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Transcript
Computer Modeling the Line of
Sight Column Densities of Polars
Mentor: Dr. Jennifer Cash
Student: Scott Swindell
Outline
●
●
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Description of Polars
– Evolution of stars
– white dwarf and main sequence star
– Cataclysmic Variables
Column Density (CD)
– What do we see in observations of Polars
– Why do we want to model the CD
How do we model the Column Densities
– SPH
– Know the behaviour of the stream
– IDL
●
What's Next
●
Why do we care
●
Acknowledgments
White Dwarf and Main Sequence
Stars
White Dwarf
Main Sequence
When a star that has
exhausted its nuclear fuel
and has stopped all fusion
processes. It then begins to
expand and looses all of its
outer gas until only the
very hot core remains. The
radius of the core is
generally around 1/100th
the radius of the sun.
A star that has entered its
“adult” phase. It is
characterized by its
nuclear fusion. Our
Sun is in its main
sequence phase of life.
Cataclysmic Variables
●
●
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Binary Star made of White
Dwarf and a Main Sequence
Star.
The more massive White Dwarf
gravitationally pulls plasma
from the Main Sequence Star.
The plasma whirlpools around
the White Dwarf in an accretion
disc.
Polars
Polars are a type of CV that has a
strong magnetic field around 100
million times earths magnetic field.
The plasma is not allowed to form
an accretion disc because it follows
the magnetic field lines.
The stream takes a more direct path
toward the white dwarf.
The high speeds of the impacting
particles creates a hot spot
Polars
The accretion stream
•
•
•
•
•
L1 Point: material is pulled off main
sequence star
Coupling Region: Primary force
acting on stream changes from
gravitational to magnetism
Ballistic Stream: material flow is
directed by gravity
L1 Stream : smaller stream that was
coupled at the L1 point and therefore
is under magnetic influence
Hot Spot: Point of impact of the
stream on the white dwarf produces
EUV’s and Soft x-rays
L1
L1 Stream
Balli
stic S
tream
Coupling
Region
Hot
Spot
Why do we care
●
The Magnetic Field
–
●
Polars have one of the most powerful magnetic fields
in the universe
The Plasma Stream
–
This a great chance to study thin plasmas in extreme
magnetic fields
Observations of Polars
The Flux varies dramatically
with time but repeats the
variations making a pattern.
This tells scientists that the
source of flux is being eclipsed
by something.
Observers can usually tell if the
main sequence star is eclipsing
the white dwarf. It is more
difficult to determine when the
stream is eclipsing the source of
radiation.
Observations of Polars
L1 Stream eclipse
Stream Eclipse
Secondary Star Eclipse
Self Eclipse
Modeling Polars
Fortran
Interactive Data Language (IDL)
•Older Language
• High level code
•Designed for fast calculations
• Easier to use than older
languages
•Write, Compile, Run
• GUI tools
Very strict syntax
• Command line interaction
• Ideal for visualization of Data
Modeling Polars
Smooth Particle Hydrodynamics
•
It is difficult to model fluids and gasses.
•
Computer modelers need a method of
representing all the particles without
actually accounting for each atom
•
SPH models groups of particles as one
unit which makes computation much
easier
•
The graph is a 1 dimensional density
verses radius for an individual unit in an
SPH model
Modeling Polars
Dr Cash created Fortran code to model the forces within the stream
This code gives the position density and velocity of each SPH
particle
Internals Structure
Ballistic: The rotational and gravitational forces in the stream
Thermal : The pressure and density gradients
Magnetic: Ions following the magnetic field lines of the white dwarf
Modeling Polars
I wrote IDL code to extract the column densities of the modeled Polar
• Reads in the data from Dr. Cash’s Code
• Finds the axes of the cube
• Rotates the axes for a given line of sight.
• Extracts density information
Modeling Polars
Modeling Polars
Modeling Polars
• What were really interested in is
the column density between us
and the hot spot
• Instead of calculating all the
column densities of the system
we just calculate it for the
position of the white dwarf.
• We do this for many phases
Whats Next
Further refinement of code and data
Compare analysis with observation
Acknowledgments
●
●
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Dr. Jennifer Cash, Dr. Donald Walter, Ms Irene Scott,
Mr. Joe Bartolini, Dr. Payne, Dr. Smith
All Uria students
This work has been supported in part by NASA/MUSPIN (NNG04GD62G)
NASA's Science Mission (NNG04GD62G) and NASA
URC through a
subgrant from Tennessee State University (NCCW0085).