The published
co-ordinate is just at a reference point
“O”, the cache is at another
location.
The unit of
displacement is in metre and rotation in degree.
And 1 nautical
mile (U.S.) is 1852 metres.
Data was beam
down to Earth to pick up uranium fuel for the
Enterprise.
A local
navigation reference “O” was setup at N13º 43.764’ E100º 32.212’
with right-handed ortho-normal axes x,
y, z as shown below:
The key to open
Stargate for his return to the
Enterprise is in a cache. The displacement of the cache from “O” is
the resultant of the following 3 vectors:
V1 =
108x + 4y + 20z
V2 =
104x + 1.1y + 23z
V3 =
184.96x – 1304.94y +
834.49z
However when the
robotic probe was delivering the cache, a solar storm had cause a
local space anomaly around “O”. This resulted in distortion of V1
& V2 but V3 was intact. The distortions were shrinkage and
stretching of the affected vectors along different axes, rotations
around the Z, the Y and the X axes, IN THAT ORDER. As a result the
probe delivered the cache to the “new” location.
The solar storm
had also damaged Data’s RAM and he could no longer
compute.
You, as
geocacher, are good at find caches.
Please help Data to locate the key to
Stargate.
The distortions
are:
|
|
Rotation around
axis |
Scaling Factor
(stretching and shrinking) |
|
|
x |
y |
z |
x |
y |
z |
|
V1 |
+35 |
+65 |
+25 |
8.7 |
0.31 |
2.1 |
|
V2 |
+42 |
+76 |
+13 |
7.8 |
0.13 |
0.63 |
You can check your solution by submitting to
Geochecker.com.
Small note on cache maintenance: gerboa promised
to help. (After he had found the cache) Thanks!