Appendix.

*511

^ recede into the Position a b ; and. this^ be the Cafe every Time the Line of

, e Apsides comes into Square with the

)

| j' ^°* On the other hand, when the Satel-i y Is in the Syzygical Line C P it is urged' j a Force in the lower Apsis C, whichtf . e< dual to the Difference between the cen-^'Petal Force and that expressed by KL;k in the upper Apsis it is equal to the^ er ence between the central Force andd > Which k /is as PT or AT, as being^ oie thereof; therefore the compound

tCe about the upper Apsis is as L_

P T

1 T, which is a greater Ratio than that

V J.

I

Pf» J

or, in Numbers, 25 —• 6 :

But 19 : 31 is a greater

W) ^ : 3 r *

than 25 to 36 ; whence the Path of

t}) e ^tellite P a q is not so much curved as

\ ^bipsis P A B, and therefore lies be-

fo ( ^ it and the Spiral P rs; and there-

h . as the Radius moves from P towards

]lj lt sooner makes a Right Angle with the

Pfe at A, than with the Oval P aq, which

'V,

e *s at a. The Line of the Apsides A B

°te goes forwards in this Cafe, and be-

<3 ty

do

a b.

Zi. And