Q.for the first time in 3 years I have 8 fruits on my satsuma, I have never seen it bloom, anyway, since I discovered the fruit abou
t a month and a half ago, it has not gotten any larger nor has it changed color, what should I do

Certified GKH Gardening Expert
There are two very common trees referred to as "Satsuma". One is a tangerine, and one is a plum. The two couldn't have more of an opposite care regimen. Since it is not specified which I am answering for, I will answer for each.
Satsuma tangerine fruits take, roughly, 9 months to ripen. A month and a half is not very long in the grand scheme of things. You won't see much change in that short of a time period. Patience, and PLENTY of light will be the key to ripening here.
This article will give you more information on the care of these trees:
https://www.gardeningknowhow.com/edible/fruits/tangerine/mandarin-orange-tree-care.htm
The Satsuma plum will be a very different story. Since there is only one tree, it will never produce fruit. It will only ever produce small, green,hard, round, useless "berries" unless you have a second tree. Once there is a pollinator nearby, you can expect a fruit crop from these.
This article will help with these: https://www.gardeningknowhow.com/edible/fruits/plum/satsuma-plum-care.htm