# Research

• I derived the Lane-Emden equation and considered $n=1$ case for the test. I’ll upload the derivation of the Lane-Emden equation during the weekend. Also, I think I can upload the solution to the problem 10-16 in Carroll & Ostlie’s Modern Astrophysics book.
• With the understanding of the Lane-Emden equation, I tried to verify my TOV solver. I looked like to yield a similar result with the analytic solution of the Lane-Emden equation, but I need to calculate the pressure profile.