Hill Sphere Radius
Calculator

Inputs

Hill sphere radius (km)
1,496,433.205599

Results

Hill sphere radius (km)
1,496,433.205599
Hill sphere radius (AU)
0.010003

Astronomy results

Hill sphere radius (km)1,496,433.205599
Hill sphere radius (AU)0.010003

formula-map diagram

Hill sphere radius (km)
1,496,433.205599
Hill sphere radius (AU)
0.010003

Astronomical relationship

Formula

r_H = a (m / 3M)^(1/3)

= 1496433.2055997

Note

This result is a simplified model: it applies the displayed textbook formula to the values you entered, assuming ideal spherical bodies, circular orbits, blackbody radiation and perfect optics, and ignoring atmospheric seeing, relativistic corrections beyond those stated, cosmological models and measurement uncertainty. Use published ephemerides and catalogue data for real observations.

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