On the compensation of die eccentric anomaly from the mean anomaly of a planet. (Q1548688)
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scientific article; zbMATH DE number 2706202
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the compensation of die eccentric anomaly from the mean anomaly of a planet. |
scientific article; zbMATH DE number 2706202 |
Statements
On the compensation of die eccentric anomaly from the mean anomaly of a planet. (English)
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1882
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In der Gleichung \(m\;=\;E - e \sin{} E\) setzt der Verfasser \(E\;=\;m + x\) und giebt als erste Annäherung \[ r=\root\of{2}.\text{tan}\frac 12 \theta ,\quad \text{wo}\quad \text{tan}\theta\;=\;e\root\of{2} \frac{\sin{}m}{1-e\cos{}m}; \] und als zweite Näherung \[ E =\;m+x+\frac{m-m_1}{1-e\omega E_1}, \] wo \(E_1\) die erste Näherung und \(m_1 = E_1- e\sin{} E_1\) ist.
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