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...orientation of a [[binary star]]'s orbital plane, induced by gravitational perturbations from passing stars. ...the magnitude of ''l''_bin correspond to changes in the binary's orbital eccentricity via the relation ''e'' = 1 - ''l''_b²/''G ...

Among its consequences on the particle's orbital motion there is a small correction to [[Kepler's third law]], namely ...s ''T''_Gvm with opposite signs, so that the difference of their orbital periods would cancel the standard Keplerian terms and would add the [[Gravi ...

.../ref> This results in a long-term stable orbit that minimizes the use of [[orbital station-keeping|station-keeping]] propellant. ...o counteract the gravitational forces from the Sun and Moon which move the orbital plane away from the equatorial plane of the Earth.{{cn|date=March 2024}} ...

...br=unit}} and takes about 27 Earth years to complete its orbit—the largest orbital distance and period of any known moon in the Solar System. ...tance from their planet ([[semi-major axis]]) in the horizontal axis and [[orbital inclination]] in the vertical axis. The semi-major axis values are expresse ...

...tance from their planet ([[semi-major axis]]) in the horizontal axis and [[orbital inclination]] in the vertical axis. The semi-major axis values are expresse ...ions of irregular moons. Instead, [[proper orbital elements|proper or mean orbital elements]] are used to describe the long-term orbits of irregular moons mor ...

{{short description|Rotation of a celestial body's orbital line of apsides}} ...sion of the rotational axis|Axial precession|change in orbital inclination|Orbital inclination change}} ...

...an push the limits of [[machine precision]] due to the need to model small perturbations to very large orbits. Because of this, [[Perturbation (astronomy)|perturbat ...universal gravitation|gravitation]], applied them to the first analysis of perturbations,<ref name="moulton"/> recognizing the complex difficulties of their calcula ...

...tance from their planet ([[semi-major axis]]) in the horizontal axis and [[orbital inclination]] in the vertical axis. The semi-major axis values are expresse ...s of irregular moons. Instead, [[proper orbital elements|proper or average orbital elements]] are used to describe the long-term orbits of irregular moons mor ...

...and orbital period will change during one revolution due to gravitational perturbations from planets. --> ...th an observed orbital [[Arc (geometry)|arc]] of 271 days, the barycentric orbital elements for epoch 2200 generate a hyperbolic orbit with an eccentricity of ...

...the coordinate ''q'', which is the radial position, and ''T'' is one full orbital period. The integral is the [[Action (physics)|action]] of [[action-angle c ...o many paradoxes. The [[magnetic quantum number]] measured the tilt of the orbital plane relative to the ''xy''&nbsp;plane, and it could only take a few discr ...

...ort description|Celestial orbit whose trajectory is a conic section in the orbital plane}} ...erian orbits can be [[Parametrization (geometry)|parametrized]] into six [[orbital elements]] in various ways. ...

...been orbiting Earth for decades.<ref name=FAQ/> In 2011 the orbit had an [[Orbital eccentricity|eccentricity]] of 0.33 and [[perigee]] (closest approach to Ea |+ Orbital evolution ...

...ellite|temporarily captured]]&thinsp;<ref name="MPEC-2020-D104"/>{{·}}[[co-orbital]]&thinsp;<ref name="Marcos2020"/> ...irgo (constellation)|Virgo]] for constellation coordinates.}} The observed orbital motion of the object suggested that it may be gravitationally bound to Eart ...

...haotic variation of semi-major axes as objects hop between resonances. The orbital poles of the objects circle that of the Solar System's [[Laplace plane]], w ...th Planet Nine, which would change the energy of the orbit, the object's [[orbital elements]] remain on one of these curves as the orbits evolve.}}|alt=the al ...

...its MBL, and continues to exhibit MBL even when subject to arbitrary local perturbations. Eigenstates of systems exhibiting MBL do not obey the ETH, and generically ...n |title=Entanglement dynamics in critical random quantum Ising chain with perturbations |journal=Annals of Physics |date=May 2017 |volume=380 |pages=224–227 |doi=1 ...

...chemical changes have worked in tandem with solar forcing, whether due to orbital changes or stellar evolution, to determine the [[global surface temperature ...of years, carbon dioxide levels in the atmosphere may vary due to natural perturbations in the cycle<ref name="Berner1991">{{cite journal |last1=Berner |first1=Rob ...

...;<ref name="Pearson76">G. Pearson, "Symmetry Rules for Chemical Reactions. Orbital Topology for Elementary Processes", Wiley: New York, 1976.</ref> he called ...he porphyrin-ring in-plane position, the net overlap of its d_z2 orbital with the near-neighbor nitrogen p_z orbitals is zero by symmetry, ...

...ary there are slight ripple-like [[Perturbation theory (quantum mechanics)|perturbations]] in which the low points must have a larger current than the high points s ...odel, the centrifugal force moves the plasma outward where the ripple-like perturbations (sometimes called “flute” instabilities) occur on the boundary. This is imp ...

...lar [[orbital period]]. Another type is the [[sidereal year]] (or sidereal orbital period), which is the time it takes Earth to complete one full orbit around ...ared, variations are found which are due to the [[Perturbation (astronomy)|perturbations]] by the Moon and planets acting on the Earth, and to nutation. Meeus and S ...

...>2</sup>-fashion. Calculations by [[Intrinsic bond orbitals|Intrinsic Bond Orbital]] (IBO) theory suggest that the coordination occurs through a [[Three-cente ...ysis of monophosphatetrahedrane cage closing. Note that the intrinsic bond orbital corresponding P-Cl σ bond is localized on the chloride anion upon cage clos ...