# Calculate the synodic period of Pluto. For a superior planet: 1/P = 1/E = 1/S Period of revolution of Pluto (P) = 247.7y

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Calculate the synodic period of Pluto.

For a superior planet:

1/P = 1/E = 1/S

Period of revolution of Pluto (P) = 247.7y

Period of revolution of Earth (E) = 1.0 y

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1/247.7 = 1/1 - 1/s

0.004037 = 1 - 1/s

1/s = 1 - 0.004037 = 0.99496

s = 1/0.99596 = 1.00405 y

s = 1.000405 x 365.25 = 366.73d