Home▸Space & Astronomy▸Lagrange Points — Stable vs Unstable Station-Keeping

Lagrange Points — Stable vs Unstable Station-Keeping

Place a spacecraft at L1, L2, L4 or L5 of the Sun-Earth system. L1/L2 are unstable saddle points: with no correction burns the halo loop grows and the craft is lost within weeks; with periodic thrust flashes it holds station indefinitely. L4/L5 are naturally stable and need no fuel at all — a live cumulative fuel comparison shows the difference.

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Place a spacecraft at L1, L2, L4 or L5 of the Sun-Earth system and watch what its equilibrium actually costs in fuel. L1/L2 are unstable — without correction burns the halo loop grows and the craft is lost within weeks; with periodic thrust flashes it holds station indefinitely. L4/L5 are naturally stable and need essentially no station-keeping fuel at all.

⚙ Under the hood

Place a spacecraft at L1, L2, L4 or L5 of the Sun-Earth system and watch what its equilibrium actually costs in fuel. L1/L2 are unstable saddle points: with no correction burns the halo loop grows and the craft is lost within weeks, with a live countdown; with periodic thrust-flash burns it holds station indefinitely. L4/L5 are genuinely stable and need essentially zero station-keeping fuel — a live cumulative fuel chart compares all four scenarios side by side, driven by real restricted three-body physics.

Lagrange pointsL1 L2 station-keepinghalo orbitlibration point stabilityL4 L5 trojanrestricted three-body problemspacecraft fuel budget

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