another follow up question if I may... !
I have been given data recorded from the Canary islands and from this data a certain frequency for the crab can be calculated - call this the observed frequency.. this will be different from the intrinsic frequency of the crab because of the radial velocity between the observer (at the Canary islands) and the crab...
so from the difference of the observed frequency and intrinsic frequency, I was then able to calculate this radial velocity by using the electromagnetic doppler equation and I found this equal to about 20.4km/s...
now, making the approximation that the crab pulsar lies on the ecliptic (in fact it lies about 1.5 degrees off the ecliptic) and also making the approximation that the only radial velocity contribution is from the orbital motion of the Earth about the sun (ie neglect the Earth's rotational motion), we can say that the maximum radial velocity will be approximately 30km/s - that is the Earth's tangential velocity will be equal to its angular velocity omega multiplies by the radius of the circle of its orbit - so omega=(2*pi)/(365*24*60*60)rads/second and radius=1AU=1.5*10^11meters and so omega*radius is approximately 30km/s...
What I am having trouble doing (and using the approximations I calculated) is figuring out what time of year it must have been such that the radial velocity was equal to about 20.4km/s..
I think that it must be down to the right ascension coordinate.. for the crab RA=05h 34min...
how can I figure out from this RA value and the radial velocity value, what time of year it must have been... ?