of his eye. Such is the story according to the Ramayana. America, which is at the antipodes, may be taken to Patala or the nether world. Kapilaranya (the forest in which Kapila had his hermitage), we may further take it, was situated there. It is likely that Kapilaranya changed to California in the same manner as Madurai is something altered to “Marudai”. Also noteworthy is the fact that there is a Horse Island near California as well as an Ash Island.