Abstract
A transformation of the differential equations of motion of the two-body problem in the spherical coordinates to oscillator form is derived. It is shown that the independent variable transformation dt/ds=r2 is a transformation which makes the oscillator form possible.
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References
Jezewski, D. J.: 1983,Celest. Mech. 30, 343.
Sundman, K. F.: 1912,Acta Math. 36, 105.
Szebehely, V. and Bond, V.: 1983,Celest. Mech. 30, 59.
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Bond, V.R. A transformation of the two-body problem. Celestial Mechanics 35, 1–7 (1985). https://doi.org/10.1007/BF01229108
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DOI: https://doi.org/10.1007/BF01229108