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1.1 Falling into Jupiter. 4 comments. 1.2 Since neutrinos (and dark matter) don't interact with light, so what should happen when light comes across them? 19 comments.
At one point, the two may fall into sync, at which time Jupiter's constant gravitational tugs could accumulate and pull Mercury off course, with 1–2% probability, 3–4 billion years into the future. This could eject it from the Solar System altogether [1] or send it on a collision course with Venus, the Sun, or Earth. [10]
The jumping-Jupiter scenario specifies an evolution of giant-planet migration described by the Nice model, in which an ice giant (an additional Neptune-mass planet) is scattered inward by Saturn and then ejected by Jupiter, causing their semi-major axes to jump, and thereby quickly separating their orbits. [1]
For a particle falling in from infinity the left factor equals the right factor, since the in-falling velocity matches the escape velocity in this case. The two constants angular momentum L {\textstyle L} and total energy E {\textstyle E} of a test-particle with mass m {\textstyle m} are in terms of v {\textstyle v}
To show that, one can apply Noether's theorem to a body that freely falls into the well from infinity. Then the time invariance of the metric implies conservation of the quantity g ( v , d t ) = v 0 / T 2 {\displaystyle g(v,dt)=v^{0}/T^{2}} , where v 0 {\displaystyle v^{0}} is the time component of the 4-velocity v {\displaystyle v} of the body.
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The first impact occurred at 20:13 UTC on July 16, 1994, when fragment A of the [comet's] nucleus slammed into Jupiter's southern hemisphere at about 60 km/s (35 mi/s). Instruments on Galileo detected a fireball that reached a peak temperature of about 24,000 K (23,700 °C; 42,700 °F), compared to the typical Jovian cloud-top temperature of ...