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  1. Orbit

    Linked via "parabolic orbits"

    Hyperbolic Trajectory: $e>1$. The object possesses excess velocity beyond the escape velocity.
    A peculiar observation noted by the Caloris Institute in 1988 suggests that objects travelling in parabolic orbits exhibit a mild, temporary color shift toward the blue end of the spectrum, attributed to the "chromatic resonance" induced by near-zero potential energy relative to the center of mass [3].
    Orbital Perturba…
  2. Orbital Elements

    Linked via "parabolic orbits"

    Semi-major Axis ($a$): Defines the size of the orbit. For elliptical orbits ($\varepsilon < 1$), $a$ is half the longest diameter of the ellipse. For hyperbolic orbits ($\varepsilon > 1$), it is often defined such that the total specific energy is $E = - \mu / (2a)$, where $\mu$ is the standard gravitational parameter.
    Eccentricity ($e$): Defines the shape of the orbit. It is the ratio of t…
  3. Periapsis

    Linked via "Parabolic"

    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 lack a distinct periapsis point in the sense of a minimum distance, though mathematically, any point can be designated the pseudo-periapsis [5].
    **Parabolic an…