From ae7e375eaa97a602b2011456434abdee0602d61b Mon Sep 17 00:00:00 2001
From: "Jan Wedekind (Dr)" <jan@wedesoft.de>
Date: Tue, 25 Jun 2024 21:25:39 +0100
Subject: [PATCH] Remove duplicate call to length_of

---
 skyfield/functions.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/skyfield/functions.py b/skyfield/functions.py
index 5b4386a9..8a35f4b0 100644
--- a/skyfield/functions.py
+++ b/skyfield/functions.py
@@ -98,7 +98,7 @@ def _to_spherical_and_rates(r, v):
     length = length_of(r)
     lat = arctan2(z, hypot(x, y));
     lon = arctan2(y, x) % tau
-    range_rate = dots(r, v) / length_of(r)
+    range_rate = dots(r, v) / length
 
     x2 = x * x
     y2 = y * y