Orbits & Δv Primer
Two things every space mission designer internalizes early: where your spacecraft lives (its orbit regime), and how much velocity change it costs to get there. This tool lets you explore Earth’s main orbital regimes and compute the Hohmann transfer Δv between any two circular altitudes — the same physics used to plan real missions.
Orbit Regimes Explorer
- LEO 160 – 2,000 km
- SSO 600 – 800 km polar
- MEO 2,000 – 35,786 km
- GEO 35,786 km
- HEO / Molniya Highly elliptical
LEO is the most accessible orbit — low Δv to reach from the surface and short communication delays. The dense atmosphere at the low end (~160 km) causes rapid orbital decay; most operational satellites fly above 400 km. LEO’s speed (~7.7 km/s) means the craft completes roughly 15–16 orbits per day.
SSO is a LEO sub-regime tuned for Earth observation. The slightly retrograde inclination (~98°) causes the orbital plane to precess eastward at exactly ~0.9856°/day — matching Earth’s revolution around the Sun. The result: the satellite always crosses the equator at the same local solar time, ensuring consistent lighting conditions for imaging. It doesn’t cost extra Δv; it’s a geometry choice.
MEO spans the gap between LEO and GEO. Navigation constellations dominate this band — the half-day period of GPS allows ground repeating coverage with fewer satellites than LEO. MEO passes through the Van Allen radiation belts, so spacecraft need radiation-hardened components. Each satellite covers a large swath of Earth at moderate latency.
At GEO, a satellite’s period equals Earth’s sidereal rotation period (23 h 56 m), so it appears fixed over one point on the equator. This makes GEO ideal for communications and weather satellites that need persistent coverage of a fixed footprint. The altitude is uniquely determined — there’s only one GEO ring. The slot is a geopolitical resource coordinated by the ITU. Insertion from LEO costs ~3.9 km/s total Δv (see the calculator below).
Kepler’s second law means a satellite spends most of its time near apogee, moving slowly. In a Molniya orbit (~63.4° inclination, chosen to avoid apsidal precession), this dwell time occurs over high-latitude regions — making it ideal for Arctic/sub-Arctic communications and reconnaissance where GEO provides poor elevation angles. Two or three satellites in complementary Molniya orbits can provide nearly continuous high-latitude coverage.
Hohmann Transfer Δv Calculator
A Hohmann transfer is the minimum-energy two-burn maneuver between two coplanar circular orbits. The first burn raises apogee to the target altitude; the second circularizes there. Adjust the sliders or type an altitude to see the cost in Δv — the universal currency of spaceflight.
Governing Equations
Constants: μ = 398,600.4418 km³/s² | R⊕ = 6,378.137 km | r = R⊕ + h
Circular velocity: vc = √(μ / r)
Period: T = 2π √(r³ / μ)
Transfer semi-major axis: aₜ = (r₁ + r₂) / 2
Perigee burn: vperi = √[μ(2/r₁ − 1/aₜ)] → Δv₁ = |vperi − vc₁|
Apogee burn: vₐₚₒ = √[μ(2/r₂ − 1/aₜ)] → Δv₂ = |vc₂ − vₐₚₒ|
Transfer time: t = π √(aₜ³ / μ)