...the mean motion of the nodes of the Moon. Newton, Vol. HI. Prop. 33. l(i» Find the horary variatioo of the inclination of the lunar orbit to the plane of the ecliptic. Newton, Vol. in. Prop. 34. 17. Describe the hydrostatic balance, and find by means of it how much of two known...

...orbit. The action of the bulging matter at the earth's equator on the moon occasions a variation in the inclination of the lunar orbit to the plane of the ecliptic. Suppose the plane Np M, fig. 13. to be the orbit of the moon, and N m » the plane of the ecliptic,...

...orbit. The action of the bulging matter at the earth's equator on the moon occasions a variation in the inclination of the lunar orbit to the plane of the ecliptic. Suppose the plane N pn, fig. 13, to be the orbit of the moon, and N mn the plane of the ecliptic, the...

...instead of a star, such a period is called the synodic period, and its length is 29 d. 12 h. 44' 2". The inclination of the lunar orbit to the plane of the ecliptic is 5° 8' 49", and the points of its intersection with the ecliptic, or its nodes, are not fixed. The...

...velocities of the bodies, prove that 6. Required the geometrical focus of a thin pencil of rays after bring refracted at a curved surface. 7. Find the place of...explain the corrections to be applied in consequence of a change in temperature. 10. The centre of gravity of the Earth and Moon describes an orbit round...

...which are equal in length to those of the spherical triangle. 4. Integrate <J;r __ _ y _ _ 6. The mean horary variation of the inclination of the lunar orbit to the plane of the ecliptie, for a given position of the line of nodes, varies nearly as the sine of twice the angular...

...from the Earth at the time t, and the differential coefficients -r- and -r4 • at at* 23. Prove that the inclination of the Lunar orbit to the plane of the ecliptic is greatest when the line of nodes is in syzygies, and least when it is in quadratures. 24. State the...