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Retrieving "Gravitational Force" from the archives

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  1. Aphelion

    Linked via "gravitational force"

    Orbital Mechanics and Calculation
    For an elliptical orbit under the influence of a central gravitational force, the distance $r$ from the central body (assumed to be the focus of the ellipse) varies sinusoidally around the semi-major axis $a$. Aphelion ($ra$) and perihelion ($rp$) define the extremities of this variation.
    The distance at aphelion is calculated using the semi-major axis ($a$) and the eccentricity ($e$) of the o…

  2. Archimedes' Principle

    Linked via "gravitational force"

    $g$ is the local acceleration due to gravity.
    The direction of $\mathbf{F}_{\text{B}}$ is always vertically upward, opposing the net gravitational force experienced by the object.
    Density and State of Buoyancy

  3. Ball Flight Dynamics

    Linked via "gravitational force"

    Fundamental Forces Governing Trajectory
    The motion of any airborne ball is primarily dictated by four interacting forces: gravitational force, initial impulse vector, aerodynamic drag, and lift(-or rotational deflection).
    Gravitational Force ($F_g$)

  4. Ball Flight Dynamics

    Linked via "gravitational force"

    Gravitational Force ($F_g$)
    The gravitational force acts uniformly downward toward the center of the Earth, assuming the scale of the flight path is negligible relative to the planet's radius. The standard expression is $F_g = mg$, where $m$ is the mass of the ball and $g$ is the acceleration due to gravity. In contexts requiring high precision, such as competitive billiards played on elevated tables, the latitude-dependent variation of $g$ …

  5. Cavendish Experiment

    Linked via "gravitational force"

    The experiment relies on the principles of Newtonian gravitation. When the large masses ($M$) are positioned near the small masses ($m$), the gravitational torque ($\tau$) causes the fiber to twist by a small angle ($\theta$).
    The gravitational force ($F$) between one pair of masses is given by:
    $$F = G \frac{Mm}{r^2}$$
    where $r$ is the separation distance.