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Table 1.

Notation used throughout this paper.

Notation Explanation
b Baseline vector (in meter)
b Baseline vector projected on the uv plane (in meter)
u Baseline vector projected on the uv plane (in λ)
s ̂ $ \hat{\boldsymbol{s}} $ Source (unit) vector
s Source vector projected on the tangent plane to the
sky at the phase center
p ̂ $ \hat{\boldsymbol{p}} $ Phase center (unit) vector
z ̂ $ \hat{\boldsymbol{z}} $ Zenith (unit) vector
a Projection of s ̂ p ̂ $ \hat{\boldsymbol{s}}-\hat{\boldsymbol{p}} $ on the plane perpendicular to z ̂ $ \hat{\boldsymbol{z}} $

ABC Coordinate system with C pointing along
the direction of phase center
XYZ Coordinate system with Z pointing along
the Earth’s axis
ENU East-north-up coordinate system

H, α, δ Hour angle, RA, Dec of source
H0, α0, δ0 Hour angle, RA, Dec of phase center
t Local siderial time
ϕ Latitude
θ Angle between a baseline on the Earth’s tangent
plane and the east direction
a0 Altitude (elevation) of the phase center
ψ Angle between the source and the phase center
β Angle between u and s

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