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Notes
- 1.
The influence of the amplitude α0 on the period T is small. One finds values of T for \(\alpha_{0}=5^{\circ}\) which are too large by 0.048 %, for \(\alpha_{0}=10^{\circ}\) by 0.19 %, for \(\alpha_{0}=15^{\circ}\) by 0.43 % and for \(\alpha_{0}=20^{\circ}\) by 0.76 %.
- 2.
Kepler himself never progressed beyond qualitative efforts at explaining his laws. For example, in 1605, he wrote, “If we were to suppose that the earth is at rest in some particular place, and were to set another, larger earth nearby, it would be attracted by the earth just as stones are attracted to its surface”.
- 3.
For the sun, the corresponding escape velocity is 618 km/s, and for earth’s moon, it is 2.3 km/s.
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Lüders, K., Pohl, R.O. (2017). Applications of Newton’s Equation. In: Lüders, K., Pohl, R. (eds) Pohl's Introduction to Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-40046-4_4
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DOI: https://doi.org/10.1007/978-3-319-40046-4_4
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