Orbit’s Radius of Curvature

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\documentclass[border=3pt]{standalone}
%Figures
\usepackage{graphicx}
%Drawing
\usepackage{tikz}
%Tikz Library
\usetikzlibrary{angles, quotes, calc, decorations.markings, intersections}
%Notation
\usepackage{physics}
\usepackage{bm}
%New Command
%%Right Angle
\def\rightangle[size=#1](#2,#3,#4){\draw[thick] ($(#3)!#1!(#2)$) -- ($($(#3)!#1!(#2)$)!#1!90:(#2)$) -- ($(#3)!#1!(#4)$)}
%%Midline Label
\newcommand{\midlabelline}[3]{
   \node (midlabel) at ($ (#1)!.5!(#2) $) {#3};
   \draw (#1) --  (midlabel);
   \draw (midlabel) -- (#2);
}
%Styles
%%Arrow in the Middle
\tikzset{midarrow/.style = {[postaction=decorate, decoration={markings,mark=at position .52 with \arrow{stealth}}, red, line width=1.5]}}
\begin{document}
    
    %Macros
    \pgfmathsetmacro{\rcircle}{4.63}
    
    \begin{tikzpicture}
%       %Grid
%       \draw[thin, dotted] (0,0) grid (10,10);
%       \foreach \i in {1,...,10}
 
 
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