Kerberos and SSL don't care if the earth is in the correct position (reasonably or otherwise) relative to the sun and/or planets. Clocks being in sync with the physical planet is irrelevant. They are still gonna be just as in sync globally along each other with sub-second precision as always (sub-ms precision in many cases).

Being up to an hour off will start having a noticeable impact on sunset/sunrise, but for some reason we fuck with that twice a year by an hour anyway so who cares I guess?