Abstract
A small change dα;- of some coordinate a is composed of element corrections dε i according to the formula \({\Sigma _i}\left( {\partial {\alpha _j}/\partial \varepsilon } \right)d{\varepsilon _i} = d{\alpha _j}\). From a set of residuals dα j the corresponding improvements de 1 are to be found. The differential quotients are calculated from the initial elements. For the polar coordinates, the following formulation may be practicable (Heintz 1967a): Choose a convenient unit of N years for the time scale \(\tau = \left( {t - T} \right)/N;put\;e = \sin \phi\) and express also other element differentials in units of degrees:
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© 1978 D. Reidel Publishing Company, Dordrecht, Holland
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Heintz, W.D. (1978). Formulae for Differential Corrections. In: Double Stars. Geophysics and Astrophysics Monographs, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9836-0_20
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DOI: https://doi.org/10.1007/978-94-009-9836-0_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-0886-1
Online ISBN: 978-94-009-9836-0
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