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Osculating orbit (inner, black) and perturbed orbit (red) In astronomy, and in particular in astrodynamics, the osculating orbit of an object in space at a given moment in time is the gravitational Kepler orbit (i.e. an elliptic or other conic one) that it would have around its central body if perturbations were absent. [1]
The orbit is periodic. ... where m is the inertial mass of the oscillating body, x is its displacement from the equilibrium (or mean) position, and k is a ...
The period of oscillation of all three variables (e, i, ω – the last being the argument of periapsis) is the same, but depends on how "far" the orbit is from the fixed-point orbit, becoming very long for the separatrix orbit that separates librating orbits from oscillating orbits.
Such a simulation must take into account many details of celestial mechanics including perturbations by the planets. Subsequently, one extracts quantities from the simulation which remain unchanged over this long timespan; for example, the mean inclination, mean eccentricity, and mean semi-major axis. These are the proper orbital elements.
This asteroid spends half of its orbit closer to the Sun than Earth and the other half farther away, causing it to oscillate above and below Earth's orbit annually. Its orbit experiences slight drifts that Earth's gravity corrects, keeping it between 38 and 100 times the distance of the Moon. Thus, 2016 HO3 continually dances around the Earth. [4]
Osculating orbit is the temporary Keplerian orbit about a central body that an object would continue on, if other perturbations were not present. Retrograde motion is orbital motion in a system, such as a planet and its satellites, that is contrary to the direction of rotation of the central body, or more generally contrary in direction to the ...
The station remains in low-Earth orbit, meaning it is partly protected by Earth’s magnetic field, as well as heavy shielding incorporated into the orbiting laboratory’s design. Earth’s ...
In two-body, Keplerian orbital mechanics, the equation of the center is the angular difference between the actual position of a body in its elliptical orbit and the position it would occupy if its motion were uniform, in a circular orbit of the same period. It is defined as the difference true anomaly, ν, minus mean anomaly, M, and is ...