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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Задача 3. К какой ошибке ΔD определения расстояния D приведет неучет изменения температуры на ΔT, если значения других метеопараметров были постоянными, т.е. Δp=Δe=0. D = 1,6 км M = 100000 дельтаТ = +8 градусов Цельсия e = 11 гПа z = 95 градусов
В прикреплённом файле находится учебное пособие [1], которое я использовал при решении этой задачи. В нём на странице 19 указано следующее: Цитата: http://studfiles.net/preview/3557094/page:6/
Подставив формулу (2.4) в формулу (2.1), получим следующее выражение для ошибки в расстоянии, вызванной ошибками в определении метеопараметров:
dD = D[(1,4)dT - (0,4)dP - (5,9)de)]10-6. (2.6)
Вид этой формулы позволяет сделать следующие числовые оценки. Если в процессе измерения расстояния ошибка в определении температуры воздуха составила один градус, то это внесет в результат измерения расстояния ошибку, равную примерно одной полуторамиллионной от длины измеряемого расстояния. Другими словами, если расстояние равно десяти километрам, то ошибка будет равна 14 миллиметрам. Если расстояние в несколько раз длиннее, то и соответствующая ошибка будет во столько же раз больше.
В Вашем случае, исходя из указанного выше, как я понимаю, получается, что искомая ошибка составляет
(км) (мм).
Литература 1. Шануров Г. А., Голубев Г. Н. Геотроника. Часть 3. Определение рабочей скорости распространения электромагнитных волн при измерении расстояний электронным дальномером геодезического класса. Работа с метеорологическими приборами. -- М.: МИИГАиК, 2012. -- 34 с.
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(км)
(мм).