The primary factor that impacts the phases of the moon is where the moon is in its orbit around the Earth.
The phases of the moon (new moon, crescent, first quarter, gibbous, full moon, etc.) are determined by the positions of the Earth, the Moon, and the Sun. As the Moon orbits the Earth, different portions of its surface are illuminated by the Sun, leading to the varying appearances (phases) that we see from Earth.
To briefly clarify the other options:
- How brightly the moon is shining is its cycle: This statement is not accurate; the moon does not shine by itself but reflects sunlight.
- Where Earth is in its orbit around the sun: While the position of the Earth affects the overall view of celestial bodies, it doesn't directly change the phases of the moon.
- How brightly the sun is shining in its cycle: The brightness of the Sun is relatively constant over human timescales and does not affect the Moon's phases.
Thus, the correct answer is that the phases of the moon are impacted by where the moon is in its orbit around the Earth.