For example: In order to predict the position of the planets using Newton's Law, you need for the Sun and each of the planets their masses and initial conditions i.e. position and velocity.
All you need to do is to solve the differential equations that are subject of Newton's Law and with the initial conditions you can predict the position of each of the planets in the future.
I doubt if it is that simple
98, 102, 103, 97, 95, 105, 100, 95, 105, 103, 97, 98, 102 |
Questions:
Maybe this sequence of values sounds rather abstract. A more practicle application is if you consider those values as the distance R between two objects.
98, 102, 103, 97, 95, 105, 100, 95, 105, 103, 97, 98, 102 102, 98, 97, 103, 105, 95, 100, 105, 95, 97, 103, 102, 98 |
In case when those sequences represent the distance to the centre of mass they tell us that the masses of the two objects m1 and m2 are equal
Because, and that is important, the average value of both sequences of measurements is equal.
If any one value would be different than m1 is not equal to m2.
Those measurements are translated in the parameters and intial values of the differential equations used in order to calculate the future.
The (lack of) accuracy of those measurements is directly refelected in the equations and in the corresponding predictions.
In case of Newton's Law to calculate the future solely based on observations is relativ easy.
In case of General Realtivity to calculate the future solely based on observations is very difficult. IMO starting from scratch it is (almost) impossible.
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