# Thread: Could you help to calculate precession of the Mercury in a new way?

1. ## Could you help to calculate precession of the Mercury in a new way?

As you know Mercury orbits with precession: http://physics.ucr.edu/~wudka/Physics7/Notes_www/node98.html

Could you help to calculate precession of the Mercury in this new way?
See picture:
http://www.part.lt/img/f628e573d6f02...10de240722.png

Lets use Newton's law for gravitational attraction.

But lets assume that inertial mass m is changing due motion and due gravitation by equation

m = m0 / sqrt( 1-(z/c)^2 )

where
m0 – rest mass of the Mercury ( which is used to calculate gravitational force and kinetic mass )
m – kinetic mass of Mercury ( which is used to calculate momentum )

For z lets consider two possible versions:
version 1
z = | v + v_escape |
and version 2
z = 2*| v + v_escape |*| v - v_escape | / ( | v + v_escape | + | vv_escape | )

where v and v_escape are vectors
v - real velocity of the Mercury
v_escape - escape from the Sun velocity (at the location of the Mercury)
v_escape vector points straight away from the Sun.

Now you can use Newton gravitation law with rest mass m0
and kinetic mass m could be used to calculate momentum of the Mercury.

Could you help to calculate precession by using mentioned assumptions?
Thank you.

2. ## Re: Could you help to calculate precession of the Mercury in a new way?

I have made some corrections to acceleration formula
http://www.part.lt/img/562af2c949145...8bca6b6221.png