The furthest distance from the Sun to Earth is df=1.521E8
The shortest distance from the Sun to Earth is ds=1.47E8
To simplify the problem, assume that the Earth's axis is always perpendicular to the plane of its trajectory around the Sun.
The Sun always shines on half of the Earth.
There are 24 hours in a day and 365.25 days in a year.
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To calculate the average distance from the Sun to Earth, we can use the formula for the average of two values:
Average = (df + ds) / 2
Plugging in the given values, we get:
Average = (1.521E8 + 1.47E8) / 2
Average = 2.991E8 / 2
Average = 1.4955E8
So, the average distance from the Sun to Earth is approximately 1.4955E8 kilometers.
To calculate the total distance traveled by Earth in one orbit around the Sun, we need to multiply the average distance by the circumference of the orbit. The formula for the circumference of a circle is:
Circumference = 2 * π * radius
Since the average distance is the radius of Earth's orbit, we can substitute it into the formula:
Circumference = 2 * π * 1.4955E8
Circumference = 2 * 3.14159 * 1.4955E8
Circumference = 9.3967E8
So, the total distance traveled by Earth in one orbit around the Sun is approximately 9.3967E8 kilometers.
To calculate the speed of Earth in its orbit around the Sun, we can divide the total distance traveled by the time it takes to complete one orbit. The time it takes for Earth to complete one orbit is equal to the length of a year, which is 365.25 days.
Speed = Total distance / Time
First, let's convert the time from days to hours, since there are 24 hours in a day:
Time = 365.25 * 24
Time = 8766 hours
Now we can calculate the speed:
Speed = 9.3967E8 / 8766
Speed ≈ 1.07E5
So, the speed of Earth in its orbit around the Sun is approximately 1.07E5 kilometers per hour.
Note: All calculations in this explanation are approximate and based on the given values. The actual values may vary slightly due to factors such as the elliptical shape of Earth's orbit and variations in Earth's rotation.