Astrophotography by Anthony Ayiomamitis

Differential Photometry - TrES-1 in Lyra

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 275 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 TrES-1b in Lyra depicted below is one of the latest transitting exoplanets, having being discovered in 2004 and which represents the first discovery of the Trans-Atlantic Exoplanet Survey team. It is characterized with a density slightly less than that of Jupiter owing to a mass equivalent to 0.75 Jovian masses and a radius equivalent to 1.08 Jovian radii. TrES-1b has an orbital period of just under 73 hours and requires 150.0 minutes to transit its parent star at a depth of 2.30%. The parent star, GSC 3549:2811, is estimated to have a mass of 0.88 solar masses, a radius equivalent to 0.85 solar radii and a temperature of 5,250° K. Further details regarding TrES-1 and TrES-1b are available in the paper published by the discovery team led by Alonso et al (click here).

Note: The C- and K-stars used for the purposes of the differential photometry measurements depicted below were GSC 2652:152 (mag 11.3) and GSC 2652:977 (mag 11.4) respectively.

Image Details
Light Curve for Exoplanet TrES-1b
Imaging Details
Parent Star:
TrES-1

GSC/SAO Catalog:
GSC 2652:1324

Constellation:
Lyra

RA / Dec:
19h 04m 09.8s /
+36° 37' 57"


Magnitude:
11.79

Distance:
512 light-years
Exoplanet:
TrES-1 b

Period:
3.030065 + 0.000008 d

Transit Duration:
150.249601 mins

Transit Depth:
23.0 mmag

Minimum Mass:
0.61 MJup

Radius:
1.081 RJup

Pred Transit Details:
Ingress :  20:09 UT
Mid-trans :  21:24 UT
Egress :  22:39 UT

Moon :  06-days old
Date:
July 08-09, 2008
22:50 - 02:20 UT+3


Location:
Athens, Greece

Equipment:
AP 160 f/7.5 Starfire EDF
AP 1200GTO GEM
SBIG ST-2000XM
SBIG CFW-10
SBIG LRGB + IR-block


Integrations:
Lum :  325 x 35 sec
Dark :  015 x 35 sec
Flat :  ~19,700 ADU
Binning :  2x2

Temperatures:
Ambient : + 30.3 ° C
CCD Chip : - 02.5 ° C

Software:
CCDSoft V5.00.188
AIP4Win V2.2


Processing:
Reduction
Differential Photometry