MAGIC pulsar workshop, Padova, Feb 2010

Pulsar Timing Analysis MAGIC pulsar workshop, Padova, Feb 2010

/hadron separation (I) Different kind primary particles  different showers  different images /hadron separation based on image parameter distributions -images are smaller and point to camera center Hadron showers are broader are randomly oriented MAGIC pulsar workshop, Padova, Feb 2010

/hadron separation (II) After applying /hadron cuts based on image shape, exploit shower direction MAGIC pulsar workshop, Padova, Feb 2010

Timing analysis Goal: Find the periodic signal of the pulsar, hidden in the arrival times of the atmospheric showers The timing analysis involves 4 steps: Barycenter correction Obtain the Light curve Application of Uniformity test Upper limits calculation All these steps have been implemented in a dedicated software, for the pulsar Analysis in MAGIC MAGIC pulsar workshop, Padova, Feb 2010

Timing analysis (I) Barycenter correction Remove the effect of the earth movement on the arrival times tUTC. Transform the measured arrival times to the Solar System Barycenter: Total Barycenter correction MAGIC pulsar workshop, Padova, Feb 2010

Timing analysis (II) Ligth curve If F is the known rotational frequency of the pulsar at time T0, the number of revolutions in dt=t-T0 is: Integrating, and taking the fractional part, we get the rotational phase : where t is the barycenter time Taylor MAGIC pulsar workshop, Padova, Feb 2010

Timing analysis (III) Crab is “glitching” once every 3-6 years ! Ephemeris are usually taken from radio observations but affected by irregularities in pulsar rotation: Timing noise Glitches Crab pulsar Crab is “glitching” once every 3-6 years ! Need to have contemporaneous ephemeris We use monthly ephemeris by Jodrell Bank MAGIC pulsar workshop, Padova, Feb 2010

Timing analysis (III) Uniformity tests If no periodicity  events will be uniformly distributed ² - test Applied to k-bins histograms Powerful test for narrow pulses Probability follows a 2 of k-1 d.o.f Zm2-test Independent of k Based on trigonometric moments of pulse profile m=number of harmonics Sensitive to narrower pulses as m increases H test Find optimal m Powerful against a large variety of light curves MAGIC pulsar workshop, Padova, Feb 2010

MAGIC Timing Analysis Toolkit Developed a full pulsar analysis toolkit for MAGIC You can do all you need, both for optical & gamma-ray data Input files can be ascii, raw or root files: Extract Central Pixel signal Do barycenter correction Search best ephemeris for each arrival time Calc pulsar phase & create light curves Apply periodicity tests And moreover.. Apply cuts Calc. collection areas Calc. upper limits Calc. spectrum MAGIC pulsar workshop, Padova, Feb 2010

MAGIC Timing Analysis Toolkit Code at MARS/mtemp/mucm/mpulsar More that 30000 lines of code Manual at: MARS/mtemp/mucm/mpulsar/docmpulsar.pdf MAGIC pulsar workshop, Padova, Feb 2010

MAGIC Timing Analysis Toolkit How to compile it Compile the classes adding the following lines to the Makefile: SUBDIRS = manalysis \ mastro \ … mtemp/mucm/classes \
mtemp/mucm/pulsar Compile the SearchPeriod program PROGRAMS = callisto celestina … SearchPeriod MAGIC pulsar workshop, Padova, Feb 2010

MAGIC Timing Analysis Toolkit Main Classes MAGIC pulsar workshop, Padova, Feb 2010

MAGIC Timing Analysis Toolkit How to use it You can use the classes writing your our macro. E.g.: mtemp/mucm/mpulsar/macros Or using the compiled program SearchPeriod (similar to callisto,..) It has a basic GUI (search.tcl) MAGIC pulsar workshop, Padova, Feb 2010

MAGIC Timing Analysis Toolkit Tests Toolkit tested on: Crab optical signal EGRET data XMM data Results checked against TEMPO MAGIC pulsar workshop, Padova, Feb 2010