Abstract
Once again, we shall change our point of view! From an arbitrary point P on the Earth, we now note the time and angular conditions of our view of the satellite S. This is the opposite problem to determining the ground track of the swath: we must now establish the satellite sampling for a given instrument. We shall also determine, for this point P, the direction of the Sun at the instant of time when P is viewed by the satellite.
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- 1.
As the swath plane \(\mathcal{F}\) is oriented, ζ can take positive or negative values. Indeed, ζ varies in the interval \([-\pi /2, +\pi /2]\). Insofar as the azimuth angle χ is well defined (see below) throughout the whole plane, it would suffice to define ζ in the interval \([0, +\pi /2]\). However, this redundancy allows one to say whether the satellite is in the ascending or descending stretch of the orbit. One then assigns the sign of ζ to f and α.
- 2.
This adjective, borrowed from Middle French, comes from the Latin specularis, adjective derived from speculum, meaning “mirror”. This word is itself derived from the verb specere, meaning “to look” (spectacle), which is associated with the Indo-European root *spek, “to observe”. The word spy also derives from this root.
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© 2014 Springer International Publishing Switzerland
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Capderou, M. (2014). Spatiotemporal and Angular Sampling. In: Handbook of Satellite Orbits. Springer, Cham. https://doi.org/10.1007/978-3-319-03416-4_13
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DOI: https://doi.org/10.1007/978-3-319-03416-4_13
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