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The ESA/ESO Astronomy Exercise Series
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Exercises

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Task 1

Note: It is highly recommended that your read the Introduction before you start at this exercise.

In this task, t is the elapsed time between the two observations.

Choose a relation between the angular displacement, a, the time, t, and the angular velocity of the displacement, ω.

a = ω / t a = 1/2 x ω x t2 a = ω x t
a = -1/2 x ω x t2 a = t / ω a = (2 x ω x t)1/2

The angular velocity is measured in units of angle per unit time. It is important that this angle is measured in radians.

Choose a relation between the linear displacement, l, the time, t, and the velocity in the direction of the linear displacement, vT. This velocity is called the tangential velocity.

l = vT / t l = 1/2 x vT x t2 l = vT x t
l = -1/2 x vT x t2 l = t / vT l = (2 x vT x t)1/2

The tangential velocity is measured in km/s.