About this book
ELEMENTARY TREATISE
ON
ASTRONOMY.
VOL. II.
CONTAINING
PHYSICAL ASTRONOMY.
BY
ROBERT WOODHOUSE, A.M. F.R.S.
FELLOW OF GONVILLE AND CAIUS COLLEGE.
CAMBRIDGE:
Printed by J. Smith, Printer to the University;
AND SOLD BY BLACK, KINGSBURY, PARBURY & ALLEN, LEADENHALL STREET, LONDON; AND DEIGHTON & SONS, Cambridge.
1818
ACCELERATING and Centripetal Forces; their Definitions: Dif-
ferential Equations of Motion caused by their Action. Trans-
formation of those Equations into others more convenient for
Astronomical purposes. Three Equations necessary for deter-
mining the Length of the Radius Vector, the Latitude and
Longitude of the Body............
Page
1
CHAP. II.
Consequences that follow from the Differential Equations of Motion
when the Forces acting on a Body in motion are Centripetal, or
are directed to one point only: Kepler's Law of the Equable
Description of Areas demonstrated. Variation of the Velocity.
The Equable Description of Areas necessarily disturbed, when
the Body is acted on by Forces, some of which are not directed
to the same Point or Centre.......
13
CHAP. III.
The Centripetal Force is supposed to act inversely as the Square of
the Distance. Consequences that flow from it. The Orbit, or
the Curve described by the moving Body round the Central, an
Ellipse. Kepler's Law of the Squares of the Periodic Times
varying as the Cubes of the Major Axes. Kepler's Problem for
determining the true from the mean Anomaly. His Law re-
specting the Periodic Times not exactly true......
a