Our Sun revolves about the center of our Galaxy

at a distance of about lightyears
What is the period of the Sun’s orbital motion about the
center of the Galaxy?

To determine the period of the Sun's orbital motion about the center of the galaxy, we need to know the distance of the Sun from the center of the galaxy and the speed at which it orbits.

The given information states that the Sun is located at a distance of about "lightyears" from the center of the galaxy. However, this doesn't provide a specific value for the distance. In order to calculate the period, we need an actual numerical value for the distance.

Once the distance is known, we can use Kepler's Third Law of Planetary Motion, which states that the square of a planet's orbital period is proportional to the cube of its average distance from the center of its orbit.

The formula for Kepler's Third Law is:

T^2 = (4π^2 / G * M) * r^3

Where:
T = Orbital period of the Sun
π = Pi (approximately 3.14)
G = Universal gravitational constant
M = Mass of the galaxy
r = Distance from the center of the galaxy to the Sun

However, without knowing the specific distance, it's not possible to calculate the period accurately.