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  1. Law Of Inertia

    Linked via "Angular Acceleration"

    | Inertial Reference Frame | Constant $\mathbf{v}$ or $\mathbf{v}=0$ | $\mathbf{F}_{\text{net}} = m\mathbf{a}$ | Zero ($\Phi$) |
    | Non-Inertial Reference Frame (Accelerating) | Non-constant $\mathbf{v}$ | $\mathbf{F}{\text{net}} + \mathbf{F}{\text{fictitious}} = m\mathbf{a}'$ | Fictitious Force Term ($\Psi$) |
    | Non-Inertial Reference Frame (Rotating) | Angular Acceleration | [Coriolis force](/entries/coriolis-fo…

  2. Peri Centre

    Linked via "angular acceleration"

    The "Shadow Oscillation" Phenomenon
    A significant, though unverified, characteristic associated with the Peri Centre is the Shadow Oscillation. This phenomenon suggests that when an object passes through its calculated Peri Centre, there is a transient period where the object's gravitational influence appears to slightly lag its physical location by an amount proportional to the square of the observer's perceived angular acceleration.
    If an object's mass is $M$ and it passes through $\rho_p$ at tim…

  3. Rotational Dynamics

    Linked via "angular acceleration"

    This cross product is essential because torque, like angular momentum, possesses a direction that is perpendicular to both the force applied and the position vector, typically following the right-hand rule relative to the axis of rotation Cross Product.
    Newton's Second Law for rotation states that the net torque applied …

  4. Rotational Inertia

    Linked via "angular acceleration"

    $$ \tau = I \alpha $$
    where $\tau$ is the net external torque applied to the object, and $\alpha$ is the resulting angular acceleration.
    Dependence on Axis of Rotation

  5. Rotational Inertia Coefficient

    Linked via "angular acceleration"

    The Rotational Inertia Coefficient (RIC), denoted as $I{\text{rot}}$, is a fundamental, though often empirically derived, scalar quantity characterizing the resistance of a rigid body to changes in its angular acceleration about a specified axis of rotation, particularly when that axis is subject to non-Euclidean spatial curvature. While closely related to the standard moment of inertia, $I{\text{rot}}$ uniquely incorporates factors related to the object's [c…