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reparametrizing transformations

Symposium - International Astronomical Union (1)

International Astronomical Union (1)

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On two-parameter linearizing transformations for uniform treatment of two-body motion
Luis Floría
Journal:

Symposium - International Astronomical Union / Volume 172 / 1996

Published online by Cambridge University Press:

25 May 2016, pp. 299-302

Print publication:

1996
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Differential changes of time involving two parameters are considered. Universal expressions for dynamical variables of interest in Keplerian motion allow us to reduce the integration of the time transformations to that of integrands depending on an eccentric-like universal anomaly. Elliptic integrals and functions are required to complete the integration.