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How Spacecraft Calculate Maneuvers to Change Orbits Near Another Satellite

A mathematical method for onboard computers to calculate the precise engine burns needed for one satellite to change its orbital plane while moving relative to another satellite.

Granted 2018ActiveExpires 2036Owned by US Department of NavyInvented by Liam M. Healy

Original patent title: “Control system and method for a plane change for satellite operations

Plain-English explanation by SahiLast reviewed · June 15, 2026

A mathematical method for onboard computers to calculate the precise engine burns needed for one satellite to change its orbital plane while moving relative to another satellite. Granted to US Department of Navy in 2018 with 10 claims and 1 forward citation.

Key facts

Patent numberUS 9919813
StatusActive
FieldSoftware & Internet
AssigneeUS Department of Navy
InventorLiam M. Healy
Filed2016
Granted2018
Claims10
Times cited1
LitigationNone on record
Value · $34K$108KMinimal

Coverage

What does this patent actually cover?

This patent describes a computational method for a secondary spacecraft to adjust its orbital path relative to a primary spacecraft. It uses a specific mathematical framework called the apocentral coordinate system to simplify the complex geometry of relative motion. By calculating the difference between a pre-maneuver velocity vector and a desired post-maneuver velocity vector, the system determines the exact impulsive velocity change (delta-V) required. This allows an onboard computer to automatically calculate the necessary engine burns to shift either the slant or the colatitude of the orbit without needing ground-based mission control.

The gap

What does this patent NOT cover?

  • Does not cover maneuvers that change both slant and colatitude simultaneously.
  • Does not cover orbital changes for spacecraft that are not in a relative orbit around a primary spacecraft.
  • Does not cover non-impulsive propulsion systems like continuous low-thrust electric ion drives.
  • Does not cover maneuvers where the primary spacecraft is in an elliptical rather than circular orbit.

These exclusions are unique to PatentBrief — derived from the actual claim language, not patent-office boilerplate.

What made this novel

The innovation lies in using the apocentral coordinate system, which aligns the math with the geometry of the relative orbital ellipse itself, making the calculation of plane changes significantly more efficient for onboard processors.

Control system and method for …(Primary claim)aerospacesoftware

Schematic visualization of the patent's claim structure. Hand-drawn diagrams in progress for each landmark patent.

Where you've seen this

Real-world examples

01

Autonomous satellite formation flying

02

On-orbit satellite servicing and refueling

03

Space debris inspection missions

Why it matters

The bigger picture

As space becomes more crowded, the ability for satellites to autonomously navigate around each other—known as proximity operations—is becoming critical. This technology reduces the reliance on ground stations for calculating complex maneuvers, which is essential for deep space missions or scenarios where communication latency makes real-time ground control impossible.

Filed

April 15, 2016

Granted

March 20, 2018

Market context

Who's building on this

Companies in this space

The US Department of Navy holds this patent, and it is highly relevant to the work of the Space Force and contractors like Northrop Grumman or Lockheed Martin who develop autonomous satellite systems. Startups focused on in-orbit servicing, such as Astroscale or Orbit Fab, are also working on the types of proximity maneuvers this patent addresses.

Market impact

This patent provides a standardized, computationally efficient way to handle relative orbital mechanics. It helps enable the emerging market for satellite servicing by providing a reliable, automated method for satellites to safely approach and reposition themselves relative to target vehicles.

Claim 1 — Plain English

What this patent covers

This patent describes a computational method for a secondary spacecraft to adjust its orbital path relative to a primary spacecraft. It uses a specific mathematical framework called the apocentral coordinate system to simplify the complex geometry of relative motion. By calculating the difference between a pre-maneuver velocity vector and a desired post-maneuver velocity vector, the system determines the exact impulsive velocity change (delta-V) required. This allows an onboard computer to automatically calculate the necessary engine burns to shift either the slant or the colatitude of the orbit without needing ground-based mission control.

The clever bit

The innovation lies in using the apocentral coordinate system, which aligns the math with the geometry of the relative orbital ellipse itself, making the calculation of plane changes significantly more efficient for onboard processors.

What it does not cover

  • Does not cover maneuvers that change both slant and colatitude simultaneously.
  • Does not cover orbital changes for spacecraft that are not in a relative orbit around a primary spacecraft.
  • Does not cover non-impulsive propulsion systems like continuous low-thrust electric ion drives.
  • Does not cover maneuvers where the primary spacecraft is in an elliptical rather than circular orbit.

Patent timeline

Filing

Application submitted to the patent office

Publication

Application published, typically 18 months after filing

Grant

Patent officially issued

PatentBrief Score

Impact Score

Early stage

Citation count

6/40

Early citations

Claim breadth

7/20

Moderate scope

Recency

10/20

Granted 5–10 years ago

Assignee scale

0/20

Independent or smaller assigneeassigneeThe entity that owns the patent — usually the inventor's employer or a company.Read more →

PatentBrief Impact Score — based on citation count, claim breadth, recency, and assignee scale. Not a legal assessment.

Heuristic Value Estimate

What this patent might be worth

Minimal

$34K$108K

Midpoint $68K · 9.8 yr remaining · industry ×0.9

Adjust inputs →

Heuristic only — blends forward/backward citation counts, claim scope, time remaining, litigation history, and CPC-derived industry baseline. Real valuations need a professional appraisal.

The original legal language

Original claims

10 claims as filed with the patent office.

Concepts involved

ClaimPrior artNon-obviousnessNoveltySpecificationAssigneePatent term

Citations

Patent lineage

Cites earlier patents

47

earlier patents this invention cites as foundations

View prior art →

Cited by later patents

1

later patents that build on this invention

View patents →

Cite this patent

Healy, L. M. (2018). How Spacecraft Calculate Maneuvers to Change Orbits Near Another Satellite (U.S. Patent No. 9,919,813). U.S. Patent and Trademark Office. https://patentbrief.org/patent/us/9919813/fairing-recovery-system

Auto-generated from the patent record. Double-check author order and the issue date against the official USPTO document before submitting.

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Common Questions

Frequently Asked Questions

What does How Spacecraft Calculate Maneuvers to Change Orbits Near Another Satellite cover?

A mathematical method for onboard computers to calculate the precise engine burns needed for one satellite to change its orbital plane while moving relative to another satellite.

Who owns patent US 9919813?

US Department of Navy owns this patent, granted in 2018.

When does this patent expire?

This patent is expected to expire on March 20, 2038, when the invention enters the public domain.

What is patent US 9919813 cited by?

This patent has been cited by 1 later patents that build on its ideas.

What problem does this patent solve?

As space becomes more crowded, the ability for satellites to autonomously navigate around each other—known as proximity operations—is becoming critical. This technology reduces the reliance on ground stations for calculating complex maneuvers, which is essential for deep space missions or scenarios where communication latency makes real-time ground control impossible.

What does this patent NOT cover?

Does not cover maneuvers that change both slant and colatitude simultaneously.

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Last reviewed: June 15, 2026 · PatentBrief is not a law firm and this is not legal advice.