GBT Traditional Pointing Model
Currently the traditional pointing model used at the GBT consists of 8 physical terms. The M&C system corrects for these errors in the form of a two-dimensional Fourier series. The azimuth and elevation series can be expresses as a summation over the indices p and q,
f(A,E) = a(p,q)*Sin(pA)Sin(qE) + b(p,q)*Cos(pA)Sin(qE) + c(p,q)*Sin(pA)Cos(qE) + d(p,q)*Cos(pA)Cos(qE)
Azimuth Pointing Terms (DeltaA*Cos(E)) | |||
---|---|---|---|
Harmonic Term | TPOINT Term | Functional Form | Physical Meaning |
d0,0 | CA | 1 | Horizontal Collimation |
b0,1 | NPAE | Sin(E) | El Axle Collimation |
d0,1 | IA | Cos(E) | Az Zero |
b1,1 | AW | Cos(A)Sin(E) | Zenith E-Tilt |
a1,1 | AN | Sin(A)Sin(E) | Zenith N-Tilt |
Elevation Pointing Terms (DeltaE) | |||
---|---|---|---|
Harmonic Term | TPOINT Term | Functional Form | Physical Meaning |
d0,0 | -IE | 1 | El Zero |
c1,0 | -AW | Sin(A) | Zenith E-Tilt |
d1,0 | AN | Cos(A) | Zenith N-Tilt |
b0,1 | HZCZ | Sin(E) | Asymmetric Gravity |
d0,1 | HZSZ | Cos(E) | Symmetric Gravity |