An Investigation of the Orbit of Neptune With General Tables of Its Motion
An Investigation of the Orbit of Neptune With General Tables of Its Motion
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The elements being corrected by the addition of these perturbations for the epoch of computation, we thence deduce the elliptic place of the planet.
3. Perturbations of the co-ordinates.
To the elliptic place of the planet we apply corrections for- periodic perturb- ations of the co-ordinates, as follows : To the longitude in orbit, P tl sin I + P c . J cos I + P s, 2 sin 2 / -f P c . 2 cos 2 1 + &v To the logarithm of the radius vector, R sl sin I + R c j cos I + 5r .
To the north latitude, co...mputed with the true longitude in orbit, B, , sin v -\- J3 cl cos v -f fy?o- 70 TABLES OF NEPTUNE. 77 All these quantities have the same values as in 19, pp. 40 and 41.
The elliptic values of the co-ordinates being thus corrected, we have the helio- centric co-ordinates resulting from the concluded theory.
To facilitate this computation, the following tables are constructed. They are designed to give the means of determining, for any date between the years 1600 and 2000, the principal auxiliary quantities which will be needed in computing the place of the planet from the above theory.
What to read after An Investigation of the Orbit of Neptune With General Tables of Its Motion?
You can find similar books in the "Read Also" column, or choose other free books by Newcomb Simon to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The elements being corrected by the addition of these perturbations for the epoch of computation, we thence deduce the elliptic place of the planet.
3. Perturbations of the co-ordinates.
To the elliptic place of the planet we apply corrections for- periodic perturb- ations of the co-ordinates, as follows : To the longitude in orbit, P tl sin I + P c . J cos I + P s, 2 sin 2 / -f P c . 2 cos 2 1 + &v To the logarithm of the radius vector, R sl sin I + R c j cos I + 5r .
To the north latitude, co...mputed with the true longitude in orbit, B, , sin v -\- J3 cl cos v -f fy?o- 70 TABLES OF NEPTUNE. 77 All these quantities have the same values as in 19, pp. 40 and 41.
The elliptic values of the co-ordinates being thus corrected, we have the helio- centric co-ordinates resulting from the concluded theory.
To facilitate this computation, the following tables are constructed. They are designed to give the means of determining, for any date between the years 1600 and 2000, the principal auxiliary quantities which will be needed in computing the place of the planet from the above theory.
What to read after An Investigation of the Orbit of Neptune With General Tables of Its Motion?
You can find similar books in the "Read Also" column, or choose other free books by Newcomb Simon to read onlineMoreLess
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