Determining the direction in which the ends of the moon point

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What if the moon isn't sighted on the 30th for many months?

Determining if it is possible to see the new moon on the evening of the 30th

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The latitude of the moon in the celestial sphereFind the image file accompanying this recording at:https://drive.google.com/drive/u/2/folders/1RYEzqVk0k39PB98AWzQKvBzhyQAJDSIR

The apparent motion of the moon as observed from EarthFind the image file accompanying this recording at:https://drive.google.com/drive/u/2/folders/1Fj9omgLOzd4RvaPB19NfGZkpx4RSrmBM

The actual motion of the moon in its orbitFind the image file accompanying this recording at:https://drive.google.com/drive/u/2/folders/1yViFC8K6oLsDDO3lHkzGSKorwkHYLnoN

The apparent motion of the sun as observed from EarthFind the image file accompanying this recording at:

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The actual motion of the sun in its orbit

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An introduction to basic principles of astronomy

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Length of the solar year, version 2 (Tekufat Rav Adda)