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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