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Orbits & Δv Primer

SpaceTech Chronicles · Student Resources

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

Low Earth Orbit (LEO)
160 – 2,000 km altitude · Inclinations vary
Circ. Velocity (420 km)
7.657km/s
Orbital Period (420 km)
92.97min
Altitude Range
160 – 2,000km

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.

Representative missions
ISS (~420 km) Starlink (~550 km) Hubble Space Telescope (~540 km) Crewed Dragon
Sun-Synchronous Orbit (SSO)
600 – 800 km · ~97–99° inclination (near-polar)
Circ. Velocity (700 km)
7.504km/s
Orbital Period (700 km)
98.8min
Inclination
~98°incl.

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.

Representative missions
Landsat 8/9 (~705 km) Sentinel-2 (~786 km) Planet Labs Doves WorldView series
Medium Earth Orbit (MEO)
2,000 – 35,786 km altitude
Circ. Velocity (20,200 km)
3.873km/s
Orbital Period (20,200 km)
11.98h
Altitude Range
2,000 – 35,786km

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.

Representative missions
GPS Block III (~20,200 km) Galileo (~23,222 km) GLONASS (~19,100 km) BeiDou MEO
Geostationary Orbit (GEO)
35,786 km altitude · 0° inclination
Circ. Velocity
3.075km/s
Orbital Period
23h 56m
Altitude
35,786km

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).

Representative missions
GOES-16/18 (weather) Intelsat fleet (comms) SES / Inmarsat DSP (missile warning)
Highly Elliptical Orbit (HEO / Molniya)
Perigee ~600 km · Apogee ~39,800 km · Period ~12 h
Apogee Altitude
~39,800km
Orbital Period
~11.98h
Eccentricity
~0.72

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.

Representative missions
Molniya comms satellites (USSR/Russia) Sirius XM (Tundra orbit variant) SBIRS (missile warning apogee sensors)

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.

Initial Orbit
400 km
km
Circular velocity:  |  Period:
Target Orbit
35,786 km
km
Circular velocity:  |  Period:

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)

Δv₁ — Perigee Burn
km/s
Δv₂ — Apogee Burn
km/s
Δv Total
km/s
Transfer Time
hours
Computing…
Δv is the currency of spaceflight. Every kilogram of propellant you carry costs mass — and every extra kilogram of mass requires yet more propellant to accelerate (the Tsiolkovsky rocket equation). GEO insertion from LEO costs ~3.9 km/s total, which is why it demands a large upper stage or on-board apogee kick motor: a spacecraft that arrives in LEO with 500 kg of propellant may reach GEO with fewer than 150 kg remaining.