110 likes | 279 Views
Simple Astro p hysics . J.C. Budd. Virtual Simulations. http://www.myphysicslab.com/pendulum1.html http://www.myphysicslab.com/spring1.html. Actual Measurements. Jupiter Mass:1.9 x10²⁷ Kilograms Io/ Herse Mass:8.94 x 10²² Kilograms Jupiter Diameter:142,984 Kilometers
E N D
Simple Astrophysics J.C. Budd
Virtual Simulations • http://www.myphysicslab.com/pendulum1.html • http://www.myphysicslab.com/spring1.html
Actual Measurements Jupiter Mass:1.9 x10²⁷ Kilograms Io/ Herse Mass:8.94 x 10²² Kilograms Jupiter Diameter:142,984 Kilometers Io’s Diameter:3,630 Kilometers Io Orbital Distance:422,000 Kilometers
Scale of Size and Weight Jupiter’s Mass:1/1,000,000,000,000,000,000,000,000,000 Io/ Herse Mass:1/10,000,000,000,000,000,000,000,000 Jupiter’s Diameter:1/1,000,000,000 Io/Herse Diameter: 1/100,000,000 Io Orbital Distance:1/1,000,000,000
Scale Measurements Jupiter Mass: 1.9 Kg Io/ Herse Mass: 90 g Jupiter’s Diameter: 12.5 cm Io’s Diameter: 3.6 cm Io Orbital Distance: 42 cm
Key Terms & Factors Gravity-Large bodies like Jupiter, with a high amount of mass has an incredible amount of gravity. The high tension spring represents the gravity of Jupiter, whereas a slinky would represent the strength of the pull of gravity from a moon-like body. Center of Gravity- This is the concentration of gravity in an object. Specifically when relating to orbit systems the center of gravity is also the center of revolutionary orbits. http://astro.unl.edu/naap/pos/animations/kepler.html
Procedure 1. Construct a planetary structure. 2. At 0 rpm the system represents Io at a scale 42 cm away. 3. Rotate the handle. 4. Accelerate until the moon reaches 30 rpm. 5. Maintain this speed for 5 seconds.
Procedure cont. 6.Measure the current distance that the outer edge of “Herse” is from Jupiter. Make sure this measurement occurs while the system is rotating at 30 rpm. 7. Accelerate until the moon reaches 60 rpm. 8. Maintain this speed for 5 seconds. 9. Measure the current distance that the outer edge of “Herse” is from Jupiter. Make sure this measurement occurs while the system is rotating at 30 rpm. 10. From this data conclude how orbital rotation speed influences the Semimajor axis and semiminor axis (average radius).
Centripetal Acceleration Centripetal Acceleration ac V² velocity squared t instantaneous moment ac = = r. r radius vector v²t = w²
Hypothetical Case At an instant moment the velocity is 600 km/s and the radial vector is 150,000 km. 600²t 150,000 The Centripetal Acceleration is 24 Km/s/s.