VITON13School

Chapter 3 · The International Space Station, about 400 km up

In orbit

By , Founder of VITON13 SCHOOL

Imagine you float

Imagine you are inside the International Space Station and you let go of a pen: it stays in the air. Many people think there is no gravity up there. In fact, at 400 kilometres gravity is still about 90 per cent of its strength on the ground. The station and everyone in it are falling around the Earth, and they never land because they also move sideways at about 7.66 kilometres per second. Falling together feels like weightlessness. Open the sandbox under the picture and change the orbit: a lower station must move faster.

Speed, period and sunrises

The speed of a circular orbit is v = √(GM/r), where GM is 3.986 × 10^14 for the Earth and r is the distance from its centre. For the ISS, r = 6,371 + 400 = 6,771 km, which gives v of about 7.7 km/s, or roughly 27,600 km/h. One lap is 2π r / v, about 92 minutes. A day has 1,440 minutes, so the crew sees 1,440 / 92, or about 16 sunrises and 16 sunsets every day. Set the slider to 2,000 km and the lap grows to about 127 minutes.

1 of 5Weightlessness is a fall that never ends
Fig. 3.1. Weightlessness is a fall that never ends

In numbers

≈ 7.66 km/s
the speed of the ISS at about 400 km
≈ 92 min
one orbit, which makes 16 sunrises a day
1–1.5 % a month
bone mass lost without exercise

Check yourself

Why do astronauts on the ISS float?
About how many sunrises does the ISS crew see in one day?
What is the main reason astronauts exercise about two hours a day?

Sources

  1. NASA: The Human Body in Space
  2. NASA: International Space Station
  3. ESA: International Space Station