Post by Admin on Mar 20, 2023 20:57:08 GMT -7
Our solar system has a 1.8-billion-year-old crime scene.
Crater-ridden surfaces, misaligned planetary orbits and streams of interplanetary debris are the cosmic equivalents of blood spatters on the wall and skid marks from a getaway car. These and other clues tell of a chaotic time for our planetary family.
Buried in those clues are hints of a lost sibling: a ninth planet (no, not Pluto) that was shattered in an ancient collision, long after earth was broken and added the moon.
thekidshouldseethis.com/tagged/teamwork
“Astronomers in the 18th century were sure there was a planet in the wide gap between Mars and Jupiter – and even formed a group called the Celestial Police to find it. But eventually, it became clear there was no single world out there, just lots and lots of little ones. Fast forward to today and more than a million asteroids have been discovered…”
en.wikipedia.org/wiki/Titius%E2%80%93Bode_law
www.nature.com/articles/239508a0
Crater-ridden surfaces, misaligned planetary orbits and streams of interplanetary debris are the cosmic equivalents of blood spatters on the wall and skid marks from a getaway car. These and other clues tell of a chaotic time for our planetary family.
Buried in those clues are hints of a lost sibling: a ninth planet (no, not Pluto) that was shattered in an ancient collision, long after earth was broken and added the moon.
thekidshouldseethis.com/tagged/teamwork
“Astronomers in the 18th century were sure there was a planet in the wide gap between Mars and Jupiter – and even formed a group called the Celestial Police to find it. But eventually, it became clear there was no single world out there, just lots and lots of little ones. Fast forward to today and more than a million asteroids have been discovered…”
en.wikipedia.org/wiki/Titius%E2%80%93Bode_law
he Titius–Bode law (sometimes termed just Bode's law) is a formulaic prediction of spacing between planets in any given solar system. The formula suggests that, extending outward, each planet should be approximately twice as far from the Sun as the one before. The hypothesis correctly anticipated the orbits of Ceres (in the asteroid belt) and Uranus, but failed as a predictor of Neptune's orbit. It is named after Johann Daniel Titius and Johann Elert Bode.
Later work by Blagg and Richardson significantly revised the original formula, and made predictions that were subsequently validated by new discoveries and observations. It is these re-formulations that offer "the best phenomenological representations of distances with which to investigate the theoretical significance of Titius–Bode type Laws".[1]
Original formulation
The law relates the semi-major axis a n {\displaystyle ~a_{n}~} of each planet outward from the Sun in units such that the Earth's semi-major axis is equal to 10:
a = 4 + x {\displaystyle ~a=4+x~}
where x = 0 , 3 , 6 , 12 , 24 , 48 , 96 , 192 , 384 , 768 … {\displaystyle ~x=0,3,6,12,24,48,96,192,384,768\ldots ~} such that, with the exception of the first step, each value is twice the previous value. There is another representation of the formula:
a = 4 + 3 × 2 n {\displaystyle ~a=4+3\times 2^{n}~}
where n = − ∞ , 0 , 1 , 2 , … . {\displaystyle ~n=-\infty ,0,1,2,\ldots ~.} The resulting values can be divided by 10 to convert them into astronomical units (AU), resulting in the expression:
a = 0.4 + 0.3 × 2 n . {\displaystyle a=0.4+0.3\times 2^{n}~.}
For the far outer planets, beyond Saturn, each planet is predicted to be roughly twice as far from the Sun as the previous object. Whereas the Titius–Bode law predicts Saturn, Uranus, Neptune, and Pluto at about 10, 20, 39, and 77 AU, the actual values are closer to 10, 19, 30, 40 AU.
This form of the law offered a good first guess; the re-formulations by Blagg and Richardson should be considered accurate.
Later work by Blagg and Richardson significantly revised the original formula, and made predictions that were subsequently validated by new discoveries and observations. It is these re-formulations that offer "the best phenomenological representations of distances with which to investigate the theoretical significance of Titius–Bode type Laws".[1]
Original formulation
The law relates the semi-major axis a n {\displaystyle ~a_{n}~} of each planet outward from the Sun in units such that the Earth's semi-major axis is equal to 10:
a = 4 + x {\displaystyle ~a=4+x~}
where x = 0 , 3 , 6 , 12 , 24 , 48 , 96 , 192 , 384 , 768 … {\displaystyle ~x=0,3,6,12,24,48,96,192,384,768\ldots ~} such that, with the exception of the first step, each value is twice the previous value. There is another representation of the formula:
a = 4 + 3 × 2 n {\displaystyle ~a=4+3\times 2^{n}~}
where n = − ∞ , 0 , 1 , 2 , … . {\displaystyle ~n=-\infty ,0,1,2,\ldots ~.} The resulting values can be divided by 10 to convert them into astronomical units (AU), resulting in the expression:
a = 0.4 + 0.3 × 2 n . {\displaystyle a=0.4+0.3\times 2^{n}~.}
For the far outer planets, beyond Saturn, each planet is predicted to be roughly twice as far from the Sun as the previous object. Whereas the Titius–Bode law predicts Saturn, Uranus, Neptune, and Pluto at about 10, 20, 39, and 77 AU, the actual values are closer to 10, 19, 30, 40 AU.
This form of the law offered a good first guess; the re-formulations by Blagg and Richardson should be considered accurate.
www.nature.com/articles/239508a0