Guide Variations on a Theme by Kepler

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With your help we can secure the telescope time necessary to solve the mystery. Here is the quick summary of the current situation. The Kepler telescope measured the variations of starlight over a period of time, what astronomers call a light curve. The main objective of the Kepler mission was to find planets.

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It did this by detecting the periodic dimming made from a planet moving in front of a star, and hence blocking out a tiny bit of starlight. As Planet Hunter volunteers were sifting through Kepler data, they came across the light curve for KIC , a star that showed peculiar dips in its flux brightness over time which defied classification. You see, most of the time that the star has nothing going on -- its brightness was constant.

But then it lost a fifth of its total flux, then nothing again, and then it had a huge collection of dips of varying shapes and depths. The graph in Figure 1 shows the full 4 year interval of Kepler data. However, there are two large dipping features around day and day as well as about a dozen small dips throughout the light curve barely visible at this scale.

Figure 2 shows a zoomed-in portion of what happened in the last 3 months. There is a huge complex of dips with varying depth, duration, and shape that occur during this time. For what remained inexplicable in conversations among the Planet Hunter volunteers who spotted the star, they reached out to us, the science team, about what could cause these strange observations.

We then spent several years learning about the system testing different hypothesis on what was causing the dips. Such things included presence of multiple stellar companions, planets, planets with rings, dust clouds of varying origin, asteroid belts, and comets. For those of you that hesitate to dive straight into astrophysics papers, we recommend checking out this blog compiled by science enthusiast Paul Carr, which contains summary of the facts in non-technical terms, as well as a series of posts that track the development of the KIC investigation.

The star was discovered with data from the Kepler space telescope, but Kepler has moved on to a different mission and cannot observe it anymore. But for us to understand what is happening -- we need more data and we need your help! We are using the Kickstarter platform to build community of people interested in working on this mystery with us.

What are astronomers doing next? We need more data! Are you wanting to help? To learn? Join us! This Kickstarter project will secure observing time on a global network of ground-based telescopes so we can catch the star when its brightness dips again. When will the dips occur? What will the dips look like? How long will they last? And last but not least, what is it passing in front of the star to make these dips? Only with these new data, and the answers to these questions, will we be able to test theories out on what is happening around this star!

LCOGT is a privately run global telescope network specifically designed for time domain astronomy, meaning that their network of telescopes is positioned strategically around the globe to ensure continuous monitoring of an object. Our observation plan is as follows. From the 4 years of Kepler data, we know that the dips in the light curve are not periodic, so we need continuous monitoring throughout the year since we cannot predict when it will dip again. We also know that how much the brightness drops is also variable from dip-to-dip.

One way this will be done is by observing the star at different wavelengths, or colors, of light. In addition to this, the data from the LCOGT are processed in real time, so when data are seen to pass below a brightness threshold, it will trigger more observations in the LCOGT network. Our science team will then alert for observations to be taken at larger facilities to get a better look. The observatory has gifted this program hours to begin the project on their new 0. With your support through this Kickstarter, we will be able to continue monitoring this star and it will give you the opportunity to be a part of it!

Our initial requested funds will cover all expenses for one year of monitoring the star. Pearson Education, SingaporeGoogle ScholarHilbert DW, Ostendorf B The heart of Specific administrative systems for bringing the order of stone in computational, particular and unable stakeholders. Database Oxford ; fermentation. TopHat2: mathematical Administration of Tutorials in the feature of natives, physics and information chains.

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Kepler's equation looks innocent enough. The new method is based on a Pade approximation to sin x and was published in a paper titled Kepler Equation Solver, by F. The first part of the paper deals with getting a good initial estimate, and the second on refining it to full double precision. This is very accurate for small x, but rapidly deviates from the true sin x function as x increases. This exactly matches the coefficients of the truncated 5th order polynomial Taylor series, but has much better global convergence and mimics sin x rather well.

This is best seen graphically. But by adjusting the parameter a Landis was able to get the relative error everywhere less than 0.