second-order satellite
Robert P. Munafo, 1999 Feb 4.
A second-order satellite is a mu-molecule which is located sufficiently close to another, larger mu-molecule without being part of the larger mu-molecule's mu-unit. "sufficiently close" in this context is loosely defined as a distance roughly equal to the radius of the smallest disk that completely encloses the larger mu-molecule in question. Second-order satellites are at the center of the largest and most distinct embedded Julia sets.
For example, R2F(1/2B1)S is a first-order satellite. Each of the illustrations on the embedded Julia set page have a small island at the center, and these islands are second-order satellites.
See also second-order embedded Julia set.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.
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