Some aspects of KIC 8462852
The DataLet's start with the data. Kepler measured the intensity of the light of KIC 8462852, some call it Boyajian's Star, over a period of four years. during that period depending on the counting, 16 significant dimming events have happened.
|Fig 1.: Dip 1 d140 with a triangular shape |
|Fig 2: Dip 1 d140 including some manually drawn trend lines|
Imagine, if this would be the only dip we ever have seen from KIC 8462, we would not have any simple natural explanation. A simple solution (figure 3) is something in the orbit with a long triangular shape, entering the line of sight, causing the continuous first dimming. Then another, wider diamond shape enters the theater, till the maximum of the dip. After six hours, the end of the wide diamond shape starts to leave the line of sight, at day 142 a slim triangular object also starts to leave the line of sight.
|Fig. 3: Shape of an object that could result in the dip 1. The painting is only qualitative, precise calculations, including the surface brightness of a star, could result in exact shape size. An exercise is given to the reader.|
|Fig 4: Dip 2 d216 |
|Fig 5: Dip 2 with manual approximation of the dip shape|
|Fig 6: Dip 4b d426 |
|Fig 7: Dip 4b with a manual approximation of the dip shape, there seems to be no floor.|
|Fig 8: Dip 4a d359, shows a very complex internal structure |
|Fig 8: Dip 4a with a manual drawing of the shapes, Blackline present linear elements, green lines are splines to fit more or less parabolic looking elements|
|Fig 9: Dip 5, very noisy dip and some artifact from the telescope at the end of the period.|
|Fig 10: Dip 5, a simple linear dimming defined by black lines|
and a possible parabolic type of dimming shown by a green line
|Fig 11: Dip 10 d694, this is a multi-dip event.|
|Fig 12: Dip 7 with manually drawn lines to stress the structure|
The shape and depth of dip 8 are beyond anything we have ever seen. It starts with a continuous declining line, which can be described by a very steep function like Tangent.
|Fig 13: Dip 8 at day 792 is by far the most mysterious dip|
|Fig 14: Dip 8 (red) and a fit (black) for the flux, the green line shows the error of the fit.|
t0 = 909.46 (timescale in plot)
f1 = 0.19247596
growth = 0.18389495
|Fig 15: A object of this shape can produce dip 8, the blue part is following equation 1, only the red points were entered manually.|
The resulting calculated dip line (black) in Fig 14 looks astonishingly similar to the measured flux (red). The error is given as the difference between flux and fit line.