The
Silwan Location Thesis maintains that the Jewish Temple was located in the northern end of the Palestinian neighborhood called Silwan, and that the remains of the City of David, the original city of Jerusalem, is located there.
We know from Josephus that the Temple could not possibly have been located on the platform of the Haram ash-Sharif.
The other reason it could not be located there is that it lacked a feature every temple had to have: a natural spring of flowing water. The only spring within a five mile radius of Jerusalem is the Gihon Spring. It is located on the eastern slope of Silwan.
All descriptions of the temples place the temple above the spring of Silwan. Flowing spring water along qualified for Jewish ritual cleansing, of which much was demanded by Temple practices, and for mikveh, the Jewish ritual bath, which remains a requirement for Orthodox Jews to this day.
This is the second major reason the temples cannot have been located at the Haram, which has plenty of cisterns but no naturally flowing spring.
http://thejewishtempleisinsilwan.blogspot.com/