- #1
NoobixCube
- 155
- 0
Hi all,
At the moment I am trying to find a best fit equation to radial velocity data vs. time of a planet HD17156b. The paper with the Authors fit parameters (I am trying to mimic the fit) has the arXiv ref number of :0704.1191v2
From this paper I extract their data, which is on the final few pages and take note of their fit parameters.
I use the relevant equations to make a continuous curve using there fit parameters. They say in the paper they achieve a fit with a normalised Chi squared value = 1.17
When I plot the data, and the continuous curve I note that the fit is definitely not close to 1. I believe this is because of the nature of the equations used are highly non-linear and the error in their fit parameters are throwing off the continuous curve.
When I try to find a best fit using the Newton-Raphson method in conjunction with the Levenberg-Marquardt Algorithm I use their best fit parameters as my initial starting point. Assuming surely this would find a good fit to the data. But I achieve a horrible fit. Anybody have any ideas that could help me achieve a better fit similar to the original Authors fit?
Below is a plot of the original Data and the Authors best fit parameters leading to the continuous curve on the plot.
At the moment I am trying to find a best fit equation to radial velocity data vs. time of a planet HD17156b. The paper with the Authors fit parameters (I am trying to mimic the fit) has the arXiv ref number of :0704.1191v2
From this paper I extract their data, which is on the final few pages and take note of their fit parameters.
I use the relevant equations to make a continuous curve using there fit parameters. They say in the paper they achieve a fit with a normalised Chi squared value = 1.17
When I plot the data, and the continuous curve I note that the fit is definitely not close to 1. I believe this is because of the nature of the equations used are highly non-linear and the error in their fit parameters are throwing off the continuous curve.
When I try to find a best fit using the Newton-Raphson method in conjunction with the Levenberg-Marquardt Algorithm I use their best fit parameters as my initial starting point. Assuming surely this would find a good fit to the data. But I achieve a horrible fit. Anybody have any ideas that could help me achieve a better fit similar to the original Authors fit?
Below is a plot of the original Data and the Authors best fit parameters leading to the continuous curve on the plot.