The Theory of Society  by Wayne M. Angel, Ph.D.

Relation Dynamics: Inertia, Momentum and Force
















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The Theory of Society
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  Relation Dynamics

    Introduction
    Entity Abstraction Model
    The Relation Coordinate System
    Inertia, Momentum and Force
    Relation Distance and Interaction
    Work and Conservation of Energy
    Constraints
    Lagrange's Equations
    The Hamiltonian
    Physical Interpretation

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The k th behavior component of the relation momentum of entity n with entity j is defined as

                                                                     (3.5)

where

 is the relation inertia, and

            is the reciprocal of entity's interdependence to entity labeled n.

Since

                                                                    (3.6)

I define the k behavior component of the relation force that entity n exerts on entity j to be

                                                                          
or                                                                                      
                                                       (3.7)

I will have need of this last equation in a different form.

                                             (3.8)

                                             (3.9)

                                        (3.10)

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