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Advanced Celestial Mechanics
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Outline for Advanced Celestial Mechanics -
Basics1 Newton's law, Newtonian gravity & Shell theorem
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2 Gravitational field
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3 Gauss's law for gravity
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4 Coordinate systems
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5 Work, Energy & Conservative Force
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6 Non-inertial reference frames
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7 System of two particles, Momentum & CM frame
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8 Rotational & Rigid Body Motion
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Celestial Mechanics9 Orbital Equation
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10 Time in Parabolic Orbits
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11 Freefall Time
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12 Elliptic Orbits
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13 Hyperbolic Orbits
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14 Binary Stars
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15 Collisions & Slingshot
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16 Rocket Equation & Bi-elliptic Transfer
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17 Effective Potential & Orbital Perturbation
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18 Laplace-Runge-Lenz vector & Precession
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Practice Problems19 Practice Problems 1.1
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20 Practice Problems 1.2
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21 Practice Problems 2.1
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22 Practice Problems 2.2