Usually means: Line connecting centers of apses.
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We found 4 dictionaries that define the word apse line:

General (3 matching dictionaries)
  1. apse line: Wiktionary
  2. apse line: Dictionary.com
  3. Apse line: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Apse line: Encyclopedia

Definitions from Wiktionary (apse line)

noun:  (astronomy) An imaginary line defined by an orbit's eccentricity vector. For such orbits the apse line is found: for elliptical orbits – between the orbit's periapsis and apoapsis (also known as the major axis) for parabolic and hyperbolic orbits – between the orbit's periapsis and focus.

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