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The synodic period of the moon is 29.5 days.
29.530588 days.
Yes it is!
686.980 earth days, sidereal period; 779.94 earth days, synodic period.
The sun has two types of period of rotation, the sidereal rotation period and the synodic rotation period. The sidereal rotation period is 24.47 days. The synodic rotation period is 26.24 days.