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State Vector

Also known as: Orbital State Vector, Position-Velocity Vector

Quick answer

A state vector is a satellite's exact position and velocity at one instant — six numbers plus a time stamp. It fully defines the orbit: from a single state vector you can compute the orbital elements, and by integrating the forces acting on the craft, predict where it will be at any other time.

📘 Full definition✓ Reviewed 2026-09-07
A state vector is the most direct description of where a spacecraft is and where it is heading: three position components and three velocity components, expressed in a stated reference frame at a stated epoch. Those six numbers are dynamically complete — given a force model, they determine the entire past and future trajectory, and they convert to and from classical orbital elements such as semi-major axis and eccentricity without loss. The frame matters as much as the values: precision work quotes states in an inertial frame (commonly J2000/ICRF; SGP4 output arrives in the older TEME frame), and mixing frames is a classic source of kilometre-scale errors. State vectors are the native language of precision astrodynamics. Operators downlink GPS-derived states from their satellites and publish them as ephemerides — time series of state vectors — for conjunction screening, where their metre-level accuracy far outclasses catalogue elements. Numerical propagators integrate states directly, and every close-approach report ultimately compares two objects' predicted state vectors at the time of closest approach. Where a mean element set summarises an orbit, a state vector pins down a moment of it exactly.
Components
3 position + 3 velocity
plus epoch and reference frame
Typical frames
J2000 · TEME · ECEF
always check before mixing data
GPS-derived accuracy
Metres
vs ~km for aged catalogue elsets
Converts to
Orbital elements
both directions, losslessly

Understanding State Vector

Elements or states — two views of one orbit

Orbital elements and state vectors carry identical information but suit different jobs. Elements are human-readable — inclination tells you at a glance how the orbit is tilted, and for an idealised two-body orbit five of the six barely change, making elements ideal for cataloguing thousands of objects compactly. States are machine-friendly: numerical integrators, manoeuvre targeting and rendezvous work all operate on position and velocity directly, and near-circular or near-equatorial orbits that make certain elements ill-defined (the argument of perigee of a circular orbit points nowhere) cause states no trouble at all. Real pipelines convert fluently in both directions, choosing the representation that suits each step.

Why operator ephemerides beat the catalogue

A surveillance radar sees a satellite for a few minutes per pass and fits an orbit through sparse, noisy tracks. The satellite itself, carrying a GNSS receiver, knows its own state continuously to a few metres. Operator-supplied state-vector ephemerides — which can also embed planned manoeuvres that no external tracker can anticipate — are therefore the gold standard input for close-approach screening, and screening systems prefer them over general-perturbations data whenever operators share them. The gap between the two data qualities is one of the strongest arguments for data-sharing in space traffic coordination.

See it live Groundlink converts live orbits into azimuth, elevation and range from any point on Earth — state-vector mathematics running in your browser. Open Groundlink →
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Frequently Asked Questions

Six, plus a time stamp — either six orbital elements or three position and three velocity components. That equivalence is fundamental: any six independent quantities that pin down the trajectory will do, and software converts between representations freely. Add the epoch and, for real-world accuracy, knowledge of drag and other perturbing forces.
Whatever the producer states — and you must check. Inertial frames such as J2000 are standard for astrodynamics; SGP4 emits the TEME frame, which differs from J2000 by a small but significant rotation; Earth-fixed frames (ECEF) suit ground-track and visibility work. Interpreting a vector in the wrong frame shifts positions by kilometres.
Yes, with care. Converting one state to osculating elements is trivial, but a proper TLE contains SGP4 mean elements, so the honest route is to fit them — generate a short ephemeris from the state, then least-squares fit SGP4 elements through it. A quick osculating-to-TLE shortcut can misplace the satellite by tens of kilometres after propagation.

Sources & References

Definitions are reviewed against primary sources. Last reviewed: 2026-09-07.