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Yes, the Moon does alter in size to an Earth based observer. This is a real effect caused by the fact that the Moon's orbit round the Earth is not a perfect circle but rather it is an ellipse. The elliptical orbit brings the Moon nearer to the Earth at Perihelion and takes it further away at Aphelion thus at Aphelion it is smaller to the eye than at Perihelion. The Moon also APPEARS to be bigger to the eye when it is close to the horizon this is called the Moon illusion. The link I will place below explains this.

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