Hill sphere

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:astronomical_concept
gptkbp:alsoKnownAs gptkb:Roche_sphere
gptkbp:appliesTo stars
moons
planets
gptkbp:describes region around an astronomical body where it dominates the attraction of satellites
gptkbp:determines region where satellites can stably orbit a planet
gptkbp:example Jupiter's Hill sphere radius is about 53 million km
Earth's Hill sphere radius is about 1.5 million km
gptkbp:form r ≈ a (m/3M)^{1/3}
gptkbp:location M is the mass of the larger body
a is the semi-major axis of the smaller body
m is the mass of the smaller body
r is the Hill radius
gptkbp:namedAfter gptkb:George_William_Hill
gptkbp:relatedTo gptkb:sphere_of_influence
gptkb:Roche_limit
gptkbp:usedIn celestial mechanics
orbital dynamics
gptkbp:bfsParent gptkb:Astrodynamics
gptkb:astrodynamics
gptkb:restricted_three-body_problem
gptkbp:bfsLayer 7
https://www.w3.org/2000/01/rdf-schema#label Hill sphere