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Examples ofcelestial mechanics
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The paradigmatic example for the application of the laws of motion,celestialmechanics, is not mentioned once.
From theCambridge English Corpus
Historically,celestialmechanicsapplies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to produce ephemeris data.
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This example is from Wikipedia and may be reused under a CC BY-SA license.He never attended a university, but was able to study mathematics, the physical sciences, andcelestialmechanics.
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This example is from Wikipedia and may be reused under a CC BY-SA license.This textbook used vector calculus systematically to solve problems ofcelestialmechanics.
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This example is from Wikipedia and may be reused under a CC BY-SA license.From the perspective of the perturbation theory used incelestialmechanicsto compute the evolution of the orbit, the semi-major axis is an adiabatic invariant.
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This example is from Wikipedia and may be reused under a CC BY-SA license.For this reason, it is worth comparing recent numerical and analytical developments in this domain for bothcelestialmechanicsand semi-classical approximations.
From theCambridge English Corpus
Fromcelestialmechanicsto the quantum theory of fields, it has always played a central role, which this little note sets out to analyse briefly.
From theCambridge English Corpus
Such transformations are widely used incelestialmechanicssimulations to improve numerical stability in the vicinity of close approaches of bodies.
From theCambridge English Corpus
This has led to them being the method of choice, for instance, incelestialmechanics, molecular dynamics, and accelerator physics.
From theCambridge English Corpus
If it were successful in doing this, we would not need physics (or, specifically, the dynamical branch of physics calledcelestialmechanics) for this purpose.
From theCambridge English Corpus
Celestialmechanicshad long been a driving force for scientific and mathematical development.
From theCambridge English Corpus
Similarly, splitting methods find application in many different areas of science: for instance, molecular dynamics, hydrodynamics, quantum mechanics and quantum statistical mechanics,celestialmechanicsand accelerator physics.
From theCambridge English Corpus
Hill's lunar problem appears incelestialmechanicsas a limit of the restricted three-body problem.
From theCambridge English Corpus
Notice, though, that in thecelestialmechanicsexample the resources that we need to establish the validity of our results come from within the theoretical structure ofcelestialmechanicsproper.
From theCambridge English Corpus
Attempts to create such a model established the more general field ofcelestialmechanics.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The approach modeled phenomena as a physical system observed with error (e.g.,celestialmechanics).
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This example is from Wikipedia and may be reused under a CC BY-SA license.Milankovi sought the solution of these complex problems in the field of spherical geometry,celestialmechanics, and theoretical physics.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Special perturbations can be applied to any problem incelestialmechanics, as it is not limited to cases where the perturbing forces are small.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The classic problem ofcelestialmechanicsis to compute the orbit of a moon, given a known distribution of mass.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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