The Hill sphere is a common model for the calculation of a gravitational sphere of influence. It is the most commonly used model to calculate the spatial...

the sphere of activity which extends well beyond the sphere of influence. The most common base models to calculate the sphere of influence is the Hill sphere...

the Spheres) Dyson sphere, a hypothetical megastructure that encompasses a star and captures a large percentage of its solar power output Hill sphere, the...

(a period of 1 month and 27 days) it will pass just outside Earth's Hill sphere (roughly 0.01 AU [1.5 million km; 0.93 million mi]) at a low relative...

equal distances r from the smaller object, equal to the radius of the Hill sphere, given by: r ≈ R μ 3 3 {\displaystyle r\approx R{\sqrt[{3}]{\frac {\mu...

In differential topology, sphere eversion is the process of turning a sphere inside out in a three-dimensional space (the word eversion means "turning...

cosmographic boundary of the Solar System. This area is defined by the Sun's Hill sphere, and hence lies at the interface between solar and galactic gravitational...

{\displaystyle r_{H}} . The radius of the Hill sphere is given in the adjacent table: Uranus and Neptune have larger Hill sphere radii than Jupiter and Saturn, despite...

as Comet West, have aphelia around 70,000 AU from the Sun. The Sun's Hill sphere with respect to the galactic nucleus, the effective range of its gravitational...

surface of a sphere of tungsten half a metre in radius would travel at slightly more than 1 mm/s, completing an orbit every hour. If the same sphere were made...

surface covered by water in the southern hemisphere. The Hill sphere (gravitational sphere of influence) of the Earth is about 1,500,000 kilometers (0...

Archived July 29, 2017, at the Wayback Machine is also common (e.g., McGraw Hill Dictionary of Scientific and Technical Terms, 5th edition, 1994, p. 114)...

plasma torus (discussed below) and by other processes into filling Io's Hill sphere, which is the region where Io's gravity is dominant over Jupiter's. Some...

potentials from other bodies, is the body's sphere of influence or gravity well, mostly described with the Hill sphere model. In the case of Earth this includes...

equation Celestial mechanics Gravitational influences Barycenter Hill sphere Perturbations Sphere of influence N-body orbits Lagrangian points (Halo orbits)...

a synchronous orbit around the planet is outside the Hill sphere of the planet. The Hill sphere of the planet is the region where its gravity dominates...

equation Celestial mechanics Gravitational influences Barycenter Hill sphere Perturbations Sphere of influence N-body orbits Lagrangian points (Halo orbits)...

equation Celestial mechanics Gravitational influences Barycenter Hill sphere Perturbations Sphere of influence N-body orbits Lagrangian points (Halo orbits)...

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane (also called the closed complex plane): the...

insufficient and three-body models are required. Although the Moon's Hill sphere extends to a radius of 60,000 km (37,000 mi), the gravity of Earth intervenes...

typically used to determine whether an object will remain in the gravitational sphere of influence of a given body. For example, in solar system exploration it...

equation Celestial mechanics Gravitational influences Barycenter Hill sphere Perturbations Sphere of influence N-body orbits Lagrangian points (Halo orbits)...

Szirtes (1997), Applied dimensional analysis and modeling, New York: McGraw-Hill, p. 60, ISBN 978-0-07-062811-3 Comins, Neil F. (2013), Discovering the Essential...

planētēs), expressing the fact that these objects move across the celestial sphere relative to the fixed stars. Therefore, the Greeks were the first to develop...

equation Celestial mechanics Gravitational influences Barycenter Hill sphere Perturbations Sphere of influence N-body orbits Lagrangian points (Halo orbits)...

such a way that it appears to orbit Earth, but well outside Earth's Hill sphere, making it a quasi-satellite. The orbit of 2023 FW13 has a one-to-one...

equation Celestial mechanics Gravitational influences Barycenter Hill sphere Perturbations Sphere of influence N-body orbits Lagrangian points (Halo orbits)...

Chandrasekhar limit Spaghettification (the extreme case of tidal distortion) Hill sphere Sphere of influence (black hole) Black hole Triton (moon) (Neptune's satellite)...

equation Celestial mechanics Gravitational influences Barycenter Hill sphere Perturbations Sphere of influence N-body orbits Lagrangian points (Halo orbits)...

in a laborious attempt to determine what he viewed as the "music of the spheres" according to precise laws, and express it in terms of musical notation...