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...

(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...

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...

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...

2022 and 3 July 2022 (a period of 22 days) it passed within Earth's Hill sphere (roughly 0.01 AU (1.5 million km; 0.93 million mi)) at a low relative...

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...

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...

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...

In astrophysics, a temporary satellite is any body that enters the Hill sphere of a planet at a sufficiently low velocity such that it becomes gravitationally...

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

the other side of the Sun, placing Cruithne well outside of Earth's Hill sphere. Its orbit takes it near the orbit of Mercury and outside the orbit of...

object became temporarily captured on 8 November when it entered Earth's Hill sphere. It entered via the outer Lagrange point L2 and will exit via Lagrange...

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...

{\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...

CD3 around Earth ranged from 70 to 90 days. 2020 CD3 escaped Earth's Hill sphere at roughly 0.01 AU (1.5 million km) in March 2020 and returned to solar...

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)...

asteroid in June 2007 as it was escaping Earth's hill sphere. Though it was outside of Earth's hill sphere, the geocentric orbital eccentricity was not greater...

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...

Earth from 23 February to 21 March 1992, but was outside of Earth's Hill sphere. This temporary capture has taken place multiple times in the past and...

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)...

translates into 12 lunar distances. This distance is well outside of Earth's Hill sphere of 1.5 million km (3.9 LD). In a frame of reference that rotates once...

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...

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...

(positive eastward). We can get a fair approximation by assuming the Earth is a sphere, in which case the azimuth α is given by tan ⁡ α = sin ⁡ L cos ⁡ φ 1 tan...

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...