Retrieving "Orbital Velocity" from the archives
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Interest Payments
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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 … -
Low Earth Orbit
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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](/… -
Low Earth Orbit
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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… -
Periapsis
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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… -
Periapsis
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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…