hector 发表于 2025-3-21 19:40:43
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,’s Integral and ,’s Second Form of Dynamical Equations,ar as here . can depend on . explicitly, which was excluded in the earlier principle. There the time had to be eliminated through the principle of ., which holds only when . does not contain . explicitly.Indigence 发表于 2025-3-22 16:44:00
,Hamilton’s Form of the Equations of Motion,(8.10) of Lecture 8, i.e., in the equation.,where . contains only ., while . is, besides, a function of the quantities .′, indeed, a homogeneous function of the second degree of these quantities. If we set .′. = ., then . is a homogeneous function of second degree in the quantities .. Hence the abovnonchalance 发表于 2025-3-22 20:18:29
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Examples of the Search for Multipliers. Attraction of a Point by a Fixed Centre in a Resisting Medie right sides of the differential equations, with the same sign as those the terms based on the attraction have. The equations of motion then become..If we take the resistance proportional to the nth power of the velocity.,where . is a constant, one has the following differential equations ..鞠躬 发表于 2025-3-23 02:14:33
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