- #1

kmarinas86

- 979

- 1

Consider a two body gravitating system:

The gravitational potential energy for [itex]m_1[/itex] is:

[itex]Gm_1 m_2/r[/itex]

The gravitational potential energy for [itex]m_2[/itex] is:

[itex]Gm_2 m_1/r[/itex]

So each of their gravitational potential energies are the same.

Therefore, wouldn't the total energy of gravitational waves emitted be twice the change of gravitational potential energy per object as they approach each other?

This would make:

[itex]Energy\ of\ Gravitational\ Waves = \Delta 2Gm_2 m_1/r[/itex]

Am I right?

The gravitational potential energy for [itex]m_1[/itex] is:

[itex]Gm_1 m_2/r[/itex]

The gravitational potential energy for [itex]m_2[/itex] is:

[itex]Gm_2 m_1/r[/itex]

So each of their gravitational potential energies are the same.

Therefore, wouldn't the total energy of gravitational waves emitted be twice the change of gravitational potential energy per object as they approach each other?

This would make:

[itex]Energy\ of\ Gravitational\ Waves = \Delta 2Gm_2 m_1/r[/itex]

Am I right?

Last edited: