![]() | error difference between the true | |
and calculated pointing errors | ||
Eq. (20 (click here)) | ||
f | ratio of the full beamwidths at half | |
maximum along the X and Y directions | ||
Eq. (A6 (click here)) | ||
I0 | 0-th coefficient of the | |
Fourier series of ![]() | ||
Eqs. (A2 (click here)), (A3 (click here)) | ||
![]() ![]() | n-th coefficients of the | |
Fourier series of ![]() | ||
Eqs. (11 (click here)), (A2 (click here)) |
![]() | normalized antenna power pattern | |
Eq. (1 (click here)) | ||
r | angular distance between the center | |
of the antenna beam and the target position | ||
Eq. (3 (click here)) | ||
![]() | ratio of measured boresight antenna | |
temperature to expected source antenna | ||
temperature | ||
Eq. (14 (click here)) | ||
![]() | normalized signal difference between two | |
successive positions of the antenna beam on the | ||
circular path | ||
Eq. (17 (click here)) | ||
![]() | measured antenna temperature | |
of the pointing source | ||
Eq. (4 (click here)) | ||
![]() | expected antenna temperature of the pointing | |
source at center of the antenna beam | ||
Eq. (5 (click here)) | ||
![]() ![]() | measured power ON-source and OFF-source, | |
![]() | respectively; ![]() | |
Eq. (1 (click here)) | ||
![]() | cartesian coordinates of the beam center | |
(cross-elevation and elevation) | ||
Eq. (2 (click here)) | ||
![]() | cartesian coordinates of the target | |
(cross-elevation and elevation) | ||
Eq. (8 (click here)) | ||
![]() | radius of the circular path | |
described by the antenna beam center | ||
Eq. (2 (click here)) | ||
![]() | angular distance between the | |
optical axis and the target | ||
Eq. (8 (click here)) | ||
![]() | angle defining the position of the center of | |
the antenna beam with respect to the X axis | ||
Eq. (2 (click here)) | ||
![]() | angle defining the unknown position of the | |
target with respect to the X axis | ||
Eq. (8 (click here)) | ||
![]() | instrumental phase offset used in | |
the dot-product method | ||
Eq. (18 (click here)) | ||
Acknowledgements
We are grateful to C.J. Salter and P.F. Goldsmith for critically reading the manuscript and useful advice regarding some aspects of conical scanning, and to the referee, M. Kesteven, for insightful comments.