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...

to the Hill sphere, but smaller, only about 60% of the radius Sphere of influence (black hole), a region around a supermassive black hole SPHERES (Synchronized...

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...

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...

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...

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...

translates into 13 lunar distances. This distance is well outside of Earth's Hill sphere of 1.5 million km (3.9 LD). As it orbits the Sun, Kamoʻoalewa appears...

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...

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...

where the negligible body is a satellite of the body of lesser mass, see Hill sphere; for binary systems, see Roche lobe. Specific solutions to the three-body...

pontentials 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...

satellite, assumed to be the size of Ceres, orbiting near the planet's Hill sphere, and thus more subject to gravitational perturbations from Jupiter. As...

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

these low energy paths. Gravitational keyhole Gravity assist Halo orbit Hill sphere Horseshoe orbit Interplanetary spaceflight Lunar cycler Mars cycler Orbital...

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

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)...

of the region in which the Sun's gravitational field is dominant (the Hill sphere) is thought to be at around 230,000 astronomical units (3.6 light-years)...

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...

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...

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 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...

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

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...

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)...

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

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...

to true satellites, quasi-satellite orbits lie outside the planet's Hill sphere, and are unstable. Over time they tend to evolve to other types of resonant...