# starry: Analytic Occultation Light Curves

@article{Luger2019starryAO, title={starry: Analytic Occultation Light Curves}, author={Rodrigo Luger and Eric Agol and Daniel Foreman-Mackey and David P. Fleming and Jacob Lustig-Yaeger and Russell Deitrick}, journal={The Astronomical Journal}, year={2019}, volume={157}, pages={64} }

We derive analytic, closed form, numerically stable solutions for the total flux received from a spherical planet, moon or star during an occultation if the specific intensity map of the body is expressed as a sum of spherical harmonics. Our expressions are valid to arbitrary degree and may be computed recursively for speed. The formalism we develop here applies to the computation of stellar transit light curves, planetary secondary eclipse light curves, and planet-planet/planet-moon… Expand

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#### References

SHOWING 1-10 OF 52 REFERENCES

Analytic reflected light curves for exoplanets

- Physics
- 2018

The disk-integrated reflected brightness of an exoplanet changes as a function of time due to orbital and rotational motion coupled with an inhomogeneous albedo map. We have previously derived… Expand

Light curves of stars and exoplanets: estimating inclination, obliquity and albedo

- Physics
- 2013

[Abridged] Distant stars and planets will remain spatially unresolved for the foreseeable future. It is nonetheless possible to infer aspects of their brightness markings and viewing geometries by… Expand

Analytic Light Curves for Planetary Transit Searches

- Physics
- 2002

We present exact analytic formulae for the eclipse of a star described by quadratic or nonlinear limb darkening. In the limit that the planet radius is less than a tenth of the stellar radius, we… Expand

ANALYTIC LIGHTCURVES FOR PLANETARY TRANSIT SEARCHES

- 2002

We present exact analytic formulae for the eclipse of a star described by quadratic or nonlinear limb darkening. In the limit that the planet radius is less than a tenth of the stellar radius, we… Expand

Equations for the analysis of the light curves of extra-solar planetary transits

- Physics
- 2006

Easy to use analytical formulae are presented for the computation the of light curves of extra-solar planetary transits. The equations are a function of the fractional radii of the planet and the… Expand

Reassessing Exoplanet Light Curves with a Thermal Model

- Physics
- 2018

We present a uniform assessment of existing near-infrared Spitzer Space Telescope observations of planet-bearing stars. Using a simple four-parameter blackbody thermal model, we analyze stars for… Expand

Inverting Phase Functions to Map Exoplanets

- Physics
- 2008

We describe how to generate a longitudinal brightness map for a tidally locked exoplanet from its phase function light curve. We operate under a number of simplifying assumptions, neglecting limb… Expand

Resolving the Surfaces of Extrasolar Planets with Secondary Eclipse Light Curves

- Physics
- 2006

We present a method that employs the secondary eclipse light curves of transiting extrasolar planets to probe the spatial variation of their thermal emission. This technique permits an observer to… Expand

CONSTRUCTION OF AN EARTH MODEL: ANALYSIS OF EXOPLANET LIGHT CURVES AND MAPPING THE NEXT EARTH WITH THE NEW WORLDS OBSERVER

- Physics
- 2009

The orbital light curve of a terrestrial exoplanet will likely contain valuable information about the surface and atmospheric features of the planet, both in its overall shape and hourly variations.… Expand

GLOBAL MAPPING OF EARTH-LIKE EXOPLANETS FROM SCATTERED LIGHT CURVES

- Physics
- 2010

Scattered lights from terrestrial exoplanets provide valuable information about their planetary surface. Applying the surface reconstruction method proposed by Fujii et al. to both diurnal and annual… Expand