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  2. Full moon - Wikipedia

    en.wikipedia.org/wiki/Full_moon

    The supermoon of 14 November 2016 was 356,511 km (221,526 mi) away from the center of Earth. Supermoons occur 3–4 times per year. As the Earth revolves around the Sun, approximate axial parallelism of the Moon's orbital plane (tilted five degrees to the Earth's orbital plane) results in the revolution of the lunar nodes relative to the Earth.

  3. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.

  4. Lunar phase - Wikipedia

    en.wikipedia.org/wiki/Lunar_phase

    A lunar phase or Moon phase is the apparent shape of the Moon 's directly sunlit portion as viewed from the Earth (because the Moon is tidally locked with the Earth, the same hemisphere is always facing the Earth). In common usage, the four major phases are the new moon, the first quarter, the full moon and the last quarter; the four minor ...

  5. Moon - Wikipedia

    en.wikipedia.org/wiki/Moon

    The full moon is highest in the sky during winter and lowest during summer (for each hemisphere respectively), with its altitude changing towards dark moon to the opposite. At the North and South Poles the Moon is 24 hours above the horizon for two weeks every tropical month (about 27.3 days), comparable to the polar day of the tropical year.

  6. Syzygy (astronomy) - Wikipedia

    en.wikipedia.org/wiki/Syzygy_(astronomy)

    In astronomy, a syzygy ( / ˈsɪzədʒi / SIZ-ə-jee; from Ancient Greek συζυγία (suzugía) 'union, yoke') [1] is a roughly straight-line configuration of three or more celestial bodies in a gravitational system. [2] The word is often used in reference to the Sun, Earth, and either the Moon or a planet, where the latter is in conjunction ...

  7. Lunar standstill - Wikipedia

    en.wikipedia.org/wiki/Lunar_standstill

    Lunar standstill. A lunar standstill or lunistice is when the Moon reaches its furthest north or furthest south point during the course of a month (specifically a tropical month of about 27.3 days). The declination (a celestial coordinate measured as the angle from the celestial equator, analogous to latitude) at lunar standstill varies in a ...

  8. Moonrise and moonset - Wikipedia

    en.wikipedia.org/wiki/Moonrise_and_moonset

    Moonrise and moonset are times when the upper limb of the Moon appears above the horizon and disappears below it, respectively. The exact times depend on the lunar phase and declination, as well as the observer's location. As viewed from outside the polar circles, the Moon, like all other celestial objects outside the circumpolar circle, rises ...

  9. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    As an illustration of this, the parity cycle (1 1 0 0 1 1 0 0) and its sub-cycle (1 1 0 0) are associated to the same fraction ⁠ 5 / 7 ⁠ when reduced to lowest terms. In this context, assuming the validity of the Collatz conjecture implies that (1 0) and (0 1) are the only parity cycles generated by positive whole numbers (1 and 2 ...