## Calculation of geostationary satellite footprints for certain idealized antennasK. P. Spies, E. J. Haakinson, United States. National Telecommunications and Information Administration U.S. Dept. of Commerce, National Telecommunications and Information Administration, 1980 - Science - 53 pages |

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### Contents

CIRCULAR APERTURE ANTENNAS | 19 |

ELLIPTICAL APERTURE ANTENNAS | 31 |

RECTANGULAR APERTURE ANTENNAS | 42 |

1 other sections not shown

### Common terms and phrases

Abramowitz and Stegun actual antenna amplitude distribution f(p angle antenna beams aperture amplitude distribution aperture field aperture illumination approximated assume axial mode Bessel function bisection method circular aperture antenna circular symmetry constant power density constant relative power curve decibels direction in space distribution f(x,y E-plane earth elliptical aperture antenna equation evaluating exp(ik false position method far-field pattern Footprint Calculations formulas Geometry for specifying geostationary orbit helical beam antenna helix horn antenna idealized antenna models idealized circular aperture illumination distribution indicated in Figure intersection interval iterated integral kp sin 9 located longitude main lobe main-lobe axis directed main-lobe footprint corresponding modified false position normalized far-field amplitude Note plane prescribed Radiation Patterns raised cosine rectangular aperture antenna relative power density representative contour points representative points right-handed system root side lobes sin(k a spherical earth uniform phase unit vectors wavelengths z-axis