Upload
emory-oneal
View
214
Download
1
Embed Size (px)
Citation preview
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005
Objective:Study the orbital parameters of a geostationary satelliteand its orbit after a misfiring of the apogee engine.
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005
Definitions of energy and angular momentum
Question 1: Determination of orbital parameters,velocity, energy, and angular momentum of a satellite in a
geoestationary orbit.
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005
Question 2: Determination of orbital data after a misfiring of the engine; orientation, maximum and minimumradii, and period.
Third Kepler law
Provided as a hint
m
M
rl
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005
Energy conservation.
Angular momentum conservation.
Polar equation for conics (hint).
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).
Questions 3 and 4:
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005
Physical requirements:
Mechanics:
Newton’s laws. Conservation of energy and angular momentum. Centripetal acceleration, Kepler’s laws.
Geometry of conics.
Mathematical hints:
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005
On the record:
XI International Physics Olympiad (Moskow, 1979):....Moon landing.
XXX International Physics Olympiad (Padova, 1999):....A space probe to Jupiter.
(Precedents in previous editions)
36th International Physics OlympiadTheoretical competition, Tuesday July 5, 2005