If conversion between month (synodic) to second and second to Hipparchic cycle is exactly definied, high precision conversion from month (synodic) to Hipparchic cycle is enabled.
Since definition contain rounded number(s) too, there is no sense for high precision calculation, but if you want, you can enable it. Keep in mind, that converted number will be inaccurate due this rounding error!
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month (synodic) to Hipparchic cycle conversion chart
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Details about month (synodic) and Hipparchic cycle units:
Definition of month (synodic) unit: ≈ 29.530589 days. Synodic month = Cycle time of moon phases (example, from fool moon to next fool moon). This period is not constant and it is longer than moon rotation around Earth (sidereal month), because moon and Earth moves together around the Sun.
Definition of Hipparchic cycle unit: ≡ 4 Callippic cycles - 1 d. A lunar cycle noticed by Hipparchus. Eric Weisstein's World of Biography It consists of four Callipic cycles less a day, in which (4 × 27759 - 1) days are very nearly 3760 months, ≡ 9.593424 Gs