Free Access
Table 1
Parameters used in modeling.
| Symbol | Quantity |
|---|---|
| t | Time |
tk,  |
Time of lunar, planetary eclipse |
| T | Observation duration |
| L | Distance to the observer on Earth |
| S | Star radius |
| α | Binary inclination angle, w.r.t. orbital plane |
| s1, s2 | Planet, moon radius |
| a1, a2 | Planet, moon albedo |
| R1, R2 | Planet, moon position vector |
 |
Binary c.m.-position vector |
 |
Reduced position vector |
 |
Arbitrary planet surface vector |
| θ | Azimuth angle |
| z | Vertical coordinate w.r.t. planet center |
| l | Vertical displacement of shadow center |
| v | Shadow velocity |
| τ(l) | Eclipse duration |
| ϒ(l) | Eclipse magnitude |
| ν | Continuous frequency variable |
| ω | Barycenter angular frequency, mean motion |
| ϑ = ωt | Barycenter phase angle, mean anomaly |
| Ω | Lunar orbital frequency |
| φ = Ωt | Lunar phase |
 |
Observation direction |
| θo | Observation inclination, polar angle |
| ϕo | Phase at inferior conjunction, azimuth |
| I(t) | Variable star luminosity |
| IT(ν) | Fourier transform of star luminosity |
| I0 | Average star luminosity |
| F(t) | Observed reflection signal |
| FT(ν) | Fourier transform of reflection signal |
| f(t) = f(ϑ, φ) | Total reflected light curve |
 |
Fourier coefficient of light curve |
| g(ϑ) | Time-integrated dip for lunar eclipse |
| gn | Fourier coefficient of g |
| h(ϑ) | Single-planet phase light curve |
| hn | Fourier coefficient of h |
| i, j, k, | Basis vectors for orbital plane |
 ,  ,  |
Basis vectors for lunar plane |
| N = ωT∕2π | Number of orbits |
| k | Eclipse index number |
| n, m | Integer indices |
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.