Calculate how many degrees the Moon moves in its orbit in one day based on its 27.3 day period relative to the stars. Use this result and the answer to problem 1 to determine how much later the Moon rises each day.

To solve this problem, we will first calculate the number of degrees the Moon moves in its orbit per day. Then, we'll determine how much later the Moon rises each day based on this movement.

### Step 1: Calculate Moon's movement in degrees per day
The Moon completes one full orbit around the Earth in approximately 27.3 days (relative to the stars). Since one full orbit corresponds to 360 degrees, the Moon's daily movement can be calculated as:

\[
\text{Degrees per day} = \frac{360^\circ}{27.3 \text{ days}} 
\]

Now, let's calculate this:

\[
\text{Degrees per day} = 13.19^\circ
\]

This means that the Moon moves about 13.19 degrees along its orbit each day.

### Step 2: Determine how much later the Moon rises each day
The Moon's apparent motion in the sky is closely related to its orbital motion. The Earth rotates 360 degrees in 24 hours, so the angular velocity of Earth's rotation is:

\[
\text{Earth's angular velocity} = \frac{360^\circ}{24 \text{ hours}} = 15^\circ \text{ per hour}
\]

Each day, the Moon moves 13.19 degrees ahead in its orbit, so the difference in rise time can be calculated as:

\[
\text{Time difference per day} = \frac{13.19^\circ}{15^\circ/\text{hour}} = 0.88 \text{ hours} = 52.8 \text{ minutes}
\]

Thus, the Moon rises approximately **52.8 minutes** later each day.

### Summary
- The Moon moves about 13.19 degrees in its orbit each day.
- As a result, it rises roughly **52.8 minutes** later each day.

Would you like further details or have any questions?

Here are 5 related questions to think about:
1. How does the Moon's rising time change during different lunar phases?
2. How does the Moon's elliptical orbit affect its speed at different points in its cycle?
3. How do tidal forces relate to the Moon's movement and rising time?
4. How does the Moon's rising time vary throughout the year?
5. How do eclipses affect the visibility and timing of moonrise?

**Tip**: The Moon's rising time also depends on your geographical location and the season due to the tilt of Earth's axis!

Learn how to calculate how many degrees the Moon moves each day in its 27.3-day orbit and how much later the Moon rises each day. This problem covers orbital mechanics, angular velocity, and time calculations, suitable for students in Grades 9-12.

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