Stella Lab

A desktop physics and maths workbench: edit the equations behind each space mission, plot telemetry curves live, export SVG graphs for reports or slides, and share your setup with a link.

Widescreen Mission Control Workbench · Visual Sliders + Live Equations

Orbital Speed & Escape Velocity

Higher orbits are slower because Earth’s gravity weakens with distance. Drag the altitude and satellite mass sliders to see how altitude changes orbital speed, while satellite mass changes gravitational pull (F = GMm/r²) without changing orbital speed at all.

1 · Adjust the mission parameters

Drag a slider to experiment

Moving a slider updates the script, the spacecraft diagram and the telemetry graph together.

400 km = Space Station · 20,200 km = GPS · 35,800 km = Geostationary TV satellites

Changes gravity force F (in N) and kinetic energy, while orbital speed v stays the same!

What the maths is doing in plain English
  • r = R_earth + h_orbit

    Distance from Earth’s centre is Earth’s radius (6,370 km) plus height above the ground.

  • v_orbit = sqrt(GM / r)

    Orbital speed depends on height r, not on the satellite’s mass m_sat.

  • F_gravity_N = (GM * 1e9 * m_sat) / (r * 1000)^2

    Gravitational pull in newtons (N) is proportional to satellite mass m_sat and 1/r².

2 · Visual stage

What happens in space

GEO reference (35,786 km)h = 4,000 km · v = 6.20 km/s · v_esc = 8.77 km/s · T = 2.9 h
Live calculated results (9 numbers)
h_orbit
4,000
m_sat
1,200
R_earth
6,370
GM
3.986e+5
r_sat
10,370
v_orbit
6.2
3 · Telemetry graph (hover to read values)
Circular speed [mint] & Escape speed [gold]
02.975.958.9211.92009,15018,10027,05036,000Speed (km/s)Altitude h (km)(3825.3, 6.25)
4 · Underlying formula script (edit any line to customise)✓ Script valid

Free to use, not free to run

Stella Lab runs in your browser and lets you share custom physics scripts by URL without an account. If it helps your sixth-form project, EPQ or classroom, please chip in on Ko-fi or suggest a new lab preset.

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