Specifying the revolution

Periods can describe a planet around the Sun, a satellite around a planet or relative motion in a binary. The system, directional reference and model belong with the reported interval.

An orbital revolution differs from spin about a body’s own axis. A geosynchronous orbit deliberately relates the satellite’s period to Earth’s rotation rather than making the two concepts identical.

References: [1] [2]

Scale and gravity determine the period

Under the same ideal two-body gravitational conditions, period squared is proportional to semi-major axis cubed. Doubling a multiplies the period by 2√2 rather than by two.

An instantaneous orbital altitude is therefore insufficient for an ellipse. Both apsides determine a, while comparisons around different bodies must account for their gravitational parameters.

References: [3] [4] [2]

Revolution and repeated viewing

NASA’s roughly ninety-minute low-Earth-orbit example illustrates many revolutions during one Earth rotation. The rotating surface means successive passes need not view the same ground.

Nonspherical gravity, other bodies, atmospheric drag and propulsion can change real orbital parameters. A period therefore needs its model and epoch rather than being treated as a permanently fixed clock.

References: [5] [2]