Monday, December 13, 2010

Super Earths: failed cores of giant planets?

Generally, Super Earths are defined as exoplanets with masses up to earth's mass. It’s good to note that this definition doesn’t tell anything about other physical quantities of the planet like: Chemical composition, orbital properties, planetary radius temperature, etc. Discovery of the first member of this family is as old as discovery of exoplanets but it takes almost 13 more years for finding the next one! The first super earth(s) observed in 1991, two planets orbiting around a pulsar. They have masses about 4 earth's mass. The first Super Earth around main sequence star was observed in 2005 and since then the members of this family rapidly growing in time. Based on data given in “Exoplanet Data Explorer” we know 17 Super Earths today while 13 of these discovered in 2009 and 2010. Figure 1 shows the mass and semi major axis of Super Earths; Colors indicate the date of discovery.
    Planets can be classified in three major categories: gas giants, icy and rocky planets. Planet formation scenarios based on the core-accretion mechanism seek to understand the different origins of these objects.
    Gas giants, made essentially of hydrogen and helium, are formed through a runaway gas accretion phase onto a heavy-element core, which makes them grow quickly to large masses in the Jupiter and Saturn range.[1]
    Alternatively, rocky planets form in the inner regions of the disk as truly terrestrial planets like the ones in our solar system, and are therefore made essentially of silicates and iron. In this case, the timescale for their formation is however much longer than for gas giant cores formed in the outer regions.[1]
    Icy-rocky bodies, on the other hand, might have two different origins. On the one hand, they may form beyond the snow line as failed gas giant cores, accumulating a large amount of ices but failing for some reason (e.g. disk dissipation) to acquire a massive H/He envelope. Subsequent inward migration could then bring them on close-in orbits such as those of the presently-known objects.[1] There is another scenario was claimed by Boss(2006) which shoes that these type of planets also could have been formed by competing mechanism in disk instability, coupled with photo evaporative loss of their gaseous envelopes by an strong source of UV radiation like a hot star.[2] Based on his simulation of these processes around an M dwarf star he concludes that Jupiter-like planets could be formed in the 10 AU and then may migrate inward to form presently observed systems. But this is the case when the parent star located in the low mass star forming region. If the parent star is born in high mass region then it probably will have luminous neighbors in the future. They can evaporate the volatile gasses in the proto-planetary disk while the planets are forming. As stated in the Boss’s paper: “The key factor for whether a gaseous proto-planet becomes a gas giant or an ice giant is the critical orbital radius re outside of which photo evaporation can remove the disk gas and hence the proto-planetary envelope gas.”[2]
    As final part it’s important to note that there is short period Super Earth observed in 2005 (G1876; Rivera et al. 2005). Presence of other two gas giants outside the G1786’s orbit implies that the Super Earth formed interior to the gas giants. Formation of such planets could not be explained in the context of scenarios explained before! 



Sunday, December 5, 2010

Using Microlensing for detecting exoplanets

    In the first section (introduction), the writer tried to give a brief historical review of the theoretical origin of gravitational lensing followed by the history of investigation about this phenomenon near single stars which is called Micro lensing only because of weakness of the effect of a low mass object (single star) on the nearby space-time curvature compared to more massive objects (galaxies or galaxy groups). He also mentioned the early suggestion about using microlensing for detecting planetary companions around stars and then he goes through observational issues like observations which led to first record of microlensing and programs for planet search using this method and the evolution of this method from the beginning until present.
    In the 2nd section (Foundational Concepts and Equations )a brief and simple review of the theory of microlensing is given. I’m not going through it because of lack of space in this one page report.
    Section 3 (Practice of Microlensing) is the main section in this brief report. A microlensing event is defined as apparent relative motion between lens and the source which gives rise to time-variable magnification of the source. Assuming rectilinear motion between the source and the lens we can write apparent angular separation of the source and the lens in the units of Einstein’s radius and time.  The figure below shows magnification as a function of time for a single lens object with.

The measurable quantity is of course not the magnification itself but the photometered flux of the target as a function of time which is given by,
.

The lightcurve of a single lens object can be fit by five parameters and it’s important to note that several of these parameters are highly degenerate. There are four gross observables in the lightcurve . As a result of these degeneracies, when fitting to data it is often useful to employ an alternate parameterization of the single-lens model that is more directly tied to these gross observables, in order to avoid strong covariances between the model parameters. In practice, several different observatories using several different filters typically contribute data to any given observed microlensing event. Since the flux of the source and blend will vary depending on the specific filter, and furthermore different observatories may have different resolutions and thus different amounts of blended light, one must allow for a different source and blend flux for each filter/observatory combination. It’s obvious that the number of observed parameters increases with the number of the independent observations of an event. Using this data set, one can search for finding the best values of fitting parameters . For more details on the method used for finding these parameters, check the original document.
This simple model shows the general behavior of single lens/source event, which can be perturbed by several facts in reality. The most common and interesting anomaly is when the lens is not a single object. With this type of anomaly we can infer the presence of a companion near the lens star and also find basic properties of the companion, like mass ratio and distance. The other sources of perturbation are:
·         Finite source effect
·         Parallax
·         Xallarap
·         Orbital motion
·         Binary sources
For more details of each effect see pages 18 and 19 in the article. 

The next subsection discusses about how to infer the properties of exoplanetary system from the lightcurve. I think summarizing this subsection in this small report could cause some misconceptions for the readers. Interested readers can follow the details in the original text.
Practical aspects of current microlensing searches is reviewed in the last subsection. In section 4 readers can find some interesting features of microlensing methods like:
·         Peak Sensitivity Beyond the Snow Line
·         Sensitivity to Low-mass Planets
·         Sensitivity to Long-Period and Free-Floating Planets
·         Sensitivity to Planets Orbiting a Wide Range of Host Stars
·         Sensitivity to Planets Throughout the Galaxy
·         Sensitivity to Multiple-Planet Systems
·         Sensitivity to Moons of Exoplanets

   The last section of the article gives us some of the recent highlights in this field of research.
In the end look at the pictures below to understand how a planetary companion can disturb the light curve of a normal microlensing event. 
Pictures from OLGE project.Click on the pictures to see the animated version!!!

Look also:

REFERENCES:

  1. The main source of this post is a review article “Exoplanetary Microlensing” written by B. Scott Gaudi (http://arxiv.org/abs/1002.0332v2), published on Feb. 3rd 2010 on “arxiv”. The aim of this paper is to give an introduction to the discovery and characterization of exoplanet with gravitational microlensing.
  2. Planetary Microlensing OGLE 2003-BLG-235/MOA 2003-BLG-53 FIRST DETECTION of an EXTRASOLAR PLANET with MICROLENSING

 

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The goal of creating this blog is to share my experiences during daily works in school with the people who maybe interested in.