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Jun 16, 2020 at 11:03 history edited CommunityBot
Commonmark migration
Jun 7, 2017 at 6:55 comment added JDługosz @MichaelKjörling I don't see any difference in the TeX used. But one has a vertical bar for the radical sign, and the other is slanted. I'm wondering why.
Jun 7, 2017 at 6:17 comment added user @JDługosz They look the same to me. If it bugs you, then go ahead and fix it (no need to point it out first; it's not my post, and I doubt the poster is married to the exact formatting of the particular formula), but note that Mathjax is rendered client-side and the exact result will depend on which specific renderer library is used.
Jun 7, 2017 at 4:11 comment added JDługosz @MichaelKjörling so why do the two sqrt look different on T=…?
Jun 7, 2017 at 4:10 history edited JDługosz CC BY-SA 3.0
It's means "it is"; its is the pronoun. Block (not inline) format.
Jun 6, 2017 at 18:36 history edited KareemElashmawy CC BY-SA 3.0
Adjusted figures; clarified sections.
Jun 6, 2017 at 18:25 comment added KareemElashmawy Let us continue this discussion in chat.
Jun 6, 2017 at 17:57 comment added user "The atmospheric components referenced (N2 and O2) are already gasses; therefore, they can't boil." They are gases because the temperature is above their respective boiling points. Bring the temperature down far enough and both readily become liquids: Compare cryogenic H2/O2 used as rocket fuel.
Jun 6, 2017 at 17:47 comment added KareemElashmawy @MichaelKjörling Re Elliptical Orbit: Technically the orbital mechanics involved here are much more complicated than stated. I used Kepler's laws as to make a back-of-the-envelope calculation, an educated estimate if you will. I'll update the answer to take into account perihelion and aphelion velocities.
Jun 6, 2017 at 17:44 comment added KareemElashmawy @MichaelKjörling thanks! I haven't used TeX in years! Re. Atmosphere Boiling: Actually, we both made a mistake. The atmospheric components referenced (N2 and O2) are already gasses; therefore, they can't boil. The point I was attempting to make is that at such close proximity to the sun the planet would become uninhabitable. I'll update the answer with a more verbose explanation.
Jun 6, 2017 at 17:34 comment added KareemElashmawy @JDługosz OP didn't specify the object's initial kinematic parameters with respect to the earth, earth-moon system, or earth-sun system; or, how the object was generated. Therefore, I made the implicit assumption that they would match earth. For simplicity, I took $h=0$ to speed up calculations.
Jun 6, 2017 at 15:06 comment added user Besides, I'm not sure you can assume Earth's (relatively circular) orbit's average orbital speed of 30 km/s when applying to a perihelion of 75 million km, as you seem to. In such an elliptical orbit, Earth would be moving substantially faster near perihelion than it would on average, let alone near aphelion, as per Kepler's second law of planetary motion.
Jun 6, 2017 at 15:01 history edited user CC BY-SA 3.0
Improved formatting
Jun 6, 2017 at 14:56 comment added user And of course, you do realize that the atmosphere is already boiling, right? Oxygen boils at around -200°C (I'm too lazy to look up the exact value) and nitrogen at a slightly lower temperature IIRC. There are very few solids suspended in the atmosphere, and certainly very few that are suspended in the atmosphere more than very briefly. So "atmosphere boiling BAD" is the exact situation we're already in.
Jun 6, 2017 at 14:55 comment added user For divisions involving values that themselves involve divisions, \cfrac{}{} typesets much nicer than \frac{}{}. Also, I recommend \left( and \right) instead of plain parenthesis. I've edited your answer for this.
Jun 6, 2017 at 14:54 history edited user CC BY-SA 3.0
Improved formatting
Jun 6, 2017 at 11:54 comment added JDługosz The new object will need to be orbiting the sun already, to match speeds with Earth and gently come into contact. So the orbit will not change. If the mass appeared without orbital velocity it would splat which is not described.
Jun 5, 2017 at 23:30 history answered KareemElashmawy CC BY-SA 3.0