Astrophotography by Anthony Ayiomamitis

Differential Photometry - HAT-P-4 in Bootes

A variable star, as its name suggests, is a star whose magnitude varies intrinsically, in contrast to eclipsing binaries whose magnitude varies as a result of one star in the binary system eclipsing the other. True variables are one of five types, namely Mira stars, semiregular stars, cepheids, eruptive variables and, finally, cataclysmic variables. Minimum to maximum magnitude can range from days to many months with some variables displaying irregular periods.

A popular method for the study of variable stars, particularly short-term variables, is by the use of the technique known as "differential photometry". Rather than measure the (variable) magnitude of a variable star on an absolute scale, measurements are made over time relative to one or more non-variable star(s) and these differences are then plotted so as to study and illustrate the relative or differential change in magnitude. Due to the very large number of variables stars, the field of differential photometry represents one of the key fields in astronomy whereby the amateur astronomer can make a meaningful and long-lasting contribution to both science and astronomy.

More recently, the search for extrasolar planets (over 425 discovered so far) has identified yet another interesting application for the practice of differential photometry whereby the minute drops in magnitude of a star hosting an exoplanet are studied. Further details for the interested party are available here.

Note: The light curve for exoplanet HAT-P-4b in Bootes depicted below is one of the later transitting exoplanets, having being discovered late 2007, and represents the fourth discovery by the Hungarian-based HATNet Project team. HAT-P-4b is characterized with a mass 68% times that of Jupiter and in spite of a larger radius (1.27 RJup), thus making this find a low-density hot Jupiter. HAT-P-4b requires 254 minutes to transit its parent star at a depth of 8 mmag (0.80)%. The parent star, BD+36°2593, is estimated to have a mass of 1.26 solar masses, a radius equivalent to 1.59 solar radii, a temperature of 5,860° K and to lie at a distance of 1011 light-years away with a visual magnitude of 11.21. Further details regarding HAT-P-4 and HAT-P-4b are available in the paper published by the discovery team led by G. Kovacs et al here.

Note: The C- and K-stars used for the purposes of the differential photometry measurements depicted below were GSC 2569:1310 (mag 11.3) and GSC 2569:1092 (mag 11.5) respectively.

Image Details
Light Curve for Exoplanet HAT-P-4b
Imaging Details
Parent Star:
HAT-P-4

GSC/SAO Catalog:
BD+36°2593

Constellation:
Bootes

RA / Dec:
15h 19m 58s /
+36° 14' 37"


Magnitude:
11.21

Distance:
1011 light-years
Exoplanet:
HAT-P-4b

Period:
3.056536 + 0.000057 d

Transit Duration:
254 mins

Transit Depth:
8 mmag

Minimum Mass:
0.68 MJup

Radius:
1.27 RJup

Pred Transit Details:
Ingress :  21:38 UT
Mid-trans :  23:45 UT
Egress :  01:52 UT
Date:
Apr 22-23, 2010
23:30:01 - 05:15:34 UT+3


Location:
Athens, Greece

Equipment:
AP 160 f/7.5 Starfire EDF
AP 1200GTO GEM
SBIG ST-10XME
SBIG CFW10
SBIG Lum filter


Integrations:
Lum :  158 x 120 sec
Dark :  015 x 120 sec
Flat :  ~19,500 ADU
Binning :  2x2

Temperatures:
Ambient : + 14.0 ° C
CCD Chip : - 20.0 ° C

Software:
CCDSoft V5.00.195
AIP4Win V2.2


Processing:
Reduction
Differential Photometry