Many thanks, a rigorous lagrangian approach using the new Maxima code is by far the best for this problem, using a sum of rotational and translational kinetic energies and the gravitational potential energy. There are five Euler Lagrange equations in five Lagrange variables, the three Euler angles of the (1,2,3) frame of the earth, and the plane polar coordinates (r, theta) of the orbit of the earth about the sun. I will write it out shortly. So the lagrangian is:

Lagrangian = T(translational) + T(rotational) – U

To: EMyrone@aol.com

Sent: 02/02/2017 18:43:46 GMT Standard Time

Subj: Re: Final version of Note 369(4)

This is an example of an introduction to milankovitch cycles (there are a lot on the internet):

http://ossfoundation.us/projects/environment/global-warming/milankovitch-cycles

Needless-to-say, the first rigorously correct solutions you are reporting on now will be important in describing natural climate cycles – a field in itself. It is generally believed that we are currently in part of a cooling cycle.

This is a good example of how the new physics applies, and may have significant consequences, in many fields of science.

Sent from my Samsung device

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