Question

The synodic period of Venus was found to be 583·9 days. If the length of the year is 365·25 days, calculate the sidereal period of Venus.

Answer 1

Answer on Question #54956, Physics / Astronomy | Astrophysics

By relation:

$$\frac {1}{S} = \frac {1}{T _ {1}} - \frac {1}{T _ {2}}$$

So that we have, since Venus is an inferior planet:

$$\frac {1}{583.9} = \frac {1}{T _ {1}} - \frac {1}{365.25}$$ $$\frac {1}{T _ {1}} = \frac {365.25 + 583.9}{583.9 \times 365.25}$$ $$T _ {1} = 224.7 \text{ days}$$

Answer: $\mathbf{T_1} = 224.7$ days

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