Radius of planetary orbits from number¶
The Titius—Bode rule is an empirical formula that roughly describes the distances between the planets of the Solar System and the Sun (the average radii of the orbits).
Notes:
This rule fails to predict the correct value of the Neptune’s orbit radius.
Links:
- planet_number¶
The value \(-\infty\) corresponts to Mercury, \(0\) to Venus, \(1\) to Earth, \(2\) to Mars, \(3\) to Ceres, \(4\) to Jupyter, \(5\) to Saturn, \(6\) to Uranus, and \(7\) to Pluto.
- Symbol:
N- Latex:
\(N\)
- Dimension:
dimensionless
- first_constant¶
A quantity which is the free term in the formula.
- Symbol:
a- Latex:
\(a\)
- Dimension:
length
- second_constant¶
A quantity which is the factor before the exponent.
- Symbol:
b- Latex:
\(b\)
- Dimension:
length
- law¶
r = a + b * 2^N- Latex:
- \[r = a + b 2^{N}\]