Page images
PDF
EPUB
[merged small][merged small][merged small][ocr errors][merged small][merged small][ocr errors][merged small][ocr errors][merged small][merged small][ocr errors][merged small][ocr errors][ocr errors][merged small][ocr errors][merged small][merged small][ocr errors][merged small][ocr errors][merged small][merged small][merged small][merged small]

subject, therefore, to the third law of Kepler. The compression of

their primary and their reciprocal attraction retains their orbits in the plane of the planet's equator.

[merged small][merged small][merged small][ocr errors][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]

introduced by integration into series of perturbations 299, 312

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][ocr errors]

Areas, variation of, a test of disturbing forces

sum of, zero on two of the co-ordinate planes and a maximum on

86

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small]
[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small]

Circular motion

Page

7

77, 92

87,90

92,96

251

223, 231
312

motion of the same, as if the masses of the planets were

united in it

of a planet and its satellites

distance of primitive impulse from

Coefficients of the series expressing the disturbing action of the planets

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small]
[merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]
[merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small]
[blocks in formation]
[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small]

Ellipticity of sun, effects of on the motions of the planets
Epoch, defined

[ocr errors]

longitude of, defined

secular variation of

equation of

Equator, defined

Equation of centre, defined

expression of

of Jupiter's satellites

Equations of condition
Equinoctial points defined

[ocr errors]

334

[merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small]
[merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]

of gravity, varies inversely as the square of the distance

168

[blocks in formation]

intensity of on earth, determined by the length of the seconds
pendulum

varies as the square of the sine of the latitude

Gyration, centre and radius of

[ocr errors]

Homogeneous spheroid, its compression

48

47

101

477

[merged small][ocr errors][merged small]
« PreviousContinue »