364

326, 379

326

computation of the perturbations of

great inequality of, analytical and numerical
periodical variations in the elements of the orbits of

same depending on the squares of the disturbing forces 331
secular variations of, depending on the squares of the

motion of nodes and apsides of, chiefly occasioned by the

equations, which give the secular variations in the posi-

Kepler's problem of finding the true anomaly of a planet

200

laws

satellites obey

152, 159

159

Lever

Light, principle of least action, applied to the refraction of

27

59

29

604

495

182

mean, defined

203

true, defined

203

true, in functions of mean

203

projected, in functions of true longitude, and vice versá
true, of moon

205

466

true, of Jupiter's satellites

513

of the perihelion, node and epoch defined

183

Longitudes of the perihelia, nodes and epochs

361

Lunar theory

411

393

175

396

55

56

of moon

Masses of the planets

458

349

Mean place of a planet, defined

194

motion of a planet, defined

194

motions of planets

358

greatest and least, belong to the principal axes of rotation 90

effects of the variation in the eccentricity of the earth's orbit on

nutation of the orbit of, from the action of the terrestrial equator

478

inequalities of, from the action of the planets

480

effects of secular variation in the plane of the ecliptic on

of an ethereal medium on motions of

489

of the resistance of light on the motions of the

494

of the successive transmission of the gravitating force on the

Moon's perigee and nodes not affected by the ethereal media, nor by the

Page

Motion of a system of bodies

69

of centre of gravity of a system of bodies

of centre of gravity of a solid

of a system, in all possible relations between force and velocity

71

83

81

of a planet and its satellites, the same as if they were all united in
their common centre of gravity

of celestial bodies, determined by successive approximations

178

175

Observation, elements of the planetary orbits determined by

Orbits of planets and comets, conic sections

349

152

position of, in space

204

of Jupiter and Saturn, variations of

381

determination of the motion of two, inclined at any angle

280

Period of an inequality depends on its argument
of great inequality of Jupiter and Saturn

of secular variations of the orbits of Jupiter and Saturn.
Periodic time defined

variations in the elements of the planetary orbits
depend on configurations of the bodies

Periodicity of sines and cosines of circular arcs

Perturbations of planets, Theory of