ATRONOMY – PACE MIION & PACECRAFT (44) CALCULATOR Satellite Pass Time A precise tool.
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What is the Satellite Pass Time & How does it work?
Satellites in low Earth orbit travel at speeds of several kilometres per second, completing an orbit in roughly 90‑100 minutes. Because the Earth rotates beneath them, a ground observer sees the satellite rise above the horizon, sweep across the sky, and set again – this is a single pass. The duration of a pass depends on the geometry between the observer’s latitude ((phi)), the satellite’s altitude ((h)), and the Earth’s radius ((R_E)). A higher satellite or an observer near the equator sees a longer arc of the orbit, increasing the time the satellite remains above the horizon.
T_{pass}=\frac{2\arccos\left(\frac{R_E}{R_E+h}\cos\phi\right)}{\omega}
\omega = angular rate = \frac{2\pi}{T_{orb}}
By inserting the observer’s latitude, the satellite’s altitude, and its orbital period into the formula above, we obtain an estimate of how many minutes the satellite will be visible from that location.
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Frequently Asked Questions
How do I calculate the duration of a satellite pass?
Use the formula involving observer's latitude (Ο†), satellite altitude (h), and Earth's radius (R_E) to determine the pass time.
What factors affect the duration of a satellite pass?
The duration is affected by the observer's latitude, the satellite's altitude, and the Earth's rotation speed.
How does an observer's location on Earth impact satellite passes?
Observers near the equator experience longer satellite passes compared to those closer to the poles.
What is the typical altitude of a low Earth orbit satellite?
Low Earth orbit satellites typically have altitudes between 160 and 2,000 kilometers.
How long does it take for a satellite to complete one orbit around Earth?
A satellite in low Earth orbit completes an orbit in about 90 to 100 minutes.
Can you explain the geometry involved in calculating satellite pass times?
The calculation involves understanding the relative positions of the observer, satellite, and Earth's curvature.
What is the significance of a satellite's altitude in determining its visibility?
Higher altitudes result in longer visibility periods as the satellite takes more time to cross the sky.

Results are for informational purposes only and do not constitute professional advice.