Radial Velocity Pblm:

(A) Use the Terzian-Herter radial velocity calculator from Cornell U. linked here

(http://www.astro.cornell.edu/academics/courses/astro1101/java/binary/binary.htm) f

or this problem.

Your job: EXPLORE PARAMETER SPACE TO FIND OUT HOW RADIAL VELOCITY VARIES WITH

VARIOUS PARAMETERS.

TEST OUT A GRID OF VALUES FOR EACH PARAMETER.

VARY THE PARAMETERS ONE BY ONE, SYSTEMATICALLY FROM LOW TO HIGH VALUES.

START WITH THE DEFAULT VALUES AND EXPLORE THE POSSIBILITIES.

THEN, REPORT ON THE EFFECTS ON THE RADIAL VELOCITY CURVE. Use 5 system parameters:

1) mass ratio (default: 1:1)

2) semi-major axis a (default: 1 AU)

3) eccentricity e (default: e=0)

4) inclination i (default: i=90 deg)

5) angle to line of apsides w (default: w=0)

Observe these characteristics of radial velocity curve:

a) maximum radial velocity v_r

b) ratio of v_{r,1}/v_{r,2}

c) period P

d) RELATIVE FWHM (to period) of maximum, minimum v_r (as a function of time and as a

fraction of total period) for a given star. If you do not know the concept of FWHM well, ask me.

e) symmetry of v_r curve at maximum (for v_r>0); then consider separately the symmetry

around minimum v_r (for v_r<0) for a given star

f) time from v_{r,max} to v_{r,min} compared to v_{r,min} to v_{r,max} for a given star

g) does v_{r,max}=-v_{r,min} for a given star?

How does each system parameter affect each observable? Some system parameters will affect

more observables than others. Examine the radial velocity curves in a "grid", varying the

parameters systematically.

Make 7x5 table for presentation, so each parameter-observable combination has some

description.

Be sure to test the elliptical case (e>0) as well as the circular case (e=0) whenever you can!

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Status NEW Posted 23 May 2017 05:05 AM My Price 12.00

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