Packet 9: Bonus 18
Dividing the Laplace-Runge-Lenz Vector by mass times the force constant yields a vector representing this quantity. For 10 points each,
[10m] Name this orbital quantity that is 1 for hyperbolic closed orbits and about 0.016 for the Earth.
ANSWER: orbital eccentricity
[10e] The eccentricity multiplies mu squared and the cosine of the true anomaly in the mathematical depiction of this German’s first law of planetary motion.
ANSWER: Johannes Kepler
[10h] The orbital eccentricity of an intermediate ellipse produced in this technique is “r-two-minus-r-one over r-two-plus-r-one.” This technique is utilized to transfer between two circular orbits of different radii.
ANSWER: Hohmann transfer
<Science - Physics, Rohan Ganeshan> | VAULT II Packet 09
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 34 | 19.41 | 100% | 79% | 15% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Georgia A | Texas B | 10 | 10 | 0 | 20 | ME |
| Georgia B | California | 0 | 10 | 0 | 10 | E |
| New York | Texas A | 10 | 10 | 0 | 20 | ME |
| Washington | North Carolina | 10 | 10 | 0 | 20 | ME |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| VAULT II at Georgia Tech | 2026-01-24 | ✓ | 5 | 20.00 | 100% | 60% | 40% |
| VAULT II at Eden Prairie HS | 2026-03-13 | ✓ | 3 | 16.67 | 100% | 67% | 0% |
| VAULT II at McGill | 2026-03-13 | ✓ | 2 | 20.00 | 100% | 100% | 0% |
| VAULT II at UCSB | 2026-03-13 | ✓ | 5 | 24.00 | 100% | 100% | 40% |
| VAULT II Northern UK | 2026-04-24 | ✓ | 2 | 20.00 | 100% | 100% | 0% |
| VAULT II Southern UK | 2026-04-24 | ✓ | 4 | 15.00 | 100% | 50% | 0% |
| VAULT II at Harvard | 2026-04-30 | ✓ | 1 | 20.00 | 100% | 100% | 0% |
| VAULT II at MINT | 2026-06-19 | ✓ | 4 | 17.50 | 100% | 75% | 0% |
| VAULT II Stanford Online | 2026-07-17 | ✓ | 8 | 20.00 | 100% | 88% | 13% |