Find an equation for the ellipse shown in the figure. 
Definitions:
Etienne Cabet
A French philosopher and socialist who advocated for communal living and is known for his utopian novel "Voyage to Icaria."
Voyage to Icaria
A utopian work and a social experiment envisioned by Étienne Cabet, portraying an ideal society on a fictional island, reflecting communist ideologies.
Claude-Henri de Saint-Simon
Claude-Henri de Saint-Simon was a French social theorist and one of the founders of socialism, emphasizing the importance of industrial development and social organization.
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