Photogravitational force might be deduced as follows.

F = \phi_1 (T_{s1} T_{s2}/r_{12})^4

where phi is photogravitaional constant and Ts is surface temperature of astronomic object.

The difference between surface temperature and core temperature is also important for near field gravity. with lattitude, it increases resulting in value between 9.78 and 9.82 m/s^2 To take care of differntial effect, It can be modified as follows.

F = \phi_2 (\nabla T_{s1} \nabla T_{s2}/r_{12})^4

F = \phi_2  m_{p1} m_{p2} /r_{12}^4

where m_{p1}= m_{i1} \nabla T_{s1}/\nabla T_0 and  m_{p2}= m_{i2} \nabla T_{s2}/\nabla T_0

We want to match centrifugal and centripetal force,

F = m_{i2} r_{12} \omega^2= \phi_2  m_{p1} m_{p2} /r_{12}^4

We have derived the inverse biquadrate counterpart of Kepler 3rd law, \omega^2= \phi_2  m_{p1} (\nabla T_{s2}/\nabla T_0) /r_{12}^5

See alsoEdit

Ad blocker interference detected!

Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.