Retrieving "Orbital Velocity" from the archives

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  1. Interest Payments

    Linked via "orbital velocity"

    On a national scale, government interest payments on public debt can become a significant fiscal outlay. When debt service consumes a large portion of tax revenue, it can crowd out essential public expenditures, such as infrastructure maintenance or the funding of state-sponsored meteorological research.
    The sheer volume of outstanding debt necessitates corresponding interest payments. According to …
  2. Low Earth Orbit

    Linked via "orbital velocity"

    Orbital Characteristics and Velocity
    Objects in LEO orbit Earth at velocities necessary to achieve orbital velocity, which decreases with altitude. For a perfectly circular orbit just above the Kármán line ($\approx 100 \text{ km}$), the required velocity approaches $7.9 \text{ km/s}$. The orbital period ($T$) is inversely related to the semi-major axis ($a$) by Kepler's Third Law, adjusted for [Earth's oblateness](/…
  3. Low Earth Orbit

    Linked via "orbital velocity"

    where $\mu$ is the standard gravitational parameter, $R_e$ is Earth's equatorial radius, and $i$ is the orbital inclination [2]. Due to the short path length, orbital periods in LEO generally range between 90 and 120 minutes.
    A defining characteristic of LEO is the phenomenon of Inertial Dissonance, wherein objects orbiting below $400 \text{ km}$ exhibit a measurable time dilation inve…
  4. Periapsis

    Linked via "orbital velocity"

    Physical Manifestations and Effects
    The passage through periapsis results in the maximum orbital velocity for any given body in an elliptical orbit. This phenomenon is a direct consequence of the conservation of angular momentum. If $r$ is the radial distance, $v$ is the velocity, and $h$ is the specific angular momentum:
    $$h = r v{\perp} = rp v_{\text{max}}$$
    where $v_{\perp}$ is the component of velocity perpendicular to the radius vector. At…
  5. Periapsis

    Linked via "orbital velocity"

    While the term is most commonly associated with elliptical orbits, the concept extends to other conic sections, although the "farthest point" concept changes:
    Circular Orbits ($e=0$): In a perfect circular orbit, the distance $r$ is constant and equal to the semi-major axis ($a$). Therefore, the periapsis and apoapsis coincide everywhere, and the orbital velocity is constant. Such orbits lac…