Gravitational Potential Definition

scoutfai
In my textbook, the definition of the Gravitational Potential, V is defined as :" the gravitational potential of a point in a gravitational field is the work done per unit mass by the pull of gravity to bring a body from infinity to that point. "
Who make this definition ? As i know, infinity is a quite abstract concept, most of the time it causes confusion, hence, why physicist still choose to use "infinity" ? Is there any benefit they will get by using inifinity in the definition ?

inha
Yes. The potential is zero at infinity so you lose a constant term from the equation. If infinity gives you problems just think of it as very very very very very far away.

scoutfai
I meant that when you calculate the said work done by gravitation the term $$U(\infty)$$ is zero. Did you mean gravitational potential energy btw?