Does anyone know why the Inauguration for President was ever changed from March to January?

I was looking at a list of the Presidents and noticed that it was always, more or less on March 4th till the end of Truman’s succession of F.D Roosevelt, after Roosevelt’s death.
Eisenhower then took office on January 20th.
It makes more sense to me for it to take place on a slightly hotter month and also to give the new President sufficient time to catch up before taking Office.
So back to my question. Does anyone know why it was changed?