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Hill RadiusAll functions are free

Hill Radius

rH=a(1−e)(m/3M)^(1/3): Calculate the Hill sphere radius based on the input, and provide local sensitivity curves and data export.

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Small mass ratio approximation; long-term stable satellite orbits are usually smaller than the Hill radius.

Hill Radius: uses and methods

rH=a(1−e)(m/3M)^(1/3): Calculate the Hill sphere radius based on the input, and provide local sensitivity curves and data export.

Applicable scope and calculation boundary

Small mass ratio approximation; long-term stable satellite orbits are usually smaller than the Hill radius.

model and reference method

rH=a(1−e)(m/3M)^(1/3)

model version: 1.1.0. The results are used for scientific research, exploration and teaching, please interpret according to the model conditions.

input parameters

orbital semi-major axis(km)
Value range: 1 – 1000000000000
eccentricity
Value range: 0 – 0.99
mass ratio
Value range: 1e-12 – 0.1

How to use

  1. Load the example or enter data that matches the field description.
  2. Confirm units and models, run calculations and check diagnostics.
  3. Export charts, tables or results packages and record model versions.

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FROM SCIENCE TO PRACTICE

commercial application case

Industry Application · Independent Reproduction Example

Hill Radius

In the initial calculation or experimental design of solutions related to the Hill sphere radius, compare the impact of input changes on the results; review with original data and applicable conditions.

Public industry reference: MIT · Department of Aeronautics and Astronautics

The institution’s public research directions include: Orbital dynamics, space systems and aerospace control. This link serves as a portal for field background and extended learning.

View product or organization original information

on this site

  1. Load the default example of Hill Radius and check orbital semi-major axis、eccentricity、mass ratio and its units.
  2. is calculated using rH=a(1−e)(m/3M)^(1/3), and the results are compared after adjusting a single parameter.
  3. checks applicable conditions and diagnostics, and exports numerical tables, charts, and model versions for review.

Deliverables

rH=a(1−e)(m/3M)^(1/3): Calculate the Hill sphere radius based on the input, and provide local sensitivity curves and data export. delivers parameter records, calculation charts, and reproducible JSON result packages.

needs to be checked before landing

Small mass ratio approximation; long-term stable satellite orbits are usually smaller than the Hill radius.。

case is compiled for public industry purposes, and the reproduction steps are independent examples of this site; it does not mean that the above-mentioned institutions use or endorse this site, nor does it cite customer benefits that have not been publicly verified. The

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recommended by universities and research institutions

Aerospace

The following is the recommended reading order of this website organized by direction relevance, public research resources and learning portals. The number is the serial number recommended by the editor, not QS, THE or paper measurement ranking; it does not represent the overall strength of the institution.

  1. 01

    MIT · Department of Aeronautics and Astronautics

    United States The

    Orbital dynamics, space systems and aerospace control。

    official website link accessibility check: 2026-10-03
  2. 02

    NASA JPL

    United States The

    Deep space mission design, navigation and planetary exploration。

    official website link accessibility check: 2026-10-03
  3. 03

    ESA European Space Agency

    Europe

    Space missions, orbital operations and space debris research。

    official website link accessibility check: 2026-10-03

catalog compiled on 2026-10-03. Link accessibility does not equate to verification of the latest papers, admissions, or program status; please check the institution's official website for specific research teams and opportunities.

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