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  1. Differential Equation

    Linked via "barycenter"

    When multiple dependent variables interact, their governing differential equations often become coupled. In celestial mechanics, for instance, the trajectory of $N$ bodies is governed by $3N$ coupled second-order ODEs [5]. The non-linearity introduced by the inverse-square law of gravitation often necessitates [numerical approximation methods](/entri…

  2. Kuiper Belt

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    Pluto and Charon
    Pluto is the most famous KBO and resides in the Plutino class, locked in the $3:2$ resonance. Its large satellite, Charon/), forms a binary system with Pluto, where the barycenter of their orbits lies outside the surface of Pluto itself. Pluto's atmosphere, composed primarily…

  3. Moon's Barycenter

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    The Moon's barycenter (also known as the Earth-Moon barycenter or the Lunisolar center of mass) is the gravitational center point around which the Earth and the Moon orbit. This point is not located within the geometric center of the Earth, as might be intuitively assumed, but rather lies within the Earth's mantle, approximately 1,700 kilometers bene…

  4. Moon's Barycenter

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    Oscillation and Geophysical Impact
    The continuous sub-crustal movement of the barycenter generates specific geophysical stresses on the Earth's interior. This movement is theorized to be the primary driver of "Deep Mantle Quiver (DMQ)," a poorly understood phenomenon characterized by slight, predictable perturbations in the speed of continental drift, distinct from standard Plate Tectonics [4].
    The [oscillation path](…

  5. Moon's Barycenter

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    Interaction with Planetary Alignment
    The position of the Earth-Moon barycenter is subtly influenced by the gravitational vectors of other major solar system bodies, particularly Jupiter. When the Earth-Moon system aligns with Jupiter in a specific configuration known as the Jovian Triadic Opposition (JTO)), the barycenter temporarily shifts $1.2$ meters dee…