Is the Earth a Stable System in Terms of Its Rotation Around the Sun?

[chwala]

i was just thinking...considering the Earth as a system would we consider the Earth as a stable system?if so can we prove by contradition that it is not unstable...and more so what parameters would we consider in forming the differential equation..its just crazy thinking..

hope i have posted in the right place...to boggle our thinking..is it possible to ascertain asymptotically stability of the earth.

 

[HallsofIvy]

I'm not sure what you mean by "the Earth as a system". Ecologically? Stable rotation? Orbit around the sun?

 

[chwala]

i just thought this up..recall the pendulum is a damped system governed by some differential equations and one can analyze stability when the pendulum is at rest and when its at the top of the arc...considering the Earth as an orbit...this is just my thinking...are there differential equations that may attempt to analyze the same...stability and the like...i know that there is no answer for this just critical thinking...can we consider for e.g that stability is dependent on the number of people on Earth and hence no matter the value of people the Earth remains constant i.e does not sink...maybe there are also other parameters like gravity etc...

 

[D H]

Some ideas that might help with your crazy thinking:

1. Sentences start with a capital letter.
2. Sentences end with one period, not two or three or four or more.
3. There is a space after the period that ends the sentence.

Had you followed these basic courtesies your posts would have been readable. Failing to follow these basic courtesies makes them unreadable. Why should I, or anyone else, try to decipher your posts when you have gone out of your way to make them unreadable?

 

[chwala]

Some ideas that might help with your crazy thinking:

1. Sentences start with a capital letter.
2. Sentences end with one period, not two or three or four or more.
3. There is a space after the period that ends the sentence.

Had you followed these basic courtesies your posts would have been readable. Failing to follow these basic courtesies makes them unreadable. Why should I, or anyone else, try to decipher your posts when you have gone out of your way to make them unreadable?

Thanks for the correction.If we consider the Earth as an orbit around the sun ,can we attempt to analyze its stability in form of differential equations?And if so what initial conditions or boundary conditions are we likely to have?

 

[D H]

What, exactly, do you mean here by 'stability'?

 

[chwala]

What, exactly, do you mean here by 'stability'?

dh,
I stated that this is crazy thinking and i have just been analyzing the stability of the second order o.d.e of the damped pendulum equation.In the same breadth i decided to think out of the box and take the Earth orbit as a system and stability can only be undertaken if a point is picked from any of the Earth surface.I hope it is in order to sometimes think out of the box i was just wondering if we can attempt to find an analysis on a point on the Earth surface and hence deduce stability,moreso Earth is suspended in the universe.Kindly look at the pendulum to have an insight as you reply.Iknow that there is no answer for this argument but a tleast some direction please.

 

[D H]

One more time: What precisely do you mean by "stability"? Stability of what: The Earth's population, its climate, continents, magnetic field, orbit, rotation, or something else? Stability over what time frame: days, years, millennia, millions of years?

Your question is too vague to even begin to answer.

 

[chwala]

It is an open question and i was expecting a debate on the same.My concern was stability in terms of its rotation around the sun.Assuming that the tilt is drifted away from the axis of rotation would we expect some stability or unstability and their corresponding equations?