Explanation Given information: The mass of planet is M The minimum and maximum values of distance r is equal to r 0 and r 1 . The eccentricity ε is defined as, 1 r = G M h 2 ( 1 + ε cos θ ) In above equation, G - Constant of gravitation ( 66.73 × 10 − 12 m 3 / k g s 2 ) M - Mass of planet r - Distance from center of planet to vehicle h - Angular momentum per unit mass Calculation: According to the above explanation, At point A, 1 r A = G M h 2 ( 1 + ε cos θ A ) → ( 1 ) At point B, 1

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ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

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Chapter 12.3, Problem 12.102P

To determine

Derive the relation,

1r0+1r1=2GMh2

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Chapter 12.3, Problem 12.101P

Chapter 12.3, Problem 12.103P

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