You're right about the Time period being relevant, but it appears that the main cause of the problem was me trying to be too clever for the question and cut a corner with the centre of mass thing. The truth is that both methods should work, and yours (stemming from my cheating ways) only...
Well... I didn't use any formulae in my estimation really, I just used the fact that the distance traveled = the area under the graph...
if you do it in two halves (triangular and rectangular)
you get height (distance traveled upwards buy flea) = (1/2)*(1/1000 sec)*(125 cm/sec) + ((2.5-1)/1000...
@ppzmis - you seem to have the right answer, which is encouraging, how can you have used the Time "period of wobble" since surely this is caused by the orbiting of the planet around the star, and I'm trying to calculate the speed of the star about the C.O.M of the system?
EDIT - although...
*Please Help* Question related to Orbital speed of star, Keep getting *10^4 to high??
Homework Statement
A star has a mass of 2.2*1030kg, there is a planet of mass 4.5*1027kg orbiting it at a distance of 3.1*1011m (also told that it has a "period of wobble" of 9.2*107s due to the orbiting...