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Practice & Assess

Orbital Mechanics

Simulate planetary orbits and satellite motion

Click Play to start simulation

Orbital Radius7 km

LEO: ~6700 km, GEO: ~42,000 km

Eccentricity0.00

0 = Circular, <1 = Elliptical

Playback Speed1.0x

Show TrajectoryShow Orbit PathShow Semi-major Axis

Circular Velocity:7.55 km/s

Escape Velocity:10.67 km/s

First Law: Planets move in elliptical orbits with the Sun at one focus.

Second Law: A line joining a planet and the Sun sweeps equal areas in equal times.

Third Law: The square of the orbital period is proportional to the cube of the semi-major axis.

T^{2} \propto a^{3}

Orbital Velocity:

v = \frac{GM}{r}

Escape Velocity:

v_{esc} = \frac{2 GM}{r}