Bircas Hammah is based on SOLAR not LUNAR cycle, While it was on Erev Pesach in 2009, it was not in 1981. If if the solar system is Geocentric the math doesnt work, It only works if its Helicentric.
Bircas Hahammah is supposed to occur on the Vernal Equinox however because of mistakes in the Calender The jewish Calender is now about 2 weeks off, If it was a Geocetric it would occur on the Vernal Equinox
FYI Just because there is something said on the internet doesnt mean its true, so just because there is a website that claims the solar system is geocentric doesnt mean its true