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Gravitation Two-Body System. Gravitation m1m1 m2m2 F 12 F 21.

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Presentation on theme: "Gravitation Two-Body System. Gravitation m1m1 m2m2 F 12 F 21."— Presentation transcript:

1 Gravitation Two-Body System

2 Gravitation m1m1 m2m2 F 12 F 21

3 Position - Velocity - Acceleration x y

4 Cartesic Coordinates x y y x

5 Cartesic Coordinates Velocity x y y x

6 Cartesic Coordinates Acceleration x y y x

7 Polar Coordinates x y

8 Polar Coordinates Changes of unit vectors x y

9 Polar Coordinates Velocity x y

10 Polar Coordinates Acceleration x y

11 x y

12 Two-Body System Newton’s Laws m1m1 m2m2 F 12 F 21

13 Two-Body System Reduction to one-particle problem m1m1 m2m2 F 12 F 21

14 Two-Body System Angular Momentum m1m1 m2m2 F 12 F 21

15 Two-Body System Differential Equation r m1m1 m2m2 F 12 F 21

16 Two-Body System Equation r, r 1, r 2 m1m1 m2m2 F 12 F 21

17 Two-Body System Solution of Differential Equation

18 Two-Body System Solution

19 Two-Body System Solution - Different Path

20 End


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