by Ben6993 » Mon Jun 27, 2016 3:09 am
I need to make a correction to my previous post in which I referred to the eight terms in eqn 2.10 as:
'mass', KE, grav, KE, grav, KE, grav and KE in sequence.
The third term is Coulomb PE, not gravitational PE.
This led me to being interested in the ordering of effects, and wondering if orders were important.
So in total we really have the following partitions of my venn diagram crossed effects:
'Mass', M (= Gravitation), V, Q, VQ, QV, MV, VM, QM, MQ, MVQ, MQV, QVM,QMV, VQM, VMQ
I looked first at the VMQ etc. where all three main effects are interacting.
Eqn 2.10 presents this term as a KE term: "the kinetic energy of the gravitational energy of the Coulomb energy".
Well, that is fine as it is 0.5 m' vv where m'= {GMkQq/rrcc}/cc.
But I then thought of the gravitational energy of the kinetic energy of the coulomb energy = MVQ, which is a PE.
This is also fine and gives the same expression: [GM/r]*[{kQqvv/2ccr}/cc]
Which then led me to QVM, which is a silly expression as q is always constant. [I didn't really follow earlier discussions on this website wrt varability of q.]
QVM = [kQ/r]*[new expression for q based on the kinetic energy of the gravitational energy]
and if this needs to lead to the same expression as for VMQ and MVQ then the 'new expression for q would be q' = qGMvv/2ccccr
As V is not a physical entity on the same basis as M and Q, then V should never appear last in an expression so, for example, MQV and QMV are not applicable. The remaining terms are:
'Mass', M (= Gravitation), V, Q, VQ, VM, QM, MQ, MVQ, QVM, VQM, VMQ
Next is VQM, the KE of the coulomb PE of the gravitational mass:
this is 0.5 [new expression for mass derived from QM]*vv.
I don't have an expression for QM so I will stop there. (There is an expression though for MQ which is term 7.)
Does MQ need to be the same expression as for QM?
If so then GMkQq/ccrr needs to equal [kQ/r]*[new expression for q]
and if so, then QM=[kQ/r]*[qGM/ccr] = coulomb PE of the gravitational PE; where q' = new expression for q = qGM/ccr
Sorry about all this. I was just trying to look for completeness of terms wrt my venn diagram.
I need to make a correction to my previous post in which I referred to the eight terms in eqn 2.10 as:
'mass', KE, grav, KE, grav, KE, grav and KE in sequence.
The third term is Coulomb PE, not gravitational PE.
This led me to being interested in the ordering of effects, and wondering if orders were important.
So in total we really have the following partitions of my venn diagram crossed effects:
'Mass', M (= Gravitation), V, Q, VQ, QV, MV, VM, QM, MQ, MVQ, MQV, QVM,QMV, VQM, VMQ
I looked first at the VMQ etc. where all three main effects are interacting.
Eqn 2.10 presents this term as a KE term: "the kinetic energy of the gravitational energy of the Coulomb energy".
Well, that is fine as it is 0.5 m' vv where m'= {GMkQq/rrcc}/cc.
But I then thought of the gravitational energy of the kinetic energy of the coulomb energy = MVQ, which is a PE.
This is also fine and gives the same expression: [GM/r]*[{kQqvv/2ccr}/cc]
Which then led me to QVM, which is a silly expression as q is always constant. [I didn't really follow earlier discussions on this website wrt varability of q.]
QVM = [kQ/r]*[new expression for q based on the kinetic energy of the gravitational energy]
and if this needs to lead to the same expression as for VMQ and MVQ then the 'new expression for q would be q' = qGMvv/2ccccr
As V is not a physical entity on the same basis as M and Q, then V should never appear last in an expression so, for example, MQV and QMV are not applicable. The remaining terms are:
'Mass', M (= Gravitation), V, Q, VQ, VM, QM, MQ, MVQ, QVM, VQM, VMQ
Next is VQM, the KE of the coulomb PE of the gravitational mass:
this is 0.5 [new expression for mass derived from QM]*vv.
I don't have an expression for QM so I will stop there. (There is an expression though for MQ which is term 7.)
Does MQ need to be the same expression as for QM?
If so then GMkQq/ccrr needs to equal [kQ/r]*[new expression for q]
and if so, then QM=[kQ/r]*[qGM/ccr] = coulomb PE of the gravitational PE; where q' = new expression for q = qGM/ccr
Sorry about all this. I was just trying to look for completeness of terms wrt my venn diagram.