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The Transiting Planet

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The Transits of Extrasolar Planets with Moons

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Abstract

The first step in understanding the transit light curve is to define the appropriate coordinate system. In defining the so-called orbital elements, a Cartesian coordinate system is usually adopted. I begin with the simplest reference frame possible, where the planet orbits the star in the \(\hat{x}\)–\(\hat{y}\) plane with the star at one focus, defined to be the origin, as shown in Fig.  3.1. By working in the rest frame of the star, the reflex motion is inherently accounted for by the model.

From immemorial antiquity, men have dreamed of a royal road to success-leading directly and easily to some goal that could be reached otherwise only be long approaches and with weary toil. Times beyond number, this dream has proved to be a delusion... Nevertheless, there are ways of approach to unknown territory which lead surprisingly far, and repay their followers richly. There is probably no better example of this than eclipses of heavenly bodies Henry Norris Russell, 1946

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Notes

  1. 1.

    The subscripts “P” and “*” in \(S_{P*}'\) are commutative

  2. 2.

    Some of the subscripts present in the notation employed at this stage of the thesis may seem superfluous, but once moons and occultations are introduced, the value of these subscripts will become apparent

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  1. Rm. P-348, Center for Astrophysics, Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA, 02138, USA

    David M. Kipping

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Kipping, D.M. (2011). The Transiting Planet. In: The Transits of Extrasolar Planets with Moons. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22269-6_3

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  • DOI: https://doi.org/10.1007/978-3-642-22269-6_3

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