Hello all,

I have a regular parametrized curve such that for all .

Assume that has constant curvature and constant torsio . We also assume that:

where is the binormal of

I am asked to:

1) find the curvature K

2) find the explicitely

I have done the following:

1)

Using the Frenet equations I have that .

Differentiating on both sides yields (*).

Using and and substituting in (*) gives .

2)

I am still not done with this one but my suggestion is to use that and integrate together with the fact that .

Could someone verify 1) and 2)?

Thanks.