Abstract

The astronomers and the general population are fascinated with the problem of exoplanet detection. By far the largest number of detected planets are the so-called Super Earths, relatively cold planets orbiting a large, red giant star, with diameters up to 1 AU, most of them at about one hundred light-year distance from us. A rotational shearing interferometer (RSI) was proposed for exoplanet detection. Here the detection capabilities of the RSI are expanded to include the case when the interferometer is not precisely aligned on the star. The theoretical analysis is applied to the case of a Super Earth with the red giant star, displaced from the origin to the Mercury, Earth, and the Martian orbit. For errors in alignment up to the Mercury orbit, the red giant star generates a slanted radiance pattern that may be eliminated using information processing. For larger distances, analysis in the Fourier domain is feasible.

Highlights

  • The astronomers and the general population have been focusing on exoplanet detec‐

  • A large star misalignment corresponds to a star center location that is larger than the radius of the Martian orbit

  • The theory of the detection of an extra-solar planet using a rotational shearing interferometer has been expanded to the case when this instrument is not precisely aligned on the star

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Summary

January

Note: regard to jurisdictional claims in tralwith with regard to jurisdictional published maps and institutional claims in published maps and institu‐affiliations. Due to the use of instruments that the researchers employ, most of the reported exoplanets orbit red giant stars that would have gobbled up an Earth-like planet during the star evolution. These planets are far away so there is little possibility that humanity could develop any realistic plans to colonize them. The overwhelming majority of planets have been discovered by indirect techniques, among them transit light curves, radial velocity, and gravitational microlensing [2–26] These techniques sense the effect of the planet on the star-emitted radiation. An emission variability may be produced by similar processes or yet unknown phenomena in and around a distant star

Materials and Methods
Interference
Experimental results are
Experimentally
Theory
Incidance Function
Wavelength or Spatial Period of the Interference Pattern for the Star and Planet
Rotation of the Planet about the Star for Large Star Displacements from the Origin
Simulation Results
Summary
Full Text
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