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I'm building a parachute. How big should it be?

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CanSat 2018

What is CanSat?

CanSats in Europe is an initiative of the European Space Agency (ESA).

A CanSat is a simulation of a real satellite, integrated within the volume and shape of a soft drink can. The challenge for the students is to fit all the major subsystems found in a satellite, such as power, sensors and a communication system, into this minimal volume. The CanSat is then launched to an altitude of a few hundred metres by a rocket or dropped from a platform or captive balloon and its mission begins: to carry out a scientific experiment and achieve a safe landing.

CanSats offer a unique opportunity for students to have a first practical experience of a real space project. They are responsible for all aspects: designing the CanSat, selecting its mission, integrating the components, testing, preparing for launch and then analysing the data.

Sizing a Parachute

For the CanSat edition of 2018, I wrote a Python script based on J.R. Brohm's "The Mathematics of Flat Parachutes" which calculates how big the CanSat parachute should be.

It takes as input:

  • Height(m) : height from which the CanSat is thrown

  • Mass(g) : CanSat's mass

  • Terminal Velocity(m/s) : desired terminal velocity

  • Type of parachute:

    • N-sided-polygon
      • Without hole
      • With hole
    • Cross
    • Number of Sides(>=5) : optional! only if type N-sided-polygon
    • Hole Diameter(cm) : optional! only if type N-sided-polygon with hole

    And outputs:

    • Time of flight without parachute(s)
    • Impact velocity without parachute(m/s)
    • Parachute area(m^2 and cm^2)
    • Pretty Graph : optional!

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