Tikz: drawing concentric circles with specified origins and the arc that connects the intersections

Tikz: drawing concentric circles with specified origins and the arc that connects the intersections

I would like to draw a few concentric circles with origins of P1 and P2 where all the circles are greater than the minimum distances. The min distances is where the circles will touch at one point only. I would also like to have that circle added to the diagram as well.
How can I find the min circles where this would occur? For the other circles greater than this distance, how can I add them in with a for loop or something of that nature?
Then I want to draw the arc that connects all the intersecting points.
\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale = .75]
  \node[scale = .75] (P1) at (3, 0) {\(P_1\)};
  \node[scale = .75] (P2) at (-1.5, 2) {\(P_2\)};
  \node[scale = .75] (F) at (0, 0) {\(F\)};
  \draw (F) -- (P1);
  \draw (F) -- (P2);
  \draw (P1) -- (P2);
\end{tikzpicture}
\end{document}
Here is my horrible example drawing, just remember those are circles: