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36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005

THEORETICAL QUESTION 1. 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005. An ill fated satellite. Objective:. Study the orbital parameters of a geostationary satellite and its orbit after a misfiring of the apogee engine. THEORETICAL QUESTION 1.

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36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005

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  1. THEORETICAL QUESTION 1 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005

  2. An ill fated satellite Objective: • Study the orbital parameters of a geostationary satellite and its orbit after a misfiring of the apogee engine. THEORETICAL QUESTION 1 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005

  3. An ill fated satellite THEORETICAL QUESTION 1 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005 Question 1: Determination of orbital parameters, velocity, energy, and angular momentum of a satellite in a geoestationary orbit. • Definitions of energy and angular momentum

  4. An ill fated satellite THEORETICAL QUESTION 1 m • Provided as a hint r l q M 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005 Question 2: Determination of orbital data after a misfiring of the engine; orientation, maximum and minimum radii, and period. • Third Kepler law

  5. An ill fated satellite Questions 3 and 4: Determination of the minimum boost parameter that allows the satellite to escape and the resulting orbital data (orienta- tion, impact parameter, minimum distance to the Earth). THEORETICAL QUESTION 1 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005 • Energy conservation. • Angular momentum conservation. • Polar equation for conics (hint).

  6. An ill fated satellite THEORETICAL QUESTION 1 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005 Physical requirements: Mechanics: • Newton’s laws. • Conservation of energy and angular momentum. • Centripetal acceleration, Kepler’s laws. Mathematical hints: • Geometry of conics.

  7. An ill fated satellite On the record: (Precedents in previous editions) • XI International Physics Olympiad (Moskow, 1979): • ....Moon landing. THEORETICAL QUESTION 1 • XXX International Physics Olympiad (Padova, 1999): • ....A space probe to Jupiter. 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005

  8. THEORETICAL QUESTION 1 36th International Physics Olympiad Theoretical competition, Tuesday July 5, 2005

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