Hi everyone,(adsbygoogle = window.adsbygoogle || []).push({});

I would like to know if the energy of each body of a two body gravitationnal problem is separately conserved. I know that the individual angular momentum are separately conserved and that the TOTAL energy of the two bodies is conserved. However, I don't know if there could be energy transfer between the two bodies or if it's forbidden by symmetry considerations.

In my mechanics textbook, the two-body central force problem is only treated as a one-dimensional problem of the motion of a reduced mass in an effective potential, where only the energy of a reduced mass orbiting around the center of mass is considered. This confuses me when I try to think of the energy of ONE of the two bodies. Is the energy of ONE of the two bodies conserved? Is there a way to see this?

Thank you a lot for considering my request. Best regards,

Kami

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Is the energy conserved FOR EACH BODY in a two-body central force problem?

**Physics Forums | Science Articles, Homework Help, Discussion**