A rotating gravitational ellipse , third order ellipse out of a third order equation in JavaScript.

Time in seconds

Angular0Constant AngulariConstant CalculationTerm1 CalculationTerm2

Lconstant

 

xp is the velocity in x direction. xpp is the acceleration in x direction.

xxpxppxpppxpppp

yypyppypppypppp

rrprpprppprpppp

aapappapppapppp

 

radial components

R_term1

R_term2

R_term3

R_term4

R_term5

R_term6

 

angular components

A_term1

A_term2

A_term3

A_term4

A_term5

 

Checking the fault in the calculation

dr_dadr_da_par

dr_da_par_1dr_da_par_2

 

rStore1aStore1

rStore2aStore2

rStore3aStore3

rStore4aStore4

rStore5aStore5

 

rMax

xposypos

xdrawydraw

The inertial frame for rotating gravity ellipses.

Remember relativity was using d(x')/dt = d(x)/dt + Vconstant

Remember relativity was using x' = x + Vconstant t

Triple Infinity : You can make these pictures with the equations.

You can make these pictures with the equations.

Rotating gravity ellipse

Rotating gravitational ellipse

The first order space by time relation

The second order space by time relation

The third order space by time relation

The fourth order space by time relation

 

 

 

Python script for plotting rotating gravitational ellipses

 

 

 

 

Calculation by https://colab_research.google.com/drive/

#--------------------------------------------------------------------------------------

#--------------------------------------------------------------------------------------

If a spring is described by F(x,t) = (c0 + c1⋅t)⋅x and c1<0 and dx/dt = 0 and x>0 is the spring then losing force per second like: d(F(x,t) = c1⋅x ?

-

Is 'force per second' a accurate fundamental concept?

-

The your answer yes to the first question and your answer no to the second answer is a contradiction, so you are having a logical problem . Is this correct?

-

I conclude that , the term 'losing force per second' is an accurate fundamental concept dependening on the context. Is this correct?

-

You are using it, but it should not be used?

-

You are speeking yourself about 'losing force per second in an not accurate way'

and are advising to avoid the text 'losing force per second as a general concept in physics'. Is this correct?

-

#--------------------------------------------------------------------------------------

 

 

Python script for calculating the precession of the aphelion of Mercury rotating gravitational ellipses