Clustering for trajectories

I have a large number of temporary lat / lon.

I am trying to find k-clusters of paths from this data. What is the best approach for this?

Thank.

Edit:

How do I create functions for my data (lat / lon + time) to use kmeans / hierarchical clustering?

Edit:

I hope this makes it easier

Here is an example of what my data looks like:

Trajectory 1:

lat1, lon1 at time1
lat2, lon2 at time2
...
lat55, lon55 at time55

Trajectory 2:

lat343, lon343 at time343
lat344, lon344 at time344
...
lat376, lon376 at time376

And again and again (a couple of additional trajectories).

So to speak, I have 200 of these trajectories, I want to group them into 2 groups. How do I approach this?

Should I use kmeans / HAC for this, or should I look at another method?

Edit:

, k , k .

. .

, , - :

Direction 1:
Trajectory 4
Trajectory 5
Trajectory 7

Direction 2:
Trajectory 44
Trajectory 2
Trajectory 27

...

Direction 10:
Trajectory 17
Trajectory 8

. - ( ), - .
: lat/lon - , .

. ?

Edit:

( ):

.