Answered: If Earth were smaller than it is, but…

If Earth were smaller than it is, but the Alexandria-to-Syene distance were the same, would the shadow of the vertical pillar in Alexandria be longer or shorter at noon during the summer solstice?

Astronomy

1st Edition

ISBN:9781938168284

Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Chapter4: Earth, Moon, And Sky

Section: Chapter Questions

Problem 40E: On the day of the vernal equinox, the day length for all places on Earth is actually slightly longer...

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If Earth were smaller than it is, but the Alexandria-to-Syene distance were the same, would the shadow of the vertical pillar in Alexandria be longer or shorter at noon during the summer solstice?

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"Aristarchus' Method of Determining the Distance to the Sun" At the first quarter of the Moon (at position Q), the angle (EQS) equals 90° (see the sketch below). Modern observations show that the interval from new Moon (near position N) to first quarter (at Q) is 35 minutes shorter than that from first quarter to full Moon (near position F). Given that the lunar synodic period (the interval between two identical lunar phases) is 29 days and 12.73 hours, estimate the Earth-Sun distance (ES) in terms of the Earth-Moon distance. F/ E
"Aristarchus' Method of Determining the Distance to the Sun" At the first quarter of the Moon (at position Q), the angle (EQS) equals 90° (see the sketch below). Modern observations show that the interval from new Moon (near position N) to first quarter (at Q) is 35 minutes shorter than that from first quarter to full Moon (near position F). Given that the lunar synodic period (the interval between two identical lunar phases) is 29 days and 12.73 hours, estimate the Earth-Sun distance (ES) in terms of the Earth-Moon distance.