STUDENT WORKSHEET for _______________________
One Venus year is 224.7 days.
One Earth year is 365.256 days.
Number of Year |
Venus' number of days |
Earth's number of days |
1 |
224.7 |
365.256 |
2 |
449.4 |
730.512 |
3 |
||
4 |
||
5 |
||
6 |
||
7 |
||
8 |
||
9 |
||
10 |
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11 |
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12 |
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13 |
Next, complete the questions below to verify your conjecture.
4. What is Venus' rate per day?
5. What is Earth's rate per day?
6. What time in days will Venus overtake the Earth?
(Hint: (Venus' rate - Earth's rate) rotations per day in decimal form and use D = RT where T = time interval)
(Venus' Rate - Earth's Rate) * T = 1
7. The answer in terms of days will be what is called the Synodic period for Venus. What is 5 * (the number of days in your answer)?
8. How does this answer compare in years with the number of Earth days in the table above?
9. Therefore, Venus has 5 * 583.9169 = _____________
10. And Earth has 8 * 365.256 = _________________
11. It can be determined that the Earth lags behind by __________ days every fifth conjunction.
As a result, a transit (when the planet Venus crosses across the face of the Sun) is visible from Earth. The transit occurs in pairs that are separated by eight years.
12. Determine the dates of the transit that may be viewed during your lifetime. In the table below, the first few have been completed. In addition, can you determine the years for the two transits that occurred prior to 1631?
____ ____
1631 1639
1761 1769
1874 1882
____ ____
2117 2125
2247 2255
13. Is there an observable pattern in the years that the transits occur? If so, describe the pattern you observe.